Quantum entanglement in condensed matter systems

Einstein, 1935, Phys. Rev., 47, 777, 10.1103/PhysRev.47.777 Schrödinger, 1935, Naturwissenschaften, 23, 807, 10.1007/BF01491891 BELL, 1966, Rev. Modern Phys., 38, 447, 10.1103/RevModPhys.38.447 Aspect, 1982, Phys. Rev. Lett., 49, 1804, 10.1103/PhysRevLett.49.1804 Bennett, 1993, Phys. Rev. Lett., 70, 1895, 10.1103/PhysRevLett.70.1895 Bouwmeester, 1997, Nature, 390, 575, 10.1038/37539 Shor, 1997, SIAM J. Comput., 26, 1484, 10.1137/S0097539795293172 Wootters, 1998, Phys. Rev. Lett., 80, 2245, 10.1103/PhysRevLett.80.2245 Gisin, 2002, Rev. Modern Phys., 74, 145, 10.1103/RevModPhys.74.145 Ryu, 2006, Phys. Rev. Lett., 96 Amico, 2008, Rev. Modern Phys., 80, 517, 10.1103/RevModPhys.80.517 Horodecki, 2009, Rev. Modern Phys., 81, 865, 10.1103/RevModPhys.81.865 Eisert, 2010, Rev. Modern Phys., 82, 277, 10.1103/RevModPhys.82.277 Georgescu, 2014, Rev. Modern Phys., 86, 153, 10.1103/RevModPhys.86.153 Aolita, 2015, Rep. Progr. Phys., 78, 10.1088/0034-4885/78/4/042001 Nielsen, 2000 Preskill, 2000, J. Modern Opt., 47, 127, 10.1080/09500340008244031 Osterloh, 2002, Nature, 416, 608, 10.1038/416608a Osborne, 2002, Phys. Rev. A, 66, 10.1103/PhysRevA.66.032110 Vidal, 2003, Phys. Rev. Lett., 90, 10.1103/PhysRevLett.90.227902 Calabrese, 2004, J. Stat. Mech., 06, P06002 Verstraete, 2008, Adv. Phys., 57, 143, 10.1080/14789940801912366 Cirac, 2009, J. Phys. A, 42, 10.1088/1751-8113/42/50/504004 Schollwöck, 2011, Ann. Phys., 326, 96, 10.1016/j.aop.2010.09.012 Orus, 2014, Ann. Phys., 349, 117, 10.1016/j.aop.2014.06.013 Haque, 2009, J. Phys. A, 42 Xu, 2011, Phys. Rev. B, 84 Mollabashi, 2014, J. High Energy Phys., 04, 185, 10.1007/JHEP04(2014)185 Mozaffar, 2016, J. High Energy Phys., 03, 015, 10.1007/JHEP03(2016)015 Bombelli, 1986, Phys. Rev. D, 34, 373, 10.1103/PhysRevD.34.373 Srednicki, 1993, Phys. Rev. Lett., 71, 666, 10.1103/PhysRevLett.71.666 Callan, 1994, Phys. Lett. B, 333, 55, 10.1016/0370-2693(94)91007-3 Holzhey, 1994, Nuclear Phys. B, 424, 443, 10.1016/0550-3213(94)90402-2 Hawking, 2001, J. High Energy Phys., 05, 001, 10.1088/1126-6708/2001/05/001 Hastings, 2007, J. Stat. Mech., 08, P08024 Jordan, 1928, Z. Phys., 47, 631, 10.1007/BF01331938 Black, 1981, Phys. Rev. B, 23, 429, 10.1103/PhysRevB.23.429 Brandão, 2013, Nat. Phys., 9, 721, 10.1038/nphys2747 Cardy, 2007, J. Stat. Phys., 130, 129, 10.1007/s10955-007-9422-x Calabrese, 2010, J. Stat. Mech., 09, P09003 Levi, 2013, Phys. Rev. B, 88, 10.1103/PhysRevB.88.094439 Jin, 2004, J. Stat. Phys., 116, 79, 10.1023/B:JOSS.0000037230.37166.42 Calabrese, 2009, J. Phys. A, 42 Calabrese, 2010, Phys. Rev. Lett., 104, 10.1103/PhysRevLett.104.095701 Cardy, 2010, J. Stat. Mech., 04, P04023 Calabrese, 2010, J. Stat. Mech., 08, P08029 Xavier, 2011, Phys. Rev. B, 83, 10.1103/PhysRevB.83.214425 Xavier, 2012, Phys. Rev. B, 85, 10.1103/PhysRevB.85.024418 Laflorencie, 2006, Phys. Rev. Lett., 96, 10.1103/PhysRevLett.96.100603 Fagotti, 2011, J. Stat. Mech., 01, P01017 Dalmonte, 2011, Phys. Rev. B, 84, 10.1103/PhysRevB.84.085110 Dalmonte, 2012, Phys. Rev. B, 85, 10.1103/PhysRevB.85.165112 De~Luca, 2013, Phys. Rev. B, 87 Korepin, 2004, Phys. Rev. Lett., 92, 10.1103/PhysRevLett.92.096402 Cardy, 2014, Phys. Rev. Lett., 112 Caraglio, 2008, J. High Energy Phys., 11, 076, 10.1088/1126-6708/2008/11/076 Furukawa, 2009, Phys. Rev. Lett., 102 Calabrese, 2009, J. Stat. Mech., 11, P11001, 10.1088/1742-5468/2009/11/P11001 Alba, 2010, Phys. Rev. B, 81, 10.1103/PhysRevB.81.060411 Fagotti, 2010, J. Stat. Mech., 04, P04016 Calabrese, 2011, J. Stat. Mech., 01, P01021 Alba, 2011, J. Stat. Mech., 06, P06012 Rajabpour, 2012, J. Stat. Mech., 02, P02016 Coser, 2014, J. Stat. Mech., 01, P01008, 10.1088/1742-5468/2014/01/P01008 Cardy, 2013, J. Phys. A, 46 P. Ruggiero, V. Alba, P. Calabrese, 2016, arXiv:1605.00674. Zyczkowski, 1998, Phys. Rev. A, 58, 883, 10.1103/PhysRevA.58.883 Vidal, 2002, Phys. Rev. A, 65, 10.1103/PhysRevA.65.032314 Plenio, 2005, Phys. Rev. Lett., 95 Calabrese, 2012, Phys. Rev. Lett., 109, 10.1103/PhysRevLett.109.130502 Calabrese, 2013, J. Stat. Mech., 02, P02008, 10.1088/1742-5468/2013/02/P02008 Calabrese, 2015, J. Phys. A, 48, 10.1088/1751-8113/48/1/015006 Hoogeveen, 2015, Nuclear Phys. B, 898, 78, 10.1016/j.nuclphysb.2015.06.021 Alba, 2013, Phys. Rev. Lett., 110, 10.1103/PhysRevLett.110.260403 Chung, 2014, Phys. Rev. B, 90 Castelnovo, 2013, Phys. Rev. A, 88, 10.1103/PhysRevA.88.042319 Lee, 2013, Phys. Rev. A, 88 Bayat, 2010, Phys. Rev. B, 81, 10.1103/PhysRevB.81.064429 Alkurtass, 2016, Phys. Rev. B, 93, 10.1103/PhysRevB.93.081106 Wolf, 2006, Phys. Rev. Lett., 96 Gioev, 2006, Phys. Rev. Lett., 96, 10.1103/PhysRevLett.96.100503 Li, 2006, Phys. Rev. B, 74 Barthel, 2006, Phys. Rev. A, 74, 10.1103/PhysRevA.74.022329 Farkas, 2007, J. Math. Phys., 48, 10.1063/1.2800167 Helling, 2011, Int. Math. Res. Not., 2011, 1451 Swingle, 2010, Phys. Rev. Lett., 105, 10.1103/PhysRevLett.105.050502 Leschke, 2014, Phys. Rev. Lett., 112, 10.1103/PhysRevLett.112.160403 Swingle, 2012, Phys. Rev. B, 86 Ding, 2012, Phys. Rev. X, 2 Klich, 2006, Phys. Rev. A, 74, 10.1103/PhysRevA.74.032306 Klich, 2009, Phys. Rev. Lett., 102, 10.1103/PhysRevLett.102.100502 Hsu, 2009, Phys. Rev. B, 80 Song, 2010, Phys. Rev. B, 82 Song, 2011, Phys. Rev. B, 83 Song, 2012, Phys. Rev. B, 85 Calabrese, 2012, Europhys. Lett., 98, 20003, 10.1209/0295-5075/98/20003 Rachel, 2012, Phys. Rev. Lett., 108, 10.1103/PhysRevLett.108.116401 Süsstrunk, 2012, Europhys. Lett., 100, 60009, 10.1209/0295-5075/100/60009 Swingle, 2012, Phys. Rev. B, 86 Vicari, 2012, Phys. Rev. A, 85 Eisler, 2013, Phys. Rev. Lett., 111, 10.1103/PhysRevLett.111.080402 Klich, 2014, J. Stat. Mech., 11, P11006, 10.1088/1742-5468/2014/11/P11006 Petrescu, 2014, J. Stat. Mech., 10, P10005, 10.1088/1742-5468/2014/10/P10005 Blanter, 2000, Phys. Rep., 336, 1, 10.1016/S0370-1573(99)00123-4 Calabrese, 2011, Phys. Rev. Lett., 107, 10.1103/PhysRevLett.107.020601 Calabrese, 2012, Europhys. Lett., 97, 20009, 10.1209/0295-5075/97/20009 Eisler, 2013, Phys. Rev. Lett., 110, 10.1103/PhysRevLett.110.060602 Marino, 2014, Phys. Rev. Lett., 112 Calabrese, 2015, Phys. Rev. A, 91, 10.1103/PhysRevA.91.012303 Zhang, 2011, Phys. Rev. Lett., 107 McMinis, 2013, Phys. Rev. B, 87, 10.1103/PhysRevB.87.081108 Grover, 2013, Phys. Rev. Lett., 111 Assaad, 2014, Phys. Rev. B, 89, 10.1103/PhysRevB.89.125121 Broecker, 2014, J. Stat. Mech., 08, P08015, 10.1088/1742-5468/2014/08/P08015 Wang, 2014, Phys. Rev. Lett., 113 Assaad, 2015, Phys. Rev. B, 91, 10.1103/PhysRevB.91.125146 Drut, 2015, Phys. Rev. B, 92, 10.1103/PhysRevB.92.125126 Drut, 2016, Phys. Rev. E, 93, 10.1103/PhysRevE.93.043301 B, 2013, Phys. Rev. B, 87 Halperin, 1993, Phys. Rev. B, 47, 7312, 10.1103/PhysRevB.47.7312 Shao, 2015, Phys. Rev. Lett., 114, 10.1103/PhysRevLett.114.206402 Paramekanti, 2002, Phys. Rev. B, 66 Lai, 2013, Phys. Rev. Lett., 111 Lai, 2016, Phys. Rev. B, 93, 10.1103/PhysRevB.93.121109 Pastur, 2014, Phys. Rev. Lett., 113, 10.1103/PhysRevLett.113.150404 A.C. Potter, 2014, arXiv:1408.1094. Pouranvari, 2015, Adv. Cond. Mat. Phys., 2015 Ding, 2009, Phys. Rev. A, 80, 10.1103/PhysRevA.80.012329 Casini, 2005, J. Stat. Mech., 12, P12012, 10.1088/1742-5468/2005/12/P12012 Casini, 2008, J. Stat. Mech., 01, P01012 Casini, 2010, Phys. Lett. B, 694, 167, 10.1016/j.physletb.2010.09.054 Cardy, 2013, J. Phys. A, 46 Plenio, 2005, Phys. Rev. Lett., 94, 10.1103/PhysRevLett.94.060503 Chung, 2000, Phys. Rev. B, 62, 4191, 10.1103/PhysRevB.62.4191 Peschel, 2012, Braz. J. Phys., 42, 267, 10.1007/s13538-012-0074-1 Metlitski, 2009, Phys. Rev. B, 80, 10.1103/PhysRevB.80.115122 Casini, 2012, Phys. Rev. D, 85, 10.1103/PhysRevD.85.125016 Kallin, 2013, Phys. Rev. Lett., 110, 10.1103/PhysRevLett.110.135702 Helmes, 2014, Phys. Rev. B, 89, 10.1103/PhysRevB.89.245120 Frérot, 2016, Phys. Rev. Lett., 116, 10.1103/PhysRevLett.116.190401 Fradkin, 2006, Phys. Rev. Lett., 97, 10.1103/PhysRevLett.97.050404 Hsu, 2009, Phys. Rev. B, 79 Stéphan, 2009, Phys. Rev. B, 80, 10.1103/PhysRevB.80.184421 Casini, 2009, J. Phys. A, 42, 10.1088/1751-8113/42/50/504007 Tagliacozzo, 2009, Phys. Rev. B, 80, 10.1103/PhysRevB.80.235127 Stéphan, 2011, Phys. Rev. B, 84, 10.1103/PhysRevB.84.195128 M.A. Metlitski, T. Grover, 2011, arXiv:1112.5166. Ju, 2012, Phys. Rev. B, 85, 10.1103/PhysRevB.85.165121 Stéphan, 2013, New J. Phys., 15, 10.1088/1367-2630/15/1/015004 Inglis, 2013, New J. Phys., 15, 10.1088/1367-2630/15/7/073048 Kallin, 2014, J. Stat. Mech., 06, P06009, 10.1088/1742-5468/2014/06/P06009 Stoudenmire, 2014, Phys. Rev. B, 90, 10.1103/PhysRevB.90.235106 Chen, 2015, J. Stat. Mech., 02, P02010, 10.1088/1742-5468/2015/02/P02010 Akers, 2016, J. High Energy Phys., 03, 002, 10.1007/JHEP03(2016)002 Song, 2011, Phys. Rev. B, 83 Kitaev, 2006, Phys. Rev. Lett., 96, 10.1103/PhysRevLett.96.110404 Levin, 2006, Phys. Rev. Lett., 96, 10.1103/PhysRevLett.96.110405 Devakul, 2014, Phys. Rev. B, 90 Furukawa, 2007, Phys. Rev. B, 75 Casini, 2007, Nuclear Phys. B, 764, 183, 10.1016/j.nuclphysb.2006.12.012 B. Swingle, 2010, arXiv:1010.4038. Bueno, 2015, Phys. Rev. Lett., 115, 10.1103/PhysRevLett.115.021602 Laflorencie, 2015, Phys. Rev. B, 92, 10.1103/PhysRevB.92.115126 Bueno, 2015, J. High Energy Phys., 08, 068, 10.1007/JHEP08(2015)068 Bueno, 2015, J. High Energy Phys., 09, 091, 10.1007/JHEP09(2015)091 Sahoo, 2016, Phys. Rev. B, 93, 10.1103/PhysRevB.93.085120 Bueno, 2016, Phys. Rev. B, 93, 10.1103/PhysRevB.93.045131 Faulkner, 2016, J. High Energy Phys., 04, 088, 10.1007/JHEP04(2016)088 Nishioka, 2009, J. Phys. A, 42, 10.1088/1751-8113/42/50/504008 Singh, 2012, Phys. Rev. B, 86 Helmes, 2015, Phys. Rev. B, 92 Kos, 2014, J. High Energy Phys., 06, 091, 10.1007/JHEP06(2014)091 Kallin, 2011, Phys. Rev. B, 84, 10.1103/PhysRevB.84.165134 Anderson, 1952, Phys. Rev., 86, 694, 10.1103/PhysRev.86.694 C. Lhuillier, 2005, arXiv:cond-mat/0502464. Luitz, 2015, Phys. Rev. B, 91 Chandra, 1988, Phys. Rev. B, 38, 9335, 10.1103/PhysRevB.38.9335 Manousakis, 1991, Rev. Modern Phys., 63, 1, 10.1103/RevModPhys.63.1 Takahashi, 1989, Phys. Rev. B, 40, 2494, 10.1103/PhysRevB.40.2494 Hirsch, 1989, Phys. Rev. B, 40, 4769, 10.1103/PhysRevB.40.4769 Peschel, 2009, J. Phys. A, 42, 10.1088/1751-8113/42/50/504003 Frérot, 2015, Phys. Rev. B, 92, 10.1103/PhysRevB.92.115129 Kulchytskyy, 2015, Phys. Rev. B, 92, 10.1103/PhysRevB.92.115146 Hastings, 2010, Phys. Rev. Lett., 104, 10.1103/PhysRevLett.104.157201 Jiang, 2012, Phys. Rev. B, 86 Kolley, 2013, Phys. Rev. B, 88, 10.1103/PhysRevB.88.144426 Humeniuk, 2012, Phys. Rev. B, 86, 10.1103/PhysRevB.86.235116 Luitz, 2014, Phys. Rev. B, 90, 10.1103/PhysRevB.90.125105 Stéphan, 2014, Phys. Rev. B, 90, 10.1103/PhysRevB.90.045424 Zaletel, 2011, Phys. Rev. Lett., 107, 10.1103/PhysRevLett.107.020402 Atas, 2012, Phys. Rev. E, 86, 10.1103/PhysRevE.86.021104 Alcaraz, 2013, Phys. Rev. Lett., 111, 10.1103/PhysRevLett.111.017201 Luitz, 2014, Phys. Rev. Lett., 112, 10.1103/PhysRevLett.112.057203 Luitz, 2014, Phys. Rev. B, 89, 10.1103/PhysRevB.89.165106 Luitz, 2014, J. Stat. Mech., 08, P08007, 10.1088/1742-5468/2014/08/P08007 Alcaraz, 2014, Phys. Rev. B, 90, 10.1103/PhysRevB.90.075132 Monthus, 2015, J. Stat. Mech., 04, P04007, 10.1088/1742-5468/2015/04/P04007 Alcaraz, 2015, Phys. Rev. B, 91, 10.1103/PhysRevB.91.155122 Evers, 2008, Rev. Modern Phys., 80, 1355, 10.1103/RevModPhys.80.1355 G. Misguich, V. Pasquier, M. Ishikawa, 2015, unpublished, arXiv:1607.02465. Beach, 2009, Phys. Rev. B, 80, 10.1103/PhysRevB.80.184401 Tóth, 2010, Phys. Rev. Lett., 105 Smerald, 2015, Phys. Rev. B, 91, 10.1103/PhysRevB.91.174402 Wen, 1991, Phys. Rev. B, 44, 2664, 10.1103/PhysRevB.44.2664 Nayak, 2008, Rev. Modern Phys., 80, 1083, 10.1103/RevModPhys.80.1083 Wen, 2016, Nat. Sci. Rev., 3, 68, 10.1093/nsr/nwv077 Wen, 1990, Internat. J. Modern Phys. B, 04, 239, 10.1142/S0217979290000139 Chen, 2010, Phys. Rev. B, 82 Hamma, 2005, Phys. Lett. A, 337, 22, 10.1016/j.physleta.2005.01.060 Kitaev, 2006, Ann. Phys., 321, 2, 10.1016/j.aop.2005.10.005 Kalmeyer, 1987, Phys. Rev. Lett., 59, 2095, 10.1103/PhysRevLett.59.2095 Wen, 1989, Phys. Rev. B, 39, 11413, 10.1103/PhysRevB.39.11413 Laughlin, 1983, Phys. Rev. Lett., 50, 1395, 10.1103/PhysRevLett.50.1395 Moore, 1991, Nuclear Phys. B, 360, 362, 10.1016/0550-3213(91)90407-O Sté phan, 2012, J. Stat. Mech., 02, P02003 Ardonne, 2004, Ann. Phys., 310, 493, 10.1016/j.aop.2004.01.004 Moessner, 2001, Phys. Rev. Lett., 86, 1881, 10.1103/PhysRevLett.86.1881 Rokhsar, 1988, Phys. Rev. Lett., 61, 2376, 10.1103/PhysRevLett.61.2376 Depenbrock, 2012, Phys. Rev. Lett., 109, 10.1103/PhysRevLett.109.067201 Zhang, 2011, Phys. Rev. B, 84 Isakov, 2011, Nat. Phys., 7, 772, 10.1038/nphys2036 J. Wildeboer, A. Seidel, R.G. Melko, 2015, arXiv:1510.07682. Läuchli, 2010, New J. Phys., 12, 10.1088/1367-2630/12/7/075004 Jiang, 2012, Nat. Phys., 8, 902, 10.1038/nphys2465 Zhang, 2012, Phys. Rev. B, 85 Poilblanc, 2012, Phys. Rev. B, 86, 10.1103/PhysRevB.86.014404 Cincio, 2013, Phys. Rev. Lett., 110, 10.1103/PhysRevLett.110.067208 Poilblanc, 2013, Phys. Rev. B, 87 Jiang, 2013, Phys. Rev. Lett., 111 Lu, 2011, Phys. Rev. B, 83 Iqbal, 2013, Phys. Rev. B, 87, 10.1103/PhysRevB.87.060405 Singh, 2007, Phys. Rev. B, 76 Yan, 2011, Science, 332, 1173, 10.1126/science.1201080 Gong, 2015, Phys. Rev. B, 91 Kolley, 2015, Phys. Rev. B, 91, 10.1103/PhysRevB.91.104418 Iblisdir, 2007, Phys. Rev. Lett., 98, 10.1103/PhysRevLett.98.060402 Haque, 2007, Phys. Rev. Lett., 98 Zozulya, 2007, Phys. Rev. B, 76, 10.1103/PhysRevB.76.125310 J. Wildeboer, N.E. Bonesteel, 2015, arXiv:1510.08817. Read, 1999, Phys. Rev. B, 59, 8084, 10.1103/PhysRevB.59.8084 R.S.K. Mong, M.P. Zaletel, F. Pollmann, Z. Papić, 2015, arXiv:1505.02843. Zhu, 2015, Phys. Rev. Lett., 115 Liu, 2015, Phys. Rev. B, 92 Nishimoto, 2013, Nature Commun., 4, 3287, 10.1038/ncomms3287 Capponi, 2013, Phys. Rev. B, 88 Picot, 2016, Phys. Rev. B, 93, 10.1103/PhysRevB.93.060407 Roychowdhury, 2015, Phys. Rev. B, 92, 10.1103/PhysRevB.92.075141 Nielsen, 2013, Nature Commun., 4, 3864 Bombin, 2006, Phys. Rev. Lett., 97, 10.1103/PhysRevLett.97.180501 S.S. Jahromi, A. Langari, 2015, arXiv:1512.00756. Grover, 2011, Phys. Rev. B, 84, 10.1103/PhysRevB.84.195120 Kimchi, 2014, Phys. Rev. B, 90, 10.1103/PhysRevB.90.205126 M. Pretko, T. Senthil, 2015, arXiv:1510.03863. Castelnovo, 2007, Phys. Rev. B, 76 Castelnovo, 2007, Phys. Rev. B, 76 Helmes, 2015, Phys. Rev. B, 92 White, 1992, Phys. Rev. Lett., 69, 2863, 10.1103/PhysRevLett.69.2863 Schollwöck, 2005, Rev. Modern Phys., 77, 259, 10.1103/RevModPhys.77.259 Liang, 1994, Phys. Rev. B, 49, 9214, 10.1103/PhysRevB.49.9214 Nishino, 1995, J. Phys. Soc. Japan, 64, 3598, 10.1143/JPSJ.64.3598 White, 1998, Phys. Rev. Lett., 80, 1272, 10.1103/PhysRevLett.80.1272 Peschel, 1999, Ann. Phys. (Berlin), 8, 153, 10.1002/(SICI)1521-3889(199902)8:2<153::AID-ANDP153>3.0.CO;2-N Chung, 2001, Phys. Rev. B, 64 Cheong, 2004, Phys. Rev. B, 69 Cheong, 2004, Phys. Rev. B, 69 Eisler, 2006, J. Stat. Mech., 11, P11013, 10.1088/1742-5468/2006/11/P11013 Li, 2008, Phys. Rev. Lett., 101 Calabrese, 2008, Phys. Rev. A, 78, 10.1103/PhysRevA.78.032329 T. Giamarchi, Quantum Physics in One Dimension, Oxford, UK, 2003. Alcaraz, 1987, J. Phys. A, 20, 6397, 10.1088/0305-4470/20/18/038 Pollmann, 2010, New J. Phys., 12, 10.1088/1367-2630/12/2/025006 Alba, 2012, J. Stat. Mech., 08, P08011 Tagliacozzo, 2008, Phys. Rev. B, 78, 10.1103/PhysRevB.78.024410 Pollmann, 2009, Phys. Rev. Lett., 102, 10.1103/PhysRevLett.102.255701 Laflorencie, 2014, J. Stat. Mech., 11, P11013, 10.1088/1742-5468/2014/11/P11013 A.M. Läuchli, 2013, arXiv:1303.0741. Deng, 2011, Phys. Rev. B, 84 Peschel, 2004, J. Stat. Mech., 06, P06004 Alba, 2012, Phys. Rev. Lett., 108, 10.1103/PhysRevLett.108.227201 Wong, 2013, J. High Energy Phys., 12, 020, 10.1007/JHEP12(2013)020 Swingle, 2016, Phys. Rev. B, 93 Thomale, 2010, Phys. Rev. Lett., 105, 10.1103/PhysRevLett.105.116805 De~Chiara, 2012, Phys. Rev. Lett., 109 Lepori, 2013, Phys. Rev. B, 87, 10.1103/PhysRevB.87.235107 Giampaolo, 2013, Phys. Rev. B, 88, 10.1103/PhysRevB.88.125142 Bayat, 2014, Nature Commun., 5, 4787, 10.1038/ncomms4784 Balasubramanian, 2012, Phys. Rev. D, 86 Lundgren, 2014, Phys. Rev. Lett., 113, 10.1103/PhysRevLett.113.256404 Chandran, 2014, Phys. Rev. Lett., 113, 10.1103/PhysRevLett.113.060501 Dagotto, 1996, Science, 271, 618, 10.1126/science.271.5249.618 Abbamonte, 2004, Nature, 431, 1078, 10.1038/nature02925 Klanjšek, 2008, Phys. Rev. Lett., 101, 10.1103/PhysRevLett.101.137207 Rüegg, 2008, Phys. Rev. Lett., 101, 10.1103/PhysRevLett.101.247202 Poilblanc, 2010, Phys. Rev. Lett., 105, 10.1103/PhysRevLett.105.077202 des Cloizeaux, 1962, Phys. Rev., 128, 2131, 10.1103/PhysRev.128.2131 Cirac, 2011, Phys. Rev. B, 83, 10.1103/PhysRevB.83.245134 Peschel, 2011, Europhys. Lett., 96, 50006, 10.1209/0295-5075/96/50006 Furukawa, 2011, Phys. Rev. B, 83 Läuchli, 2012, Phys. Rev. B, 85, 10.1103/PhysRevB.85.054403 Schliemann, 2012, J. Stat. Mech., 11, P11021, 10.1088/1742-5468/2012/11/P11021 Lundgren, 2013, Phys. Rev. B, 88, 10.1103/PhysRevB.88.245137 Chen, 2013, J. Stat. Mech., 08, P08013, 10.1088/1742-5468/2013/08/P08013 Eisert, 2005, Phys. Rev. A, 72, 10.1103/PhysRevA.72.042112 Peschel, 2005, J. Stat. Mech., 11, P11002, 10.1088/1742-5468/2005/11/P11002 Dubail, 2011, Phys. Rev. Lett., 107, 10.1103/PhysRevLett.107.157001 Santos, 2013, Phys. Rev. B, 87 Lou, 2011, Phys. Rev. B, 84, 10.1103/PhysRevB.84.245128 Pižorn, 2013, Phys. Rev. B, 88, 10.1103/PhysRevB.88.195102 James, 2013, Phys. Rev. B, 87, 10.1103/PhysRevB.87.241103 Affleck, 1987, Phys. Rev. Lett., 59, 799, 10.1103/PhysRevLett.59.799 Tsui, 1982, Phys. Rev. Lett., 48, 1559, 10.1103/PhysRevLett.48.1559 Hasan, 2010, Rev. Modern Phys., 82, 3045, 10.1103/RevModPhys.82.3045 Balents, 2010, Nature, 464, 199, 10.1038/nature08917 Regnault, 2009, Phys. Rev. Lett., 103, 10.1103/PhysRevLett.103.016801 Zozulya, 2009, Phys. Rev. B, 79, 10.1103/PhysRevB.79.045409 Läuchli, 2010, Phys. Rev. Lett., 104, 10.1103/PhysRevLett.104.156404 Thomale, 2010, Phys. Rev. Lett., 104, 10.1103/PhysRevLett.104.180502 Schliemann, 2011, Phys. Rev. B, 83, 10.1103/PhysRevB.83.115322 Hermanns, 2011, Phys. Rev. B, 84, 10.1103/PhysRevB.84.121309 Chandran, 2011, Phys. Rev. B, 84, 10.1103/PhysRevB.84.205136 Qi, 2012, Phys. Rev. Lett., 108, 10.1103/PhysRevLett.108.196402 Liu, 2012, Phys. Rev. B, 85 Sterdyniak, 2012, Phys. Rev. B, 85, 10.1103/PhysRevB.85.125308 Dubail, 2012, Phys. Rev. B, 85, 10.1103/PhysRevB.85.115321 Rodríguez, 2012, Phys. Rev. Lett., 108, 10.1103/PhysRevLett.108.256806 Dubail, 2012, Phys. Rev. B, 86, 10.1103/PhysRevB.86.245310 Liu, 2013, Phys. Rev. B, 87 Zaletel, 2013, Phys. Rev. Lett., 110, 10.1103/PhysRevLett.110.236801 Hsieh, 2014, Phys. Rev. Lett., 113, 10.1103/PhysRevLett.113.106801 He, 2015, Phys. Rev. Lett., 115 N. Regnault, 2015, arXiv:1510.07670  [cond-mat]. Ryu, 2006, Phys. Rev. B, 73, 10.1103/PhysRevB.73.245115 Turner, 2010, Phys. Rev. B, 82, 10.1103/PhysRevB.82.241102 Fidkowski, 2010, Phys. Rev. Lett., 104, 10.1103/PhysRevLett.104.130502 Fidkowski, 2011, Phys. Rev. B, 83, 10.1103/PhysRevB.83.075103 Alexandradinata, 2011, Phys. Rev. B, 84, 10.1103/PhysRevB.84.195103 Regnault, 2011, Phys. Rev. X, 1 Turner, 2011, Phys. Rev. B, 83, 10.1103/PhysRevB.83.075102 Fang, 2013, Phys. Rev. B, 87 Hermanns, 2014, J. Stat. Mech., 10, P10030, 10.1088/1742-5468/2014/10/P10030 He, 2014, Phys. Rev. Lett., 112 Bauer, 2014, Nature Commun., 5, 6137, 10.1038/ncomms6137 Gong, 2014, Sci. Rep., 4, 06317, 10.1038/srep06317 Poilblanc, 2015, Phys. Rev. B, 91, 10.1103/PhysRevB.91.224431 Pollmann, 2010, Phys. Rev. B, 81, 10.1103/PhysRevB.81.064439 Santos, 2012, Europhys. Lett., 98, 37005, 10.1209/0295-5075/98/37005 Santos, 2012, J. Phys. A, 45 Huang, 2011, Phys. Rev. B, 84 R.A. Santos, C.-M. Jian, R. Lundgren, 2015, arXiv:1511.01489. Yao, 2010, Phys. Rev. Lett., 105 Dalla~Torre, 2006, Phys. Rev. Lett., 97 Nonne, 2010, Phys. Rev. B, 81, 10.1103/PhysRevB.81.020408 Verstraete, 2004, Phys. Rev. Lett., 92 Verstraete, 2004, Phys. Rev. Lett., 92 Popp, 2005, Phys. Rev. A, 71, 10.1103/PhysRevA.71.042306 Pollmann, 2012, Phys. Rev. B, 85, 10.1103/PhysRevB.85.075125 N. Regnault, Entanglement Spectroscopy and its application to the fractional quantum Hall phases, 2013. Liu, 2011, Phys. Rev. A, 83 Halperin, 1982, Phys. Rev. B, 25, 2185, 10.1103/PhysRevB.25.2185 Swingle, 2012, Phys. Rev. B, 86 Orús, 2014, Ann. Phys., 349, 117, 10.1016/j.aop.2014.06.013 Bousso, 2002, Rev. Modern Phys., 74, 825, 10.1103/RevModPhys.74.825 Schuch, 2013, Phys. Rev. Lett., 111, 10.1103/PhysRevLett.111.090501 Ho, 2015, Phys. Rev. B, 91 Messio, 2012, Phys. Rev. Lett., 108, 10.1103/PhysRevLett.108.207204 Messio, 2013, Phys. Rev. B, 87, 10.1103/PhysRevB.87.125127 L. Cincio, G. Vidal, B. Bauer, 2015, arXiv:1506.03351. Yang, 2015, Phys. Rev. Lett., 114 Bieri, 2015, Phys. Rev. B, 92, 10.1103/PhysRevB.92.060407 Wietek, 2015, Phys. Rev. B, 92, 10.1103/PhysRevB.92.125122 Peschel, 1999, J. Phys. A, 32, 8419, 10.1088/0305-4470/32/48/305 Schliemann, 2014, J. Stat. Mech., 09, P09011, 10.1088/1742-5468/2014/09/P09011 Poilblanc, 2014, J. Stat. Mech., 10, P10026, 10.1088/1742-5468/2014/10/P10026 I. Klich, D. Vaman, G. Wong, 2015, arXiv:1501.00482. Greven, 1996, Phys. Rev. Lett., 77, 1865, 10.1103/PhysRevLett.77.1865 Casini, 2011, J. High Energy Phys., 05, 036, 10.1007/JHEP05(2011)036 Affleck, 1986, Phys. Rev. Lett., 56, 746, 10.1103/PhysRevLett.56.746 Kullback, 1951, Ann. Math. Stat., 22, 79, 10.1214/aoms/1177729694 Rényi, 1961, Proc. Fourth Berkeley Symp. Math. Statist. Prob., 1, 547 Troyer, 1997, J. Phys. Soc. Japan, 66, 2957, 10.1143/JPSJ.66.2957 Matsumoto, 2001, Phys. Rev. B, 65 Wang, 2006, Phys. Rev. B, 73 Albuquerque, 2008, Phys. Rev. B, 78 Wenzel, 2009, Phys. Rev. B, 79, 10.1103/PhysRevB.79.014410 Sandvik, 2010, AIP Conf. Proc., 1297, 135, 10.1063/1.3518900 Yusuf, 2004, Phys. Rev. B, 69, 10.1103/PhysRevB.69.144412 Laflorencie, 2005, J. Stat. Mech., 12, P12001, 10.1088/1742-5468/2005/12/P12001 K.S.D. Beach, 2007, arXiv:0707.0297. Rademaker, 2015, Phys. Rev. B, 92, 10.1103/PhysRevB.92.144419 Lieb, 1962, J. Math. Phys., 3, 749, 10.1063/1.1724276 Anderson, 1958, Phys. Rev., 109, 1492, 10.1103/PhysRev.109.1492 Kondo, 1964, Progr. Theoret. Phys., 32, 37, 10.1143/PTP.32.37 Hewson, 1993 Binder, 1986, Rev. Modern Phys., 58, 801, 10.1103/RevModPhys.58.801 Edwards, 1975, J. Phys. F, 5, 965, 10.1088/0305-4608/5/5/017 Kirkpatrick, 1978, Phys. Rev. B, 17, 4384, 10.1103/PhysRevB.17.4384 Ma, 1979, Phys. Rev. Lett., 43, 1434, 10.1103/PhysRevLett.43.1434 Fisher, 1995, Phys. Rev. B, 51, 6411, 10.1103/PhysRevB.51.6411 Igloi, 2005, Phys. Rep., 412, 277, 10.1016/j.physrep.2005.02.006 Fisher, 1994, Phys. Rev. B, 50, 3799, 10.1103/PhysRevB.50.3799 Motrunich, 2000, Phys. Rev. B, 61, 1160, 10.1103/PhysRevB.61.1160 Lin, 2003, Phys. Rev. B, 68 Kovács, 2011, Phys. Rev. B, 83, 10.1103/PhysRevB.83.174207 Refael, 2004, Phys. Rev. Lett., 93, 10.1103/PhysRevLett.93.260602 Hoyos, 2007, Phys. Rev. B, 76, 10.1103/PhysRevB.76.174425 Iglói, 2008, Europhys. Lett., 81, 57003, 10.1209/0295-5075/81/57003 Turban, 1984, Phys. Lett. A, 104, 435, 10.1016/0375-9601(84)90751-5 Laflorencie, 2005, Phys. Rev. B, 72, 10.1103/PhysRevB.72.140408 Iglói, 2008, J. Stat. Mech., 06, P06004 Fagotti, 2011, Phys. Rev. B, 83 Pouranvari, 2013, Phys. Rev. B, 88, 10.1103/PhysRevB.88.075123 Alet, 2007, Phys. Rev. Lett., 99, 10.1103/PhysRevLett.99.117204 Chhajlany, 2007, Phys. Rev. Lett., 99, 10.1103/PhysRevLett.99.167204 Mambrini, 2008, Phys. Rev. B, 77, 10.1103/PhysRevB.77.134430 Jacobsen, 2008, Phys. Rev. Lett., 100 Tran, 2011, Phys. Rev. B, 84 Hyman, 1997, Phys. Rev. Lett., 78, 1783, 10.1103/PhysRevLett.78.1783 Monthus, 1998, Phys. Rev. B, 58, 805, 10.1103/PhysRevB.58.805 Refael, 2002, Phys. Rev. B, 66, 10.1103/PhysRevB.66.060402 Damle, 2002, Phys. Rev. Lett., 89, 10.1103/PhysRevLett.89.277203 Refael, 2007, Phys. Rev. B, 76, 10.1103/PhysRevB.76.024419 Bonesteel, 2007, Phys. Rev. Lett., 99, 10.1103/PhysRevLett.99.140405 Fidkowski, 2008, Phys. Rev. B, 78, 10.1103/PhysRevB.78.224204 Fidkowski, 2009, Phys. Rev. B, 79, 10.1103/PhysRevB.79.155120 Zamolodchikov, 1986, JETP Lett., 43, 730 Santachiara, 2006, J. Stat. Mech., 06, L06002 Refael, 2009, J. Phys. A, 42, 10.1088/1751-8113/42/50/504010 Vitagliano, 2010, New J. Phys., 12, 10.1088/1367-2630/12/11/113049 Ramírez, 2014, J. Stat. Mech., 10, P10004, 10.1088/1742-5468/2014/10/P10004 Ramírez, 2015, J. Stat. Mech., 06, P06002, 10.1088/1742-5468/2015/06/P06002 Irani, 2010, J. Math. Phys., 51, 10.1063/1.3254321 R. Movassagh, P.W. Shor, 2014, arXiv:1408.1657. Binosi, 2007, Phys. Rev. B, 76, 10.1103/PhysRevB.76.140405 Hoyos, 2011, Europhys. Lett., 93, 30004, 10.1209/0295-5075/93/30004 Getelina, 2016, Phys. Rev. B, 93, 10.1103/PhysRevB.93.045136 Hida, 2004, Phys. Rev. Lett., 93, 10.1103/PhysRevLett.93.037205 Vieira, 2005, Phys. Rev. Lett., 94, 10.1103/PhysRevLett.94.077201 Vieira, 2005, Phys. Rev. B, 71, 10.1103/PhysRevB.71.134408 Iglói, 2007, Europhys. Lett., 79, 37001, 10.1209/0295-5075/79/37001 Juhász, 2007, J. Stat. Mech., 04, P04004 Kovács, 2010, Phys. Rev. B, 82, 10.1103/PhysRevB.82.054437 Monthus, 2012, J. Stat. Mech., 01, P01008 Vojta, 2009, Phys. Rev. E, 79, 10.1103/PhysRevE.79.011111 Vojta, 2009, Phys. Rev. B, 79, 10.1103/PhysRevB.79.024401 Laflorencie, 2006, Phys. Rev. B, 73, 10.1103/PhysRevB.73.060403 Kovács, 2012 Lin, 2007, Phys. Rev. Lett., 99 Senthil, 1996, Phys. Rev. Lett., 77, 5292, 10.1103/PhysRevLett.77.5292 Yu, 2008, Phys. Rev. B, 77 Kovács, 2012, Europhys. Lett., 97, 67009, 10.1209/0295-5075/97/67009 Gross, 1999, Nuclear Phys. B Proc. Suppl., 74, 426, 10.1016/S0920-5632(99)00208-X Anderson, 1970, J. Phys. C, 3, 2436, 10.1088/0022-3719/3/12/008 Wilson, 1975, Rev. Modern Phys., 47, 773, 10.1103/RevModPhys.47.773 Nozières, 1974, J. Low Temp. Phys., 17, 31, 10.1007/BF00654541 Andrei, 1980, Phys. Rev. Lett., 45, 379, 10.1103/PhysRevLett.45.379 Wiegmann, 1981, J. Phys. C, 14, 1463, 10.1088/0022-3719/14/10/014 I. Affleck, 2009, arXiv:0911.2209. Bergmann, 2008, Phys. Rev. B, 77 Affleck, 2001, Phys. Rev. Lett., 86, 2854, 10.1103/PhysRevLett.86.2854 Sørensen, 2005, Phys. Rev. Lett., 94 Pereira, 2008, Phys. Rev. B, 77 Sørensen, 2007, J. Stat. Mech., 01, L01001 Sørensen, 2007, J. Stat. Mech., 08, P08003 Affleck, 2009, J. Phys. A, 42, 10.1088/1751-8113/42/50/504009 Sodano, 2010, Phys. Rev. B, 81, 10.1103/PhysRevB.81.100412 Eriksson, 2011, Phys. Rev. B, 84, 10.1103/PhysRevB.84.041107 Deschner, 2011, J. Stat. Mech., 10, P10023, 10.1088/1742-5468/2011/10/P10023 Bayat, 2012, Phys. Rev. Lett., 109, 10.1103/PhysRevLett.109.066403 Saleur, 2013, Phys. Rev. B, 88, 10.1103/PhysRevB.88.085413 Vasseur, 2014, Phys. Rev. Lett., 112 Lee, 2015, Phys. Rev. Lett., 114 Pixley, 2015, Phys. Rev. B, 91 Erdmenger, 2016, Fortschr. Phys., 64, 109, 10.1002/prop.201500099 Andrei, 1983, Rev. Modern Phys., 55, 331, 10.1103/RevModPhys.55.331 Eggert, 1992, Phys. Rev. B, 46, 10866, 10.1103/PhysRevB.46.10866 Laflorencie, 2008, J. Stat. Mech., 02, P02007 Eggert, 1996, Phys. Rev. B, 54, R9612, 10.1103/PhysRevB.54.R9612 Frahm, 1997, J. Phys.: Condens. Matter, 9, 9939 Haldane, 1982, Phys. Rev. B, 25, 4925, 10.1103/PhysRevB.25.4925 Leggett, 1987, Rev. Modern Phys., 59, 1, 10.1103/RevModPhys.59.1 Kopp, 2007, Phys. Rev. Lett., 98, 10.1103/PhysRevLett.98.220401 Le~Hur, 2007, Phys. Rev. Lett., 99 Sørensen, 1996, Phys. Rev. B, 53, 9153, 10.1103/PhysRevB.53.9153 Barzykin, 1996, Phys. Rev. Lett., 76, 4959, 10.1103/PhysRevLett.76.4959 Affleck, 1991, Phys. Rev. Lett., 67, 161, 10.1103/PhysRevLett.67.161 Zhou, 2006, Phys. Rev. A, 74 Taddia, 2013, Phys. Rev. B, 88, 10.1103/PhysRevB.88.075112 Taddia, 2013 Legeza, 2007, Phys. Rev. Lett., 99, 10.1103/PhysRevLett.99.087203 Szirmai, 2008, Phys. Rev. B, 77, 10.1103/PhysRevB.77.045106 Läuchli, 2008, J. Stat. Mech., 05, P05018 Roux, 2008, Eur. Phys. J. B, 68, 293, 10.1140/epjb/e2008-00374-7 Friedel, 1958, Neural Comput., 7, 287 Campostrini, 2010, Phys. Rev. A, 81 Fan, 2007, Phys. Rev. B, 76 Evenbly, 2010, Phys. Rev. B, 82 Silvi, 2010, J. Stat. Mech., 03, L03001 Cho, 2006, Phys. Rev. A, 73, 10.1103/PhysRevA.73.012109 Costi, 2003, Phys. Rev. A, 68, 10.1103/PhysRevA.68.034301 Hur, 2008, Ann. Phys., 323, 2208, 10.1016/j.aop.2007.12.003 Kane, 1992, Phys. Rev. Lett., 68, 1220, 10.1103/PhysRevLett.68.1220 Peschel, 2005, J. Phys. A, 38, 4327, 10.1088/0305-4470/38/20/002 Zhao, 2006, Phys. Rev. B, 73 Apollaro, 2006, Phys. Rev. A, 74, 10.1103/PhysRevA.74.062316 Calabrese, 2012, J. Phys. A, 45, 10.1088/1751-8113/45/10/105206 Freton, 2013, Nuclear Phys. B, 874, 279, 10.1016/j.nuclphysb.2013.05.015 Pouranvari, 2015, Phys. Rev. B, 91, 10.1103/PhysRevB.91.075115 Iglói, 2009, Phys. Rev. B, 80 Ghosh, 2015, J. Stat. Mech., 08, P08002, 10.1088/1742-5468/2015/08/P08002 Bayat, 2015, Phys. Rev. B, 92, 10.1103/PhysRevB.92.155141 Fleishman, 1980, Phys. Rev. B, 21, 2366, 10.1103/PhysRevB.21.2366 Altshuler, 1997, Phys. Rev. Lett., 78, 2803, 10.1103/PhysRevLett.78.2803 Jacquod, 1997, Phys. Rev. Lett., 79, 1837, 10.1103/PhysRevLett.79.1837 Georgeot, 1998, Phys. Rev. Lett., 81, 5129, 10.1103/PhysRevLett.81.5129 Gornyi, 2005, Phys. Rev. Lett., 95 Basko, 2006, Ann. Phys., 321, 1126, 10.1016/j.aop.2005.11.014 Deutsch, 1991, Phys. Rev. A, 43, 2046, 10.1103/PhysRevA.43.2046 Srednicki, 1994, Phys. Rev. E, 50, 888, 10.1103/PhysRevE.50.888 Rigol, 2008, Nature, 452, 854, 10.1038/nature06838 Nandkishore, 2015, Annu. Rev. Condens. Matter Phys., 6, 15, 10.1146/annurev-conmatphys-031214-014726 Altman, 2015, Annu. Rev. Condens. Matter Phys., 6, 383, 10.1146/annurev-conmatphys-031214-014701 Nandkishore, 2014, Phys. Rev. B, 90 Huse, 2013, Phys. Rev. B, 88, 10.1103/PhysRevB.88.014206 Bahri, 2015, Nature Commun., 6, 8341, 10.1038/ncomms8341 Chandran, 2014, Phys. Rev. B, 89, 10.1103/PhysRevB.89.144201 Bauer, 2013, J. Stat. Mech., 09, P09005, 10.1088/1742-5468/2013/09/P09005 Vosk, 2014, Phys. Rev. Lett., 112, 10.1103/PhysRevLett.112.217204 Vosk, 2013, Phys. Rev. Lett., 110, 10.1103/PhysRevLett.110.067204 Serbyn, 2013, Phys. Rev. Lett., 111, 10.1103/PhysRevLett.111.127201 Ros, 2015, Nuclear Phys. B, 891, 420, 10.1016/j.nuclphysb.2014.12.014 Chandran, 2015, Phys. Rev. B, 91, 10.1103/PhysRevB.91.085425 Žnidarič, 2008, Phys. Rev. B, 77, 10.1103/PhysRevB.77.064426 Pal, 2010, Phys. Rev. B, 82 Bardarson, 2012, Phys. Rev. Lett., 109, 10.1103/PhysRevLett.109.017202 Luca, 2013, Europhys. Lett., 101, 37003, 10.1209/0295-5075/101/37003 Luitz, 2015, Phys. Rev. B, 91 Oganesyan, 2007, Phys. Rev. B, 75, 10.1103/PhysRevB.75.155111 Mondaini, 2015, Phys. Rev. A, 92 Schreiber, 2015, Science, 349, 842, 10.1126/science.aaa7432 Iyer, 2013, Phys. Rev. B, 87, 10.1103/PhysRevB.87.134202 Kjäll, 2014, Phys. Rev. Lett., 113, 10.1103/PhysRevLett.113.107204 Laumann, 2014, Phys. Rev. Lett., 113, 10.1103/PhysRevLett.113.200405 Grover, 2014, J. Stat. Mech., 10, P10010, 10.1088/1742-5468/2014/10/P10010 De~Roeck, 2014, Phys. Rev. B, 90 Schiulaz, 2015, Phys. Rev. B, 91, 10.1103/PhysRevB.91.184202 N.Y. Yao, C.R. Laumann, J.I. Cirac, M.D. Lukin, J.E. Moore, 2014, arXiv:1410.7407. Ponte, 2015, Phys. Rev. Lett., 114, 10.1103/PhysRevLett.114.140401 Pekker, 2014, Phys. Rev. X, 4 Huang, 2014, Phys. Rev. B, 90 Vasseur, 2015, Phys. Rev. Lett., 114, 10.1103/PhysRevLett.114.217201 Friesdorf, 2015, Phys. Rev. Lett., 114, 10.1103/PhysRevLett.114.170505 Chandran, 2015, Phys. Rev. B, 92 D. Pekker, B.K. Clark, 2014, arXiv:1410.2224. V. Khemani, F. Pollmann, S.L. Sondhi, 2015, arXiv:1509.00483. X. Yu, D. Pekker, B.K. Clark, 2015, arXiv:1509.01244. Mehta, 2004, Vol. 142 Cuevas, 2012, Nature Commun., 3, 2115, 10.1038/ncomms2115 Serbyn, 2016, Phys. Rev. B, 93, 10.1103/PhysRevB.93.041424 Monthus, 2016, Entropy, 18, 122, 10.3390/e18040122 Monthus, 2016, J. Stat. Mech., 03 T. Grover, 2014, arXiv:1405.1471. A. Chandran, C.R. Laumann, V. Oganesyan, 2015, arXiv:1509.04285. Gogolin, 2016, Rep. Progr. Phys., 79, 10.1088/0034-4885/79/5/056001 Page, 1993, Phys. Rev. Lett., 71, 1291, 10.1103/PhysRevLett.71.1291 Alba, 2009, J. Stat. Mech., 10, P10020, 10.1088/1742-5468/2009/10/P10020 Sato, 2011, Phys. Rev. Lett., 106, 10.1103/PhysRevLett.106.257201 Alba, 2015, Phys. Rev. B, 91, 10.1103/PhysRevB.91.155123 Keating, 2015, Comm. Math. Phys., 338, 81, 10.1007/s00220-015-2366-0 D.M. Kennes, C. Karrasch, 2015, arXiv:1511.02205. Devakul, 2015, Phys. Rev. Lett., 115, 10.1103/PhysRevLett.115.187201 S.P. Lim, D.N. Sheng, 2015, arXiv:1510.08145. Luitz, 2016, Phys. Rev. B, 93 Nadal, 2010, Phys. Rev. Lett., 104, 10.1103/PhysRevLett.104.110501 Vosk, 2015, Phys. Rev. X, 5 Yang, 2015, Phys. Rev. Lett., 115 Leiman, 2015, Europhys. Lett., 112, 46003, 10.1209/0295-5075/112/46003 Geraedts, 2016, Phys. Rev. B, 93, 10.1103/PhysRevB.93.174202 M. Serbyn, A.A. Michailidis, D.A. Abanin, Z. Papić, 2016, arXiv:1605.05737. Feiguin, 2007, Phys. Rev. Lett., 98, 10.1103/PhysRevLett.98.160409 Vasseur, 2016, Phys. Rev. B, 93, 10.1103/PhysRevB.93.134207 Polkovnikov, 2011, Rev. Modern Phys., 83, 863, 10.1103/RevModPhys.83.863 Calabrese, 2005, J. Stat. Mech., 04, P04010 Chiara, 2006, J. Stat. Mech., 03, P03001 Alba, 2014, Phys. Rev. B, 90, 10.1103/PhysRevB.90.075144 Eisler, 2007, J. Stat. Mech., 06, P06005 Kim, 2013, Phys. Rev. Lett., 111 Bravyi, 2006, Phys. Rev. Lett., 97, 10.1103/PhysRevLett.97.050401 Eisert, 2006, Phys. Rev. Lett., 97 Burrell, 2007, Phys. Rev. Lett., 99, 10.1103/PhysRevLett.99.167201 Iglói, 2012, Phys. Rev. B, 85, 10.1103/PhysRevB.85.094417 Nanduri, 2014, Phys. Rev. B, 90, 10.1103/PhysRevB.90.064201 Agarwal, 2015, Phys. Rev. B, 92, 10.1103/PhysRevB.92.184203 Andraschko, 2014, Phys. Rev. Lett., 113, 10.1103/PhysRevLett.113.217201 Serbyn, 2013, Phys. Rev. Lett., 110, 10.1103/PhysRevLett.110.260601 Zhao, 2016, Phys. Rev. B, 93 Pino, 2014, Phys. Rev. B, 90, 10.1103/PhysRevB.90.174204 Yao, 2014, Phys. Rev. Lett., 113 Serbyn, 2014, Phys. Rev. Lett., 113, 10.1103/PhysRevLett.113.147204 Jurcevic, 2014, Nature, 511, 202, 10.1038/nature13461 Agarwal, 2015, Phys. Rev. Lett., 114, 10.1103/PhysRevLett.114.160401 Bar~Lev, 2015, Phys. Rev. Lett., 114 Torres-Herrera, 2015, Phys. Rev. B, 92, 10.1103/PhysRevB.92.014208 Luitz, 2016, Phys. Rev. B, 93 V.K. Varma, A. Lerose, F. Pietracaprina, J. Goold, A. Scardicchio, 2015, arXiv:1511.09144. I. Khait, S. Gazit, N.Y. Yao, A. Auerbach, 2016, arXiv:1603.06588. Potter, 2015, Phys. Rev. X, 5 Gopalakrishnan, 2016, Phys. Rev. B, 93, 10.1103/PhysRevB.93.134206 Griffiths, 1969, Phys. Rev. Lett., 23, 17, 10.1103/PhysRevLett.23.17 Ovadia, 2015, Sci. Rep., 5, 13503, 10.1038/srep13503 J. Smith, A. Lee, P. Richerme, B. Neyenhuis, P.W. Hess, P. Hauke, M. Heyl, D.A. Huse, C. Monroe, 2015, arXiv:1508.07026. P, 2016, Phys. Rev. Lett., 116 J.-Y. Choi, S. Hild, J. Zeiher, P. Schauß, A. Rubio-Abadal, T. Yefsah, V. Khemani, D.A. Huse, I. Bloch, C. Gross, 2016, arXiv:1604.04178. Islam, 2015, Nature, 528, 77, 10.1038/nature15750 Petz, 2011, Vol. 27, 261 Pino, 2016, Proc. Natl. Acad. Sci., 113, 536, 10.1073/pnas.1520033113 Roeck, 2014, Comm. Math. Phys., 332, 1017, 10.1007/s00220-014-2116-8 Schiulaz, 2014, AIP Conf. Proc., 1610, 11, 10.1063/1.4893505 van Horssen, 2015, Phys. Rev. B, 92, 10.1103/PhysRevB.92.100305 Papić, 2015, Ann. Phys., 362, 714, 10.1016/j.aop.2015.08.024 Hickey, 2016, J. Stat. Mech., 05 Gühne, 2009, Phys. Rep., 474, 1, 10.1016/j.physrep.2009.02.004 Makhlin, 1999, Nature, 398, 305, 10.1038/18613 Berkley, 2003, Science, 300, 1548, 10.1126/science.1084528 Ghosh, 2003, Nature, 425, 48, 10.1038/nature01888 Häffner, 2005, Nature, 438, 643, 10.1038/nature04279 Childress, 2006, Science, 314, 281, 10.1126/science.1131871 Bertaina, 2007, Nat. Nanotechnol., 2, 39, 10.1038/nnano.2006.174 Stamp, 2009, J. Mater. Chem., 19, 1718, 10.1039/B811778K Simmons, 2011, Nature, 470, 69, 10.1038/nature09696 Bernien, 2013, Nature, 497, 86, 10.1038/nature12016 Dolde, 2013, Nat. Phys., 9, 139, 10.1038/nphys2545 Pla, 2013, Nature, 496, 334, 10.1038/nature12011 Pfaff, 2014, Science, 345, 532, 10.1126/science.1253512 Pirandola, 2015, Nature Photon., 9, 641, 10.1038/nphoton.2015.154 Brukner, 2006, Phys. Rev. A, 73, 10.1103/PhysRevA.73.012110 Das, 2013, New J. Phys., 15 Singh, 2013, New J. Phys., 15, 10.1088/1367-2630/15/11/113001 Christensen, 2007, Proc. Natl. Acad. Sci., 104, 15264, 10.1073/pnas.0703293104 Candini, 2010, Phys. Rev. Lett., 104, 10.1103/PhysRevLett.104.037203 D.-J. Choi, R. Robles, S. Yan, J.A.J. Burgess, S. Rolf-Pissarczyk, J.-P. Gauyacq, N. Lorente, M. Ternes, S. Loth, 2015, arXiv:1507.04785. Cowley, 2003, J. Phys.: Condens. Matter, 15, 4143 Cramer, 2011, Phys. Rev. Lett., 106 Cramer, 2013, Nature Commun., 4, 3161, 10.1038/ncomms3161 Bennett, 2000, Nature, 404, 247, 10.1038/35005001 Bose, 2003, Phys. Rev. Lett., 91, 10.1103/PhysRevLett.91.207901 Christandl, 2004, Phys. Rev. Lett., 92, 10.1103/PhysRevLett.92.187902 Osborne, 2004, Phys. Rev. A, 69, 10.1103/PhysRevA.69.052315 Campos~Venuti, 2007, Phys. Rev. Lett., 99 Trifunovic, 2013, Phys. Rev. X, 3 Lorenzo, 2010, Phys. Rev. Lett., 105, 10.1103/PhysRevLett.105.097202 Sahling, 2015, Nat. Phys., 11, 255, 10.1038/nphys3186 Loss, 2000, Phys. Rev. Lett., 84, 1035, 10.1103/PhysRevLett.84.1035 Burkard, 2000, Phys. Rev. B, 61, R16303, 10.1103/PhysRevB.61.R16303 Chtchelkatchev, 2002, Phys. Rev. B, 66, 10.1103/PhysRevB.66.161320 Beenakker, 2003, Phys. Today, 56, 37, 10.1063/1.1583532 Crépieux, 2003, Phys. Rev. B, 67, 10.1103/PhysRevB.67.205408 Jordan, 2004, Phys. Rev. Lett., 92, 10.1103/PhysRevLett.92.247901 Thomas, 2015, Phys. Rev. B, 91 Dasenbrook, 2015, Phys. Rev. B, 92, 10.1103/PhysRevB.92.161412 Levitov, 1993, JETP, 58, 230 Esposito, 2009, Rev. Modern Phys., 81, 1665, 10.1103/RevModPhys.81.1665 Kambly, 2011, Phys. Rev. B, 83, 10.1103/PhysRevB.83.075432 Okamoto, 1992, Phys. Lett. A, 169, 433, 10.1016/0375-9601(92)90823-5 Alet, 2010, Phys. Rev. B, 82, 10.1103/PhysRevB.82.094452 Eggert, 1994, Phys. Rev. Lett., 73, 332, 10.1103/PhysRevLett.73.332 Cazalilla, 2011, Rev. Modern Phys., 83, 1405, 10.1103/RevModPhys.83.1405 Krutitsky, 2016, Phys. Rep., 607, 1, 10.1016/j.physrep.2015.10.004 Haldane, 1981, Phys. Rev. Lett., 47, 1840, 10.1103/PhysRevLett.47.1840 Krauth, 1991, Phys. Rev. B, 44, 9772, 10.1103/PhysRevB.44.9772 Batrouni, 1992, Phys. Rev. B, 46, 9051, 10.1103/PhysRevB.46.9051 Elesin, 1994, JETP Lett., 60, 177 Kashurnikov, 1996, JETP Lett., 64, 99, 10.1134/1.567139 Elstner, 1999, Phys. Rev. B, 59, 12184, 10.1103/PhysRevB.59.12184 Kühner, 2000, Phys. Rev. B, 61, 12474, 10.1103/PhysRevB.61.12474 Zakrzewski, 2008, AIP Conf. Proc., 1076, 292, 10.1063/1.3046265 Roux, 2008, Phys. Rev. A, 78, 10.1103/PhysRevA.78.023628 Ejima, 2011, Europhys. Lett., 93, 30002, 10.1209/0295-5075/93/30002 Danshita, 2011, Phys. Rev. A, 84, 10.1103/PhysRevA.84.063637 Gerster, 2016, New J. Phys., 18, 10.1088/1367-2630/18/1/015015 Gershon, 2008, Phys. Rev. Lett., 101, 10.1103/PhysRevLett.101.016803 Le~Masne, 2009, Phys. Rev. Lett., 102 Ubbelohde, 2012, Nature Commun., 3, 1620, 10.1038/ncomms1620 García-Ripoll, 2003, New J. Phys., 5, 76, 10.1088/1367-2630/5/1/376 Mandel, 2003, Nature, 425, 937, 10.1038/nature02008 P. Zoller, J.I. Cirac, L. Duan, J.J. Garcia-Ripoll, 2004, arXiv:quant-ph/0405025. Treutlein, 2006, Fortschr. Phys., 54, 702, 10.1002/prop.200610325 Bloch, 2008, Rev. Modern Phys., 80, 885, 10.1103/RevModPhys.80.885 Bloch, 2008, Nature, 453, 1016, 10.1038/nature07126 Horodecki, 2002, Phys. Rev. Lett., 89 Zanardi, 2000, Phys. Rev. A, 62, 10.1103/PhysRevA.62.030301 Cardy, 2011, Phys. Rev. Lett., 106, 10.1103/PhysRevLett.106.150404 Abanin, 2012, Phys. Rev. Lett., 109 Daley, 2012, Phys. Rev. Lett., 109, 10.1103/PhysRevLett.109.020505 Ekert, 2002, Phys. Rev. Lett., 88, 10.1103/PhysRevLett.88.217901 Moura~Alves, 2004, Phys. Rev. Lett., 93 Bakr, 2009, Nature, 462, 74, 10.1038/nature08482 Sherson, 2010, Nature, 467, 68, 10.1038/nature09378 James, 2001, Phys. Rev. A, 64, 10.1103/PhysRevA.64.052312 Mazza, 2015, New J. Phys., 17 Fukuhara, 2015, Phys. Rev. Lett., 115, 10.1103/PhysRevLett.115.035302 Hauke, 2016, Nat. Phys. Wen, 2013, Int. Scholarly Res. Not., 2013