Influence functional of many-body systems: Temporal entanglement and matrix-product state representation

Breuer, 2007 Weiss, 2012 Feynman, 1963, Ann. Physics, 24, 118, 10.1016/0003-4916(63)90068-X Leggett, 1987, Rev. Modern Phys., 59, 1, 10.1103/RevModPhys.59.1 Bloch, 2008, Rev. Modern Phys., 80, 885, 10.1103/RevModPhys.80.885 Blatt, 2012, Nat. Phys., 8, 277, 10.1038/nphys2252 D’Alessio, 2016, Adv. Phys., 65, 239, 10.1080/00018732.2016.1198134 Nandkishore, 2015, Ann. Rev. Condens. Matter Phys., 6, 15, 10.1146/annurev-conmatphys-031214-014726 Abanin, 2019, Rev. Mod. Phys., 91, 10.1103/RevModPhys.91.021001 Alet, 2018, C. R. Phys., 19, 498, 10.1016/j.crhy.2018.03.003 Anderson, 1958, Phys. Rev., 109, 1492, 10.1103/PhysRev.109.1492 Ponte, 2015, Phys. Rev. Lett., 114, 10.1103/PhysRevLett.114.140401 Lazarides, 2015, Phys. Rev. Lett., 115, 10.1103/PhysRevLett.115.030402 Abanin, 2016, Ann. Physics, 372, 1, 10.1016/j.aop.2016.03.010 Bordia, 2017, Nat. Phys., 13, 460, 10.1038/nphys4020 Khemani, 2016, Phys. Rev. Lett., 116 Else, 2016, Phys. Rev. Lett., 117, 10.1103/PhysRevLett.117.090402 Nathan, 2019, Phys. Rev. B, 99 Essler, 2016, J. Stat. Mech. Theory Exp., 2016, 10.1088/1742-5468/2016/06/064002 Serbyn, 2020 Deutsch, 1991, Phys. Rev. A, 43, 2046, 10.1103/PhysRevA.43.2046 Srednicki, 1994, Phys. Rev. E, 50, 888, 10.1103/PhysRevE.50.888 Verstraete, 2008, Adv. Phys., 57, 143, 10.1080/14789940801912366 Paeckel, 2019, Ann. Physics, 411, 10.1016/j.aop.2019.167998 Lerose, 2021 Ye, 2021 Bañuls, 2009, Phys. Rev. Lett., 102, 10.1103/PhysRevLett.102.240603 Müller-Hermes, 2012, New J. Phys., 14, 10.1088/1367-2630/14/7/075003 Akila, 2016, J. Phys. A, 49, 10.1088/1751-8113/49/37/375101 Bertini, 2019, Phys. Rev. Lett., 123, 10.1103/PhysRevLett.123.210601 Piroli, 2020, Phys. Rev. B, 101, 10.1103/PhysRevB.101.094304 Klobas, 2020 Sonner, 2020 Strathearn, 2018, Nature Commun., 9, 3322, 10.1038/s41467-018-05617-3 Cygorek, 2021 Kormos, 2017, Nat. Phys., 13, 246, 10.1038/nphys3934 Andrew, 2019, Phys. Rev. Lett., 122 Mazza, 2019, Phys. Rev. B, 99, 10.1103/PhysRevB.99.180302 Lerose, 2020, Phys. Rev. B, 102, 10.1103/PhysRevB.102.041118 Lerose, 2021 Sünderhauf, 2018, Phys. Rev. B, 98, 10.1103/PhysRevB.98.134204 Chan, 2020 Garratt, 2020 Haegeman, 2017, Ann. Rev. Condens. Matter Phys., 8, 355, 10.1146/annurev-conmatphys-031016-025507 Hastings, 2015, Phys. Rev. A, 91, 10.1103/PhysRevA.91.032306 Lu, 2021 Ippoliti, 2021 Kim, 2014, Phys. Rev. E, 90 Hauschild, 2018, SciPost Phys. Lect. Notes, 5 Sachdev, 2011 McCoy, 1978, Phys. Rev. D, 18, 1259, 10.1103/PhysRevD.18.1259 Bañuls, 2011, Phys. Rev. Lett., 106, 10.1103/PhysRevLett.106.050405 Lin, 2017, Phys. Rev. A, 95, 10.1103/PhysRevA.95.023621 Wurtz, 2020, Phys. Rev. B, 101 Kamenev, 2011 Zhang, 2016, Phys. Rev. B, 94 Sonner, 2020 Abanin, 2017, Phys. Rev. B, 95, 10.1103/PhysRevB.95.014112 Else, 2017, Phys. Rev. X, 7 Stoudenmire, 2010, New J. Phys., 12, 10.1088/1367-2630/12/5/055026 Skinner, 2019, Phys. Rev. X, 9 Li, 2019, Phys. Rev. B, 9 Potter, 2015, Phys. Rev. X, 5 Vosk, 2015, Phys. Rev. X, 5 Zhang, 2016, Phys. Rev. B, 93 Dumitrescu, 2017, Phys. Rev. Lett., 119, 10.1103/PhysRevLett.119.110604 Thiery, 2018, Phys. Rev. Lett., 121, 10.1103/PhysRevLett.121.140601 Goremykina, 2019, Phys. Rev. Lett., 122, 10.1103/PhysRevLett.122.040601 Makarov, 1994, Chem. Phys. Lett., 221, 482, 10.1016/0009-2614(94)00275-4 Breuer, 2016, Rev. Modern Phys., 88, 10.1103/RevModPhys.88.021002