Shortcuts to Adiabaticity

Advances in Atomic, Molecular and Optical Physics - Tập 62 - Trang 117-169 - 2013
Erik Torrontegui1, Sara Ibáñez1, Sofia Martínez-Garaot1, Michele Modugno2,3, Adolfo del Campo4,5, David Guéry-Odelin6, Andreas Ruschhaupt7, Xi Chen1,8, Juan Gonzalo Muga1,8
1Departamento de Química Física, Universidad del País Vasco—Euskal Herriko Unibertsitatea, Apdo. 644, Bilbao, Spain
2Departamento de Física Teórica e Historia de la Ciencia, Universidad del País Vasco—Euskal Herriko Unibertsitatea, Apdo. 644, Bilbao, Spain
3IKERBASQUE, Basque Foundation for Science, 48011 Bilbao, Spain
4Theoretical Division, Los Alamos National Laboratory, Los Alamos, NM, USA
5Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, NM, USA
6Laboratoire Collisions Agrégats Réactivité, CNRS UMR 5589, IRSAMC, Université Paul Sabatier, 31062 Toulouse CEDEX 4, France
7Department of Physics, University College Cork, Cork, Ireland
8Department of Physics, Shanghai University, 200444 Shanghai, People's Republic of China

Tài liệu tham khảo

Aichmayr, A., 2010. Analyzing the dynamics of an atomic Bose-Einstein-condensate within a two-mode model. Institut für Physik Karl-Franzens-Universität Graz, Bachelor-Thesis. Allen, 1987 Anandan, 1990, Geometry of quantum evolution, Phys. Rev. Lett., 65, 1697, 10.1103/PhysRevLett.65.1697 Andresen, 2011, Optimal control of the parametric oscillator, Eur. J. Phys., 32, 827, 10.1088/0143-0807/32/3/018 Band, 2002, Adiabaticity in nonlinear quantum dynamics: Bose-Einstein condensate in a time-varying box, Phys. Rev. A, 65, 033607, 10.1103/PhysRevA.65.033607 Ban, 2012, Fast and robust spin manipulation in a quantum dot by electric fields, Phys. Rev. Lett., 109, 206602, 10.1103/PhysRevLett.109.206602 Barreiro, 2011, An open-system quantum simulator with trapped ions, Nature, 470, 486, 10.1038/nature09801 Bason, 2012, High-fidelity quantum driving, Nat. Phys., 8, 147, 10.1038/nphys2170 Bender, 2007, Faster than Hermitian quantum mechanics, Phys. Rev. Lett., 98, 040403, 10.1103/PhysRevLett.98.040403 Bergmann, 1998, Coherent population transfer among quantum states of atoms and molecules, Rev. Mod. Phys., 70, 1003, 10.1103/RevModPhys.70.1003 Berry, 1987, Quantum phase corrections from adiabatic iteration, Proc. R. Soc. Lond. Ser. A, 414, 31, 10.1098/rspa.1987.0131 Berry, 1990, Histories of adibatic quantum transitions, Proc. R. Soc. Lond. A, 429, 61, 10.1098/rspa.1990.0051 Berry, 2009, Transitionless quantum driving, J. Phys. A: Math. Theory, 42, 365303, 10.1088/1751-8113/42/36/365303 Berry, 1984, Newtonian trajectories and quantum waves in expanding force fields, J. Phys. A, 17, 1805, 10.1088/0305-4470/17/9/016 Bertrand, 1987, A tomographic approach to Wigner’s function, Found. Phys., 17, 397, 10.1007/BF00733376 Blakestad, 2009, High-fidelity transport of trapped-ion qubits through an X-junction trap array, Phys. Rev. Lett., 102, 153002, 10.1103/PhysRevLett.102.153002 Bloch, 2008, Many-body physics with ultracold gases, Rev. Mod. Phys., 80, 885, 10.1103/RevModPhys.80.885 Born, 1928, Beweis des adiabatensatzes, Zeitschrift für Physik A, 51, 165, 10.1007/BF01343193 Bowler, 2012, Coherent diabatic ion transport and separation in a multi-zone trap array, Phys. Rev. Lett., 109, 080502, 10.1103/PhysRevLett.109.080502 Boyer, 2006, Dynamic manipulation of Bose-Einstein condensates with a spatial light modulator, Phys. Rev. A, 73, 031402(R), 10.1103/PhysRevA.73.031402 Buljan, 2008, Fermi-Bose transformation for the time-dependent Lieb-Liniger gas, Phys. Rev. Lett., 100, 080406, 10.1103/PhysRevLett.100.080406 Calarco, 2000, Quantum gates with neutral atoms: controlling collisional interactions in time-dependent traps, Phys. Rev. A, 61, 022304, 10.1103/PhysRevA.61.022304 Castin, 1996, Bose-Einstein condensates in time dependent traps, Phys. Rev. Lett., 77, 5315, 10.1103/PhysRevLett.77.5315 Chen, 2010, Transient energy excitation in shortcuts to adiabaticity for the time-dependent harmonic oscillator, Phys. Rev. A, 82, 053403, 10.1103/PhysRevA.82.053403 Chen, 2012, Engineering of fast population transfer in three-level systems, Phys. Rev. A., 86, 033405, 10.1103/PhysRevA.86.033405 Chen, 2009, Atom cooling by non-adiabatic expansion, Phys. Rev. A, 80, 063421, 10.1103/PhysRevA.80.063421 Chen, 2010, Nonadiabatic transport of cold atoms in a magnetic quadrupole potential, Appl. Phys. Lett., 96, 134103, 10.1063/1.3377919 Chen, 2010, Fast optimal frictionless atom cooling in harmonic traps: shortcut to adiabaticity, Phys. Rev. Lett., 104, 063002, 10.1103/PhysRevLett.104.063002 Chen, 2010, Shortcut to adiabatic passage in two and three level atoms, Phys. Rev. Lett., 105, 123003, 10.1103/PhysRevLett.105.123003 Chen, 2011, Lewis-Riesenfeld invariants and transitionless quantum driving, Phys. Rev. A, 83, 062116, 10.1103/PhysRevA.83.062116 Chen, 2011, Optimal trajectories for efficient atomic transport without final excitation, Phys. Rev. A, 84, 043415, 10.1103/PhysRevA.84.043415 Choi, 2011, Optimized sympathetic cooling of atomic mixtures via fast adiabatic strategies, Phys. Rev. A, 84, 051601(R), 10.1103/PhysRevA.84.051601 Choi, 2012, Squeezing and robustness of frictionless cooling strategies, Phys. Rev. A, 86, 043436, 10.1103/PhysRevA.86.043436 Collin, 2004, NMR-like control of a quantum bit superconducting circuit, Phys. Rev. Lett., 93, 157005, 10.1103/PhysRevLett.93.157005 Couvert, 2008, Optimal transport of ultracold atoms in the non-adiabatic regime, Europhys. Lett., 83, 13001, 10.1209/0295-5075/83/13001 Crick, 2010, Fast shuttling of ions in a scalable Penning trap array, Rev. Sci. Instr., 81, 013111, 10.1063/1.3276699 Dalfovo, 1999, Theory of Bose-Einstein Condensation in trapped gases, Rev. Mod. Phys., 71, 463, 10.1103/RevModPhys.71.463 del Campo, 2006, Dynamics of a Tonks-Girardeau gas released from a hard-wall trap, Europhys. Lett., 74, 965, 10.1209/epl/i2006-10061-5 del Campo, 2008, Fermionization and bosonization of expanding one-dimensional anyonic fluids, Phys. Rev. A, 78, 045602, 10.1103/PhysRevA.78.045602 del Campo, 2011, Fast frictionless dynamics as a toolbox for low-dimensional Bose-Einstein condensates, EPL, 96, 60005, 10.1209/0295-5075/96/60005 del Campo, 2011, Frictionless quantum quenches in ultracold gases: a quantum dynamical microscope, Phys. Rev. A, 84, 031606(R), 10.1103/PhysRevA.84.031606 del Campo, 2012, Shortcuts to adiabaticity in a time-dependent box, Sci. Rep., 2, 648, 10.1038/srep00648 del Campo, 2008, Quantum matter wave dynamics with moving mirrors, Phys. Rev. A, 77, 013608, 10.1103/PhysRevA.77.013608 del Campo, 2008, Symplectic tomography of ultracold gases in tight-waveguides, Phys. Rev. A, 78, 025602, 10.1103/PhysRevA.78.025602 del Campo, 2009, Quantum transients, Phys. Rep., 476, 1, 10.1016/j.physrep.2009.03.002 del Campo, 2012, Assisted finite-rate adiabatic passage across a quantum critical point: exact solution for the quantum Ising model, Phys. Rev. Lett., 109, 115703, 10.1103/PhysRevLett.109.115703 Demirplak, 2003, Adiabatic population transfer with control fields, J. Phys. Chem. A, 107, 9937, 10.1021/jp030708a Demirplak, 2005, Assisted adiabatic passage revisited, J. Phys. Chem. B, 109, 6838, 10.1021/jp040647w Demirplak, 2008, On the consistency, extremal, and global properties of counterdiabatic fields, J. Chem. Phys., 129, 154111, 10.1063/1.2992152 Deschamps, 2008, Superadiabaticity in magnetic resonance, J. Chem. Phys., 129, 204110, 10.1063/1.3012356 Deuretzbacher, 2008, Exact solution of strongly interacting quasi-one-dimensional spinor Bose gases, Phys. Rev. Lett., 100, 160405, 10.1103/PhysRevLett.100.160405 Dhara, 1984, Feynman propagator for time-dependent Lagrangians possessing an invariant quadratic in momentum, J. Phys. A, 17, 2423, 10.1088/0305-4470/17/12/014 Dodonov, 1993, Quantum particle in a box with moving walls, J. Math. Phys., 34, 3391, 10.1063/1.530083 Dridi, 2009, Ultrafast stimulated Raman parallel adiabatic passage by shaped pulses, Phys. Rev. A, 80, 043408, 10.1103/PhysRevA.80.043408 Dziarmaga, 2010, Dynamics of a quantum phase transition and relaxation to a steady state, Adv. Phys., 59, 1063, 10.1080/00018732.2010.514702 Engels, 2007, Observation of faraday waves in a Bose-Einstein condensate, Phys. Rev. Lett., 98, 095301, 10.1103/PhysRevLett.98.095301 Ermakov, 1880, Second order differential equations. Conditions of complete integrability. Univ. Izv. Kiev. Series III 9, 1. Translated in 2008, Appl. Anal. Discrete Math., 2, 123, 10.2298/AADM0802123E Fasihi, 2012, Non-adiabatic fast control of mixed states based on Lewis-Riesenfeld invariant, J. Phys. Soc. Jpn., 81, 024007, 10.1143/JPSJ.81.024007 Feldmann, 2012, Short time cycles of purely quantum refrigerators, Phys. Rev. E, 85, 051114, 10.1103/PhysRevE.85.051114 Friedman, 2001, Observation of chaotic and regular dynamics in atom-optics billiards, Phys. Rev. Lett., 86, 1518, 10.1103/PhysRevLett.86.1518 Friesch, 2000, Quantum carpets woven by Wigner functions, New J. Phys., 2, 4, 10.1088/1367-2630/2/1/004 Gao, 1991, Geometric phase and the generalized invariant formulation, Phys. Rev. A, 44, 7016, 10.1103/PhysRevA.44.7016 Gao, 1992, Invariants and geometric phase for systems with non-Hermitian time-dependent Hamiltonians, Phys. Rev. A, 46, 3626, 10.1103/PhysRevA.46.3626 Garrido, 1964, Generalized adiabatic invariance, J. Math. Phys., 5, 355, 10.1063/1.1704127 Gea-Banacloche, 2002, Splitting the wave function of a particle in a box, Am. J. Phys., 70, 3, 10.1119/1.1446854 Gerasimov, 1976, Possibility of observing nonstationary quantum-mechanical effects by means of ultracold neutrons, Sov. Phys. JETP, 44, 892 Godoy, 2002, Diffraction in time: Fraunhofer and Fresnel dispersion by a slit, Phys. Rev. A, 65, 042111, 10.1103/PhysRevA.65.042111 Godoy, 2003, Diffraction in time of particles released from spherical traps, Phys. Rev. A, 67, 012102, 10.1103/PhysRevA.67.012102 Gritsev, 2010, Scaling approach to quantum non-equilibrium dynamics of many-body systems, New J. Phys., 12, 113005, 10.1088/1367-2630/12/11/113005 Grond, 2009, Optimizing number squeezing when splitting a mesoscopic condensate, Phys. Rev. A, 79, 021603, 10.1103/PhysRevA.79.021603 Grond, 2009, Optimal control of number squeezing in trapped Bose-Einstein condensates, Phys. Rev. A, 80, 053625, 10.1103/PhysRevA.80.053625 Guérin, 2002, Optimization of population transfer by adiabatic passage, Phys. Rev. A, 65, 023409, 10.1103/PhysRevA.65.023409 Guérin, 2011, Optimal adiabatic passage by shaped pulses: efficiency and robustness, Phys. Rev. A, 84, 013423, 10.1103/PhysRevA.84.013423 Güngördü, 2012, Dynamical invariants of four-level systems, Phys. Rev. A, 86, 062312, 10.1103/PhysRevA.86.062312 Henderson, 2009, Experimental demonstration of painting arbitrary and dynamic potentials for Bose-Einstein condensates, New J. Phys., 11, 043030, 10.1088/1367-2630/11/4/043030 Hoffmann, 2011, Time-optimal controls for frictionless cooling in harmonic traps, EuroPhys. Lett., 96, 60015, 10.1209/0295-5075/96/60015 Hohenester, 2007, Optimal quantum control of Bose-Einstein condensates in magnetic microtraps, Phys. Rev. A, 75, 023602, 10.1103/PhysRevA.75.023602 Huber, 2008, Transport of ions in a segmented linear Paul trap in printed-circuit-board technology, New J. Phys., 10, 013004, 10.1088/1367-2630/10/1/013004 Ibáñez, 2011, Shortcuts to adiabaticity for non-Hermitian systems, Phys. Rev. A, 84, 023415, 10.1103/PhysRevA.84.023415 Ibáñez, 2012, Multiple Schrödinger pictures and dynamics in shortcuts to adiabaticity, Phys. Rev. Lett., 109, 100403, 10.1103/PhysRevLett.109.100403 Ibáñez, 2012, Erratum: shortcuts to adiabaticity for non-Hermitian systems, Phys. Rev. A, 86, 019901(E), 10.1103/PhysRevA.86.019901 Javanainen, 1999, Splitting a trap containing a Bose-Einstein condensate. Atom number fluctuations, Phys. Rev. A, 60, 2351, 10.1103/PhysRevA.60.2351 Jukić, 2008, Free expansion of a Lieb-Liniger gas: asymptotic form of the wave functions, Phys. Rev. A, 78, 053602, 10.1103/PhysRevA.78.053602 Juliá-Díaz, 2012, Fast generation of spin-squeezed states in bosonic Josephson junctions, Phys. Rev. A, 86, 063623, 10.1103/PhysRevA.86.063623 Kagan, 1996, Evolution of a Bose-condensed gas under variations of the confining potential, Phys. Rev. A, 54, R1753, 10.1103/PhysRevA.54.R1753 Keilmann, 2011, Statistically induced phase transitions and anyons in 1D optical lattices, Nature Commun., 2, 361, 10.1038/ncomms1353 Khaykovich, 2002, Formation of a matter-wave bright soliton, Science, 296, 1290, 10.1126/science.1071021 Kosloff, 2010, Optimal performance of reciprocating demagnetization quantum refrigerators, Phys. Rev. E, 82, 011134, 10.1103/PhysRevE.82.011134 Kuhr, 2001, Deterministic delivery of a single atom, Science, 293, 278, 10.1126/science.1062725 Kurtsiefer, 1997, Measurement of the Wigner function of an ensemble of helium atoms, Nature, 386, 150, 10.1038/386150a0 Lacour, 2008, Optimized adiabatic passage with dephasing, Phys. Rev. A, 78, 033417, 10.1103/PhysRevA.78.033417 Lahaye, 2006, Transport of atom packets in a train of Ioffe-Pritchard traps, Phys. Rev. A, 74, 033622, 10.1103/PhysRevA.74.033622 Lau, 2012, Proposal for a scalable universal bosonic simulator using individually trapped ions, Phys. Rev. A, 85, 062329, 10.1103/PhysRevA.85.062329 Leclerc, 2012, The role of the geometric phases in adiabatic populations tracking for non-Hermitian Hamiltonians, J. Phys. A, 45, 415201, 10.1088/1751-8113/45/41/415201 Lee, 2007, Edge solitons of topological insulators and fractionalized quasiparticles in two-dimensions, Phys. Rev. Lett., 99, 196805, 10.1103/PhysRevLett.99.196805 Leonhardt, 1997, State reconstruction in one-dimensional quantum mechanics: the continuous spectrum, Phys. Rev. A, 56, 2549, 10.1103/PhysRevA.56.2549 Levitt, 1986, Composite pulses, Prog. Nucl. Magn. Reson. Spectrosc., 18, 61, 10.1016/0079-6565(86)80005-X Levy, 2012, Quantum absorption refrigerator, Phys. Rev. Lett., 108, 070604, 10.1103/PhysRevLett.108.070604 Lewis, 1982, A direct approach to finding exact invariants for one-dimensional time-dependent classical Hamiltonians, J. Math. Phys., 23, 2371, 10.1063/1.525329 Lewis, 1969, An exact quantum theory of the time-dependent harmonic oscillator and of a charged particle in a time-dependent electromagnetic field, J. Math. Phys., 10, 1458, 10.1063/1.1664991 Li, 2011, Fast cooling of mechanical resonator with time-controllable optical cavities, Phys. Rev. A, 83, 043804, 10.1103/PhysRevA.83.043804 Lin, 2012, Mode conversion using optical analogy of shortcut to adiabatic passage in engineered multimode waveguides, Opt. Exp., 20, 24085, 10.1364/OE.20.024085 Lohe, 2009, Exact time dependence of solutions to the time-dependent Schrödinger equation, J. Phys. A: Math. Theory, 42, 035307, 10.1088/1751-8113/42/3/035307 Masuda, S., 2012. Acceleration of adiabatic transport of interacting particles and rapid manipulations of dilute Bose gas in ground state. arxiv:1208.5650. Masuda, 2008, Fast-forward problem in quantum mechanics, Phys. Rev. A, 78, 062108, 10.1103/PhysRevA.78.062108 Masuda, 2010, Fast-forward of adiabatic dynamics in quantum mechanics, Proc. R. Soc. A, 466, 1135, 10.1098/rspa.2009.0446 Masuda, 2011, Acceleration of adiabatic quantum dynamics in electromagnetic fields, Phys. Rev. A, 84, 043434, 10.1103/PhysRevA.84.043434 Messiah, 1999, vol. 2 Meyrath, 2005, Bose-Einstein condensate in a box, Phys. Rev. A, 71, 041604(R), 10.1103/PhysRevA.71.041604 Milner, 2001, Optical billiards for atoms, Phys. Rev. Lett., 86, 1514, 10.1103/PhysRevLett.86.1514 Minguzzi, 2005, Exact coherent states of a harmonically confined Tonks-Girardeau gas, Phys. Rev. Lett., 94, 240404, 10.1103/PhysRevLett.94.240404 Minguzzi, 2007, Soluble models of strongly interacting ultracold gas mixtures in tight waveguides, Phys. Rev. Lett., 99, 230402, 10.1103/PhysRevLett.99.230402 Miroschnychenko, 2006, Laser-trapped atoms in strings can be deftly rearranged and the spacing between them precisely adjusted, Nature, 442, 151 Moshinsky, 1952, Diffraction in time, Phys. Rev., 88, 625, 10.1103/PhysRev.88.625 Mostafazadeh, 2001 Mousavi, 2012, Quantum dynamics in a time-dependent hard-wall spherical trap, Europhys. Lett., 99, 30002, 10.1209/0295-5075/99/30002 Mousavi, S.V., 2012b. Quantum particle in an infinite circular-well potential with a moving wall: exact solutions and dynamics. arxiv:1207.3854. Mousavi, 2007, Ramsey interferometry with a two-level generalized Tonks-Girardeau gas, Phys. Rev. A, 76, 033607, 10.1103/PhysRevA.76.033607 Muga, 2009, Frictionless dynamics of Bose-Einstein condensates under fast trap variations, J. Phys. B: At. Mol. Opt. Phys., 42, 241001, 10.1088/0953-4075/42/24/241001 Muga, 2010, Transitionless quantum drivings for the harmonic oscillator, J. Phys. B, 43, 085509, 10.1088/0953-4075/43/8/085509 Müller, 2011, Simulating open quantum systems: from many-body interactions to stabilizer pumping, New J. Phys., 13, 085007, 10.1088/1367-2630/13/8/085007 Murphy, 2009, High-fidelity fast quantum transport with imperfect controls, Phys. Rev. A, 79, 020301(R), 10.1103/PhysRevA.79.020301 Nehrkorn, J., Montangero, S., Ekert, A., Smerzi, A., Fazio, R., Calarco, T., 2011. Staying adiabatic with unknown energy gap. arxiv:1105.1707v1. O’Dell, 2004, Exact hydrodynamics of a trapped dipolar Bose-Einstein condensate, Phys. Rev. Lett., 92, 250401, 10.1103/PhysRevLett.92.250401 Öhberg, 2002, Dynamical transition from a quasi-one-dimensional Bose-Einstein condensate to a Tonks-Girardeau gas, Phys. Rev. Lett., 89, 240402, 10.1103/PhysRevLett.89.240402 Olshanii, 2010, Example of a quantum anomaly in the physics of ultracold gases, Phys. Rev. Lett., 105, 095302, 10.1103/PhysRevLett.105.095302 Ozcakmakli, 2012, Shortcuts to adiabaticity for growing condensates, Phys. Scr., 86, 055001, 10.1088/0031-8949/86/05/055001 Palao, 1998, Composite absorbing potentials, Phys. Rev. Lett., 80, 5469, 10.1103/PhysRevLett.80.5469 Pezer, 2009, Single-particle density matrix for a time-dependent strongly interacting one-dimensional Bose gas, Phys. Rev. A, 80, 053616, 10.1103/PhysRevA.80.053616 Pezze, 2005, Dephasing and breakdown of adiabaticity in the splitting of Bose-Einstein condensates, New J. Phys., 7, 85, 10.1088/1367-2630/7/1/085 Pitaevskii, 1997, Breathing modes and hidden symmetry of trapped atoms in two-dimensions, Phys. Rev. A, 55, R853, 10.1103/PhysRevA.55.R853 Pontryagin, 1962 Prestage, 1993, Improved linear ion trap package, 144 Quan, 2012, Validity of nonequilibrium work relations for the rapidly expanding quantum piston, Phys. Rev. E, 85, 031102, 10.1103/PhysRevE.85.031102 Rahmani, 2011, Optimal control for unitary preparation of many-body states: application to Luttinger liquids, Phys. Rev. Lett., 107, 016402, 10.1103/PhysRevLett.107.016402 Reichle, 2006, Transport dynamics of single ions in segmented microstructured Paul trap arrays, Fortschr. Phys., 54, 666, 10.1002/prop.200610326 Rezek, 2009, The quantum refrigerator: the quest for absolute zero, Europhys. Lett., 85, 30008, 10.1209/0295-5075/85/30008 Rowe, 2002, Transport of quantum states and separation of ions in a dual rf ion trap, Quant. Inf. Comp., 2, 257 Ruostekoski, 2001, Interference of a Bose-Einstein condensate in a hard-wall trap: from the nonlinear Talbot effect to the formation of vorticity, Phys. Rev. A, 63, 043613, 10.1103/PhysRevA.63.043613 Ruschhaupt, 2012, Optimally robust shortcuts to population inversion in two-level quantum systems, New J. Phys., 14, 093040, 10.1088/1367-2630/14/9/093040 Sachdev, 1999 Salamon, 2009, Maximum work in minimum time from a conservative quantum system, Phys. Chem. Chem. Phys., 11, 1027, 10.1039/B816102J Salasnich, 2002, Effective wave equations for the dynamics of cigar-shaped and disk-shaped Bose Condensates, Phys. Rev. A, 65, 043614, 10.1103/PhysRevA.65.043614 Sarandy, 2011, Quantum computation in continuous time using dynamic invariants, Phys. Lett. A, 375, 3343, 10.1016/j.physleta.2011.07.041 Schaff, 2010, Fast optimal transition between two equilibrium states, Phys. Rev. A, 82, 033430, 10.1103/PhysRevA.82.033430 Schaff, 2011, STA for an interacting Bose-Einstein condensate, Europhys. Lett., 93, 23001, 10.1209/0295-5075/93/23001 Schaff, 2011, Shortcuts to adiabaticity for trapped ultracold gases, New J. Phys., 13, 113017, 10.1088/1367-2630/13/11/113017 Schmidt, 2009, Stopping particles of arbitrary velocities with an accelerated wall, Phys. Rev. A, 80, 023406, 10.1103/PhysRevA.80.023406 Sengupta, 2008, Exact results for quench dynamics and defect production in a two-dimensional model, Phys. Rev. Lett., 100, 077204, 10.1103/PhysRevLett.100.077204 Staliunas, 2004, Faraday patterns in low-dimensional Bose-Einstein condensates, Phys. Rev. A, 70, 011601(R), 10.1103/PhysRevA.70.011601 Stefanatos, 2012, Frictionless decompression in minimum time of Bose-Einstein condensates in the Thomas-Fermi regime, Phys. Rev. A, 86, 063602, 10.1103/PhysRevA.86.063602 Stefanatos, 2010, Frictionless atom cooling in harmonic traps: a time-optimal approach, Phys. Rev. A, 82, 063422, 10.1103/PhysRevA.82.063422 Stefanatos, 2011, Minimum-time frictionless atom cooling in harmonic traps, SIAM J. Cont. Opt., 49, 2440, 10.1137/100818431 Sutherland, 1998, Exact coherent states of a one-dimensional quantum fluid in a time-dependent trapping potential, Phys. Rev. Lett., 80, 3678, 10.1103/PhysRevLett.80.3678 Torosov, 2011, High-fidelity adiabatic passage by composite sequences of chirped pulses, Phys. Rev. Lett., 106, 233001, 10.1103/PhysRevLett.106.233001 Torrontegui, 2011, Fast atomic transport without vibrational heating, Phys. Rev. A, 83, 013415, 10.1103/PhysRevA.83.013415 Torrontegui, 2012, Shortcuts to adiabaticity: fast-forward approach, Phys. Rev. A, 86, 013601, 10.1103/PhysRevA.86.013601 Torrontegui, 2012, Engineering fast and stable splitting of matter waves, Phys. Rev. A, 87, 033630, 10.1103/PhysRevA.87.033630 Torrontegui, 2012, Fast transitionless expansion of cold atoms in optical Gaussian-beam traps, Phys. Rev. A, 85, 033605, 10.1103/PhysRevA.85.033605 Torrontegui, 2012, Fast transport of Bose-Einstein condensates, New J. Phys., 14, 013031, 10.1088/1367-2630/14/1/013031 Tseng, 2012, Engineering of fast mode conversion in multimode waveguides, Opt. Lett., 37, 5118, 10.1364/OL.37.005118 Unanyan, 1997, Laser-induced adiabatic atomic reorientation with control of diabatic losses, Opt. Commun., 139, 48, 10.1016/S0030-4018(97)00099-0 Uzdin, 2012, Time-dependent Hamiltonians with 100% evolution speed efficiency, J. Phys. A: Math. Theory, 45, 415304, 10.1088/1751-8113/45/41/415304 van Es, 2010, Box traps on an atom chip for one-dimensional quantum gases, J. Phys. B: At. Mol. Opt. Phys., 43, 155002, 10.1088/0953-4075/43/15/155002 Vasilev, 2009, Optimum pulse shapes for stimulated Raman adiabatic passage, Phys. Rev. A, 80, 013417, 10.1103/PhysRevA.80.013417 Vitanov, 2001, Laser-induced population transfer by adiabatic passage techniques, Annu. Rev. Phys. Chem., 52, 763, 10.1146/annurev.physchem.52.1.763 Walther, 2012, Controlling fast transport of cold trapped ions, Phys. Rev. Lett., 109, 080501, 10.1103/PhysRevLett.109.080501 Yuce, 2012, Fast frictionless expansion of an optical lattice, Phys. Lett. A, 376, 1717, 10.1016/j.physleta.2012.04.011 Zenesini, 2009, Time-resolved measurement of Landau-Zener tunneling in periodic potentials, Phys. Rev. Lett., 103, 090403, 10.1103/PhysRevLett.103.090403 Zhang, J.-Q., Yong, L., Feng, M., 2012. Cooling a charged mechanical resonator with time-dependent bias gate voltages. arxiv:1211.0770. Zhang, 2012, Experimental implementation of assisted quantum adiabatic passage in a single spin, Phys. Rev. Lett., 110, 240501, 10.1103/PhysRevLett.110.240501