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Quantum adiabatic processes -that keep constant the populations in the instantaneous eigenbasis of a time-dependent Hamiltonian- are very useful to prepare and manipulate states, but take typically a long time.
Born, M., Fock, V. A., 1928. Beweis des Adiabatensatzes. Zeitschrift für Physik A 51, 165
1928
Earlier work this paper cites.
Schiff, L. I., Quantum Mechanics
1949
Earlier work this paper cites.
Moshinsky, M., 1952. Diffraction in time. Phys. Rev. 88, 625
1952
Earlier work this paper cites.
Pontryagin, L. S., 1962. The Mathematical Theory of Optimal Processes (Interscience Publishers, New York)
1962
Earlier work this paper cites.
Garrido, L. M., 1964. Generalized Adiabatic Invariance. J. Math. Phys. 5, 355
1964
Earlier work this paper cites.
Lewis, H. R., 1967. Classical and quantum systems with time-dependent harmonic-oscillator-type Hamiltonians. Phys. Rev. Lett 18, 510
1967
Earlier work this paper cites.
Lewis, H. R., Riesenfeld, W. B., 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
1969
Earlier work this paper cites.
Gerasimov, A. S., Kazarnovskii, M. V. 1976. Possibility of observing nonstationary quantum-mechanical effects by means of ultracold neutrons. Sov. Phys. JETP 44, 892
1976
Earlier work this paper cites.
Lewis, H. R., Leach, P. G., 1982. A direct approach to finding exact invariants for one-dimensional time-dependent classical Hamiltonians. J. Math. Phys. 23, 2371
1982
Earlier work this paper cites.
Berry, M. V., Klein, G., 1984. Newtonian trajectories and quantum waves in expanding force fields. J. Phys A 17, 1805
1984
Earlier work this paper cites.
Dhara, A. K., Lawande, S. W., 1984. Feynman propagator for time-dependent Lagrangians possessing an invariant quadratic in momentum. J. Phys. A 17, 2423
1984
Earlier work this paper cites.
Levitt, M. H., 1986. Composite Pulses. Prog. Nucl. Magn. Reson. Spectrosc. 18, 61
1986
Earlier work this paper cites.
Allen L., Eberly, J. H., 1987. Optical Resonance and Two- Level Atoms
1987
Earlier work this paper cites.
Berry, M. V., 1987. Quantum phase corrections from adiabatic iteration. Proc. R. Soc. London, Ser. A 414, 31
1987
Earlier work this paper cites.
Bertrand, J., Bertrand, P., 1987. A tomographic approach to Wigner’s function, Found. Phys. 17, 397
1987
Earlier work this paper cites.
Anandan, J., Aharonov, Y., 1990. Geometry of quantum evolution. Phys. Rev. Lett. 65, 1697
1990
Earlier work this paper cites.
Berry, M. V., 1990. Histories of adibatic quantum transitions. Proc. R. Soc. Lond A 429, 61
1990
Earlier work this paper cites.
Gao, X. C., Xu, J. B., Qian, T. Z., 1991. Geometric phase and the generalized invariant formulation. Phys. Rev. A 44, 7016
1991
Earlier work this paper cites.
Gao, X. C., Xu, J. B., Qian, T. Z., 1992. Invariants and geometric phase for systems with non-Hermitian time-dependent Hamiltonians. Phys. Rev. A 46, 3626
1992
Earlier work this paper cites.
Dodonov, V. V., Klimov, A. B., Nikonov, D. E., 1993. Quantum particle in a box with moving walls. J. Math. Phys. 34, 3391
1993
Earlier work this paper cites.
Prestage, J. D., Tjoelker, R. L., Dick, G. J., Maleki, L., 1993. Improved Linear Ion Trap Package. Proc. 1993 IEEE Freq. Control Symposium, p. 144
1993
Earlier work this paper cites.
Castin, Y., Dum. R., 1996. Bose-Einstein Condensates in Time Dependent Traps. Phys. Rev. Lett. 77, 5315
1996
Earlier work this paper cites.
Kagan. Y., Surkov, E. L., Shlyapnikov, G. V., 1996. Evolution of a Bose-condensed gas under variations of the confining potential. Phys. Rev. A 54, R1753
1996
Earlier work this paper cites.
Kurtsiefer, Ch., Pfau, T., Mlynek, J., 1997. Measurement of the Wigner function of an ensemble of helium atoms. Nature 386, 150
1997
Earlier work this paper cites.
Leonhardt, U., Schneider, S., 1997. State reconstruction in one-dimensional quantum mechanics: The continuous spectrum. Phys. Rev. A 56, 2549
1997
Earlier work this paper cites.
Pitaevskii, L. P., Rosch, A., 1997. Breathing modes and hidden symmetry of trapped atoms in two dimensions. Phys. Rev. A 55, R853
1997
Earlier work this paper cites.
Unanyan, R. G., Yatsenko, L. P., Bergmann, K., Shore, B. W., 1997. Laser-induced adiabatic atomic reorientation with control of diabatic losses. Opt. Commun. 139, 48
1997
Earlier work this paper cites.
Bergmann, K., Theuer, H., Shore, B. W., 1998. Coherent population transfer among quantum states of atoms and molecules. Rev. Mod. Phys. 70, 1003
1998
Earlier work this paper cites.
Palao, J. P., Muga, J. G., Sala, R. 1998. Composite Absorbing Potentials. Phys. Rev. Lett. 80, 5469
1998
Earlier work this paper cites.
Sutherland, B., 1998. Exact Coherent States of a One-Dimensional Quantum Fluid in a Time-Dependent Trapping Potential. Phys. Rev. Lett. 80, 3678
1998
Earlier work this paper cites.
Dalfovo, F., Giorgini, S., Pitaevskii, L. P., Stringari, S., 1999. Theory of Bose-Einstein condensation in trapped gases. Rev. Mod. Phys. 71, 463
1999
Earlier work this paper cites.
Javanainen J., Ivanov, M. Y., 1999. Splitting a trap containing a Bose-Einstein condensate. Atom number fluctuations. Phys. Rev. A 60, 2351
1999
Earlier work this paper cites.
Messiah A., Quantum Mechanics
1999
Earlier work this paper cites.
Sachdev, S., Quantum phase transitions
1999
Earlier work this paper cites.
Calarco, T., Hinds, E. A., Jaksch, D., Schmiedmayer, J., Cirac, J. I., Zoller, P., 2000. Quantum gates with neutral atoms: Controlling collisional interactions in time-dependent traps. Phys. Rev. A 61, 022304
2000
Earlier work this paper cites.
Friesch, O. M., Marzoli, I., Schleich, W. P., 2000. Quantum carpets woven by Wigner functions. New J. Phys. 2, 4
2000
Earlier work this paper cites.
Friedman, N., Kaplan, A., Carasso, D., Davidson, N., 2001. Observation of chaotic and regular dynamics in atom-optics billiards. Phys. Rev. Lett. 86, 1518
2001
Earlier work this paper cites.
Greiner, M., Bloch, I., Hänsch, T. W., and Esslinger, T., 2001. Magnetic transport of trapped cold atoms over a large distance. Phys. Rev. A 63, 031401
2001
Earlier work this paper cites.
Hänsel, W., Hommelhoff, P., Hänsch, T. W., Reichel, J., 2001. Bose-Einstein condensation on a microelectronic chip. Nature 413, 498-501
2001
Earlier work this paper cites.
Kuhr, S., Alt, W., Schrader, D., Müller, M., Gomer, V., Meschede, D., 2001. Deterministic Delivery of a Single Atom. Science 293, 278
2001
Earlier work this paper cites.
Milner, V., Hanssen, J. L., Campbell, W. C., Raizen, M. G., 2001. Optical billiards for atoms. Phys. Rev. Lett. 86, 1514
2001
Earlier work this paper cites.
Mostafazadeh, A. Dynamical invariants, adiabatic approximation and the geometric phase
2001
Earlier work this paper cites.
Ruostekoski, J., Kneer, B., Schleich, W. P., Rempe, G., 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
2001
Earlier work this paper cites.
Vitanov, N. V., Halfmann, T., Shore, B. W., Bergmann, K., 2001. Laser-induced population transfer by adiabatic passage techniques. Annu. Rev. Phys. Chem. 52, 763
2001
Earlier work this paper cites.
Band, Y. B., Malomed, B., Trippenbach, M., 2002. Adiabaticity in nonlinear quantum dynamics: Bose-Einstein Condensate in a time-varying box. Phys. Rev. A 65, 033607
2002
Earlier work this paper cites.
Gea-Banacloche, J., 2002. Splitting the wave function of a particle in a box. Am. J. Phys 70, 3
2002
Earlier work this paper cites.
Godoy, S., 2002. Diffraction in time: Fraunhofer and Fresnel dispersion by a slit. Phys. Rev. A 65, 042111
2002
Earlier work this paper cites.
Guérin, S., Thomas, S., Jauslin, H. R., 2002. Optimization of population transfer by adiabatic passage. Phys. Rev.A 65, 023409
2002
Earlier work this paper cites.
Khaykovich, L., Schreck, F., Ferrari, G., Bourdel, T., Cubizolles, J., Carr, L. D., Castin, Y., Salomon, C., 2002. Formation of a Matter-Wave Bright Soliton. Science 296, 1290
2002
Earlier work this paper cites.
Öhberg, P., Santos, L., 2002. Dynamical Transition from a Quasi-One-Dimensional Bose-Einstein Condensate to a Tonks-Girardeau Gas. Phys. Rev. Lett. 89, 240402
2002
Earlier work this paper cites.
Rowe, M. A., Ben-Kish, A., DeMarco, B., Leibfried, D., Meyer, V., Beall, J., Britton, J., Hughes, J., Itano, W. M., Jelenkovic, B., Langer, C., Rosenband, T., Wineland, D. J., 2002. Transport of quantum states and separation of ions in a dual rf ion trap. Quant. Inf. Comp. 2, 257
2002
Earlier work this paper cites.
Salasnich, L., Parola, A., Reatto, L., 2002. Effective wave equations for the dynamics of cigar-shaped and disk-shaped Bose condensates. Phys. Rev. A 65, 043614
2002
Earlier work this paper cites.
Demirplak, M., Rice, S. A., 2003. Adiabatic Population Transfer with Control Fields. J. Phys. Chem. A 107, 9937
2003
Cited alongside, same era.
Godoy, S., 2003. Diffraction in time of particles released from spherical traps. Phys. Rev. A 67, 012102
2003
Cited alongside, same era.
Collin, E., Ithier, G., Aassime, A., Joyez, P., Vion, D., Esteve, D. 2004. NMR-like Control of a Quantum Bit Superconducting Circuit. Phys. Rev. Lett. 93, 157005
2004
Cited alongside, same era.
O’Dell, D. H. J., Giovanazzi, S., Eberlein, C., 2004. Exact Hydrodynamics of a Trapped Dipolar Bose-Einstein Condensate. Phys. Rev. Lett. 92, 250401
2004
Cited alongside, same era.
Staliunas, K., Longhi, S., de Válcarcel G. J., 2004. Faraday patterns in low-dimensional Bose-Einstein condensates. Phys. Rev. A 70
2004
Cited alongside, same era.
Gritsev, V., Barmettler, P., Demler, E., 2010. Scaling approach to quantum non-equilibrium dynamics of many-body systems. New J. Phys. 12, 113005
2010
Later among the works it cites.
Kosloff, R., Feldmann, T., 2010.Optimal performance of reciprocating demagnetization quantum refrigerators. Phys. Rev. E 82, 011134
2010
Later among the works it cites.
Masuda, S., Nakamura, K., 2010. Fast-forward of adiabatic dynamics in quantum mechanics. Proc. R. Soc. A 466, 1135
2010
Later among the works it cites.
Muga, J. G., X. Chen, S. Ibáñez, I. Lizuain, Ruschhaupt, A., 2010. Transitionless quantum drivings for the harmonic oscillator. J. Phys. B 43, 085509
2010
Later among the works it cites.
Olshanii, O., Perrin, H., Lorent, V., 2010. Example of a Quantum Anomaly in the Physics of Ultracold Gases. Phys. Rev. Lett. 105, 095302
2010
Later among the works it cites.
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Demirplak, M., Rice, S. A., 2005. Assisted Adiabatic Passage Revisited. J. Phys. Chem. B 109, 6838
2005
Cited alongside, same era.
Meyrath, T. P., Schreck, F., Hanssen , J. L., Chuu, C.-S., Raizen, M. G., 2005. Bose Einstein Condensate in a Box. Phys. Rev. A 71, 041604(R)
2005
Cited alongside, same era.
Minguzzi, A., Gangardt, D. M., 2005. Exact Coherent States of a Harmonically Confined Tonks-Girardeau Gas. Phys. Rev. Lett. 94, 240404
2005
Cited alongside, same era.
Pezze, L., Smerzi, A., Berman, G. P., Bishop, A. R., Collins, L. A., 2005. Dephasing and breakdown of adiabaticity in the splitting of Bose-Einstein condensates. New J. Phys. 7, 85
2005
Cited alongside, same era.
Boyer, V., Godun, R. M., Smirne, G., Cassettari, D., Chandrashekar, C. M., Deb, A. B., Laczik, Z. J., Foot C. J., 2006. Dynamic Manipulation of Bose-Einstein Condensates with a Spatial Light Modulator. Phys. Rev. A 73, 031402(R)
2006
Cited alongside, same era.
del Campo, A., Muga, J. G., 2006. Dynamics of a Tonks-Girardeau gas released from a hard-wall trap. Europhys. Lett. 74, 965
2006
Cited alongside, same era.
Lahaye, T., Reinaudi, G., Wang, Z., Couvert, A., Guéry-Odelin, D., 2006. Transport of Atom Packets in a Train of Ioffe-Pritchard Traps. Phys. Rev. A 74 033622
2006
Cited alongside, same era.
Stefanatos, D., J. Ruths, J. -S. Li, 2010. Frictionless atom cooling in harmonic traps: A time-optimal approach. Phys. Rev. A 82, 063422
2010
Later among the works it cites.
van Es, J. J. P., Wicke, P., van Amerongen, A. H., Rétif, C., Whitlock, S., van Druten, N. J., 2010. Box traps on an atom chip for one-dimensional quantum gases. J. Phys. B: At. Mol. Opt. Phys. 43, 155002
2010
Later among the works it cites.
Xiong, D., Wang, P., Fu, Z., Zhang, J., 2010. Transport of Bose-Einstein condensate in QUIC trap and separation of trapping spin states. Opt. Exp. 18, 1649
2010
Later among the works it cites.
Andresen, B., Hoffmann, K. H., Nulton, J., Tsirlin, A., Salamon, P., 2011. Optimal control of the parametric oscillator. Eur. J. Phys. 32, 827
2011
Later among the works it cites.
Barreiro, J. T., Müller, M., Schindler, P., Nigg, D., Monz, T., Chwalla, M., Hennrich, M., Roos, C. F., Zoller P., Blatt, R., 2011. An open-system quantum simulator with trapped ions. Nature 470, 486
2011
Later among the works it cites.
Choi, S., Onofrio, R., Sundaram, B., 2011. Optimized sympathetic cooling of atomic mixtures via fast adiabatic strategies. Phys. Rev. A 84, 051601(R)
2011
Later among the works it cites.
Guérin, S., Hakobyan, V., Jauslin, H. R., 2011. Optimal adiabatic passage by shaped pulses: Efficiency and robustness. Phys. Rev. A 84, 013423
2011
Later among the works it cites.
Hoffmann, K. H., Salamon, P., Rezek Y., Kosloff, R., 2011. Time-optimal controls for frictionless cooling in harmonic traps. EuroPhys. Lett. 96, 60015
2011
Later among the works it cites.
Ibáñez, S., Martínez-Garaot, S., Chen, X., Torrontegui E., Muga, J. G., 2011a. Shortcuts to adiabaticity for non-Hermitian systems. Phys. Rev. A 84, 023415
2011
Later among the works it cites.
Ibáñez, S., Martínez-Garaot, S., Chen, X., Torrontegui E., Muga, J. G., 2012b. Erratum: Shortcuts to adiabaticity for non-Hermitian systems [Phys. Rev. A 84, 023415 (2011)]. Phys. Rev. A 86, 019901(E)
2011
Later among the works it cites.
Keilmann, T., Lanzmich, S., McCulloch, I., Roncaglia, M., 2011. Statistically induced phase transitions and anyons in 1D optical lattices. Nature Communications 2, 361
2011
Later among the works it cites.
Li, Y., Wu, L. A., Wang, Z. D., 2011. Fast cooling of mechanical resonator with time-controllable optical cavities. Phys. Rev. A 83, 043804
2011
Later among the works it cites.
Masuda, S., Nakamura, K., 2011. Acceleration of adiabatic quantum dynamics in electromagnetic fields. Physical Review A 84, 043434
2011
Later among the works it cites.
Müller, M., Hammerer, K., Zhou, Y. L., Roos, C. F., Zoller, P. 2011. Simulating open quantum systems: from many-body interactions to stabilizer pumping New J. Phys. 13, 085007
2011
Later among the works it cites.
2011
Later among the works it cites.
Polkovnikov, A., Sengupta, K., Silva, A., Vengalattore, M., 2011. Colloquium: Nonequilibrium dynamics of closed interacting quantum systems. Rev. Mod. Phys. 83, 863
2011
Later among the works it cites.
Rahmani, A., Chamon, C., 2011. Optimal control for unitary preparation of many-body states: application to Luttinger liquids Phys. Rev. Lett. 107
2011
Later among the works it cites.
Schaff, J. F., Song, X. L., Vignolo, P., Labeyrie, G., 2010. Fast optimal transition between two equilibrium states. Phys. Rev. A 82 033430; Phys. Rev. A 83, 059911(E) (2011)
2011
Later among the works it cites.
Sarandy, M. S., Duzzioni, E. I., Serra, R. M., 2011. Quantum computation in continuous time using dynamic invariants Phys. Lett. A 375, 3343
2011
Later among the works it cites.
Stefanatos, D., Schaettler, H., Li, J.-S., 2011. Minimum-time frictionless atom cooling in harmonic traps. SIAM J. Cont. Opt. 49, 2440
2011
Later among the works it cites.
Torosov, B. T., Guérin, S., Vitanov, N. V., 2011. High-Fidelity Adiabatic Passage by Composite Sequences of Chirped Pulses. Phys. Rev. Lett. 106, 233001
2011
Later among the works it cites.
Torrontegui, E., Ibáñez, S., Chen, X., Ruschhaupt, A., Guéry-Odelin, D., Muga, J. G. 2011. Fast atomic transport without vibrational heating. Phys. Rev. A 83, 013415
2011
Later among the works it cites.
Ban, Y., Chen, X., Sherman E. Y., Muga, J. G., 2012. Fast and robust spin manipulation in a quantum dot by electric fields. Phys. Rev. Lett. 109, 206602
2012
Closest in time.
Bason M. G., M. Viteau, N. Malossi, P. Huillery, E. Arimondo, D. Ciampini, R. Fazio, V. Giovannetti, R. Mannella, O. Morsch, 2012. High-fidelity quantum driving. Nat. Phys. 8, 147
2012
Closest in time.
Bowler, R., Gaebler, J., Lin, Y., Tan, T. R., Hanneke, D., Jost, J. D., Home, J. P., Leibfried, D., Wineland, D. J., 2012. Coherent Diabatic Ion Transport and Separation in a Multi-Zone Trap Array. Phys. Rev. Lett. 109, 080502
2012
Closest in time.
Chen, X., Muga, J. G., 2012. Engineering of fast population transfer in three-level systems. Phys. Rev. A. 86, 033405
2012
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Choi, S., Onofrio, R., Sundaram, B., 2012. Squeezing and robustness of frictionless cooling strategies. Phys. Rev. A 86, 043436
2012
Closest in time.
del Campo, A., Boshier, M. G., 2012. Shortcuts to adiabaticity in a time-dependent box. Sci. Rep. 2, 648
2012
Closest in time.
del Campo, A., Rams, M. M., Zurek, W. H., 2012. Assisted finite-rate adiabatic passage across a quantum critical point: Exact solution for the quantum Ising model. Phys. Rev. Lett. 109, 115703
2012
Closest in time.
Fasihi, M.-A., Wan, Y., Nakahara, M., 2012. Non-adiabatic Fast Control of Mixed States Based on Lewis-Riesenfeld Invariant. J. Phys. Soc. Jap. 81, 024007
2012
Closest in time.
Feldmann, T., Kosloff, R., 2012 Short time cycles of purely quantum refrigerators. Phys. Rev. E 85, 051114
2012
Closest in time.
2012
Closest in time.
2012
Closest in time.
Lau, H-K., James, D. F. V., 2012. Proposal for a scalable universal bosonic simulator using individually trapped ions. Phys. Rev. A 85, 062329
2012
Closest in time.
Leclerc, A., Viennot, D., Jolicard, G., 2012. The role of the geometric phases in adiabatic populations tracking for non-Hermitian Hamiltonians. J. Phys. A. 45, 415201
2012
Closest in time.
Levy, A., Kosloff, R., 2012. Quantum Absorption Refrigerator. Phys. Rev. Lett. 108, 070604
2012
Closest in time.
Lin, T.-Y., Hsiao, F.-C., Jhang, Y.-W., Hu, C., S.-Y. Tseng, 2012. Mode conversion using optical analogy of shortcut to adiabatic passage in engineered multimode waveguides. Opt. Exp. 20, 24085
2012
Closest in time.
2012
Closest in time.
Ozcakmakli, Z., Yuce, C., 2012. Shortcuts to adiabaticity for growing condensates. Phys. Scr. 86, 055001
2012
Closest in time.
Quan, H. T., Jarzynski C., 2012. Validity of nonequilibrium work relations for the rapidly expanding quantum piston, Phys. Rev. E 85, 031102
2012
Closest in time.
Ruschhaupt, A., Chen, X., Alonso, D., Muga, J. G., 2012. Optimally robust shortcuts to population inversion in two-level quantum systems. New J. Phys. 14, 093040
2012
Closest in time.
Stefanatos, D., Li, J.-S., 2012. Frictionless decompression in minimum time of Bose-Einstein condensates in the Thomas-Fermi regime. Phys. Rev. A 86, 063602
2012
Closest in time.
Tseng S.-Y., Chen, X., Engineering of fast mode conversion in multimode waveguides. Opt. Lett. 37, 5118
2012
Closest in time.
Uzdin, R., Gunther, U., Rahav, S., Moiseyev, N., 2012. Time-dependent Hamiltonians with 100% evolution speed efficiency. J. Phys. A: Math. Theor. 45, 415304
2012
Closest in time.
Yuce, C., 2012. Fast frictionless expansion of an optical lattice. Phys. Lett. A 376, 1717
2012
Closest in time.
Walther, A., Ziesel, F., Ruster, T., Dawkins, S. T., Ott, K., Hettrich, M., Singer, K., Schmidt-Kaler, F., Poschinger, U., 2012. Controlling Fast Transport of Cold Trapped Ions. Phys. Rev. Lett. 109, 080501
2012
Closest in time.