Kilohertz-Driven Bose–Einstein Condensates in Optical Lattices
Tài liệu tham khảo
Albramowitz, M., & Stegun, I. A. (Eds.), (1965). Handbook of mathematical functions. New York: Dover, pp.
Alberti, 2009, Engineering the quantum transport of atomic wavefunctions over macroscopic distances, Nature Physics, 5, 547, 10.1038/nphys1310
Arlinghaus, 2010, Driven optical lattices as strong-field simulators, Physical Review A, 81, 063612, 10.1103/PhysRevA.81.063612
Arlinghaus, 2011, Generalized acceleration theorem for spatiotemporal Bloch waves, Physical Review B, 84, 054301, 10.1103/PhysRevB.84.054301
Arlinghaus, S., Langemeyer, M., & Holthaus, M. (2011). Dynamic localization in optical lattices. In S. Keshavamurthy, & P. Schlagheck (Eds.), Dynamical tunneling – Theory and experiment (pp. 289–310). Boca Raton, FL: Taylor and Francis/CRC Press.
Ben Dahan, 1996, Bloch oscillations of atoms in an optical potential, Physical Review Letters, 76, 4508, 10.1103/PhysRevLett.76.4508
Bloch, 2008, Many-body physics with ultracold gases, Reviews of Modern Physics, 80, 885, 10.1103/RevModPhys.80.885
Boers, 2007, Mobility edges in bichromatic optical lattices, Physical Review A, 75, 063404, 10.1103/PhysRevA.75.063404
Breuer, 1991, A semiclassical theory of quasienergies and Floquet wave functions, Annals of Physics, 211, 249, 10.1016/0003-4916(91)90206-N
Breuer, 2000, Quasistationary distributions of dissipative nonlinear quantum oscillators in strong periodic driving fields, Physical Review E, 61, 4883, 10.1103/PhysRevE.61.4883
Bunimovich, 1991, Diffusive energy growth in classical and quantum driven oscillators, Journal of Statistical Physics, 62, 793, 10.1007/BF01017984
Chen, 2011, Controlling correlated tunneling and superexchange interactions with AC-driven optical lattices, Physical Review Letters, 107, 210405, 10.1103/PhysRevLett.107.210405
Chu, 2004, Beyond the Floquet theorem: Generalized Floquet formalisms and quasienergy methods for atomic and molecular multiphoton processes in intense laser fields, Physics Reports, 390, 1, 10.1016/j.physrep.2003.10.001
Creffield, 2006, Tuning the Mott transition in a Bose–Einstein condensate by multiple photon absorption, Physical Review Letters, 96, 210403, 10.1103/PhysRevLett.96.210403
Drese, 1997, Exploring a metal–insulator transition with ultracold atoms in standing light waves?, Physical Review Letters, 78, 2932, 10.1103/PhysRevLett.78.2932
Dunlap, 1986, Dynamic localization of a charged particle moving under the influence of an electric field, Physical Review B, 34, 3625, 10.1103/PhysRevB.34.3625
Dziarmaga, 2010, Dynamics of a quantum phase transition and relaxation to a steady state, Advances in Physics, 59, 1063, 10.1080/00018732.2010.514702
Eckardt, 2010, Frustrated quantum antiferromagnetism with ultracold bosons in optical lattices, Europhysics Letters, 89, 10010, 10.1209/0295-5075/89/10010
Eckardt, 2007, AC-induced superfluidity, Europhysics Letters, 80, 50004, 10.1209/0295-5075/80/50004
Eckardt, 2008, Dressed matter waves, Journal of Physics: Conference Series, 99, 012007, 10.1088/1742-6596/99/1/012007
Eckardt, 2008, Avoided-level-crossing spectroscopy with dressed matter waves, Physical Review Letters, 101, 245302, 10.1103/PhysRevLett.101.245302
Eckardt, 2009, Exploring dynamic localization with a Bose–Einstein condensate, Physical Review A, 79, 013611, 10.1103/PhysRevA.79.013611
Eckardt, 2005, Analog of photon-assisted tunneling in a Bose–Einstein condensate, Physical Review Letters, 95, 200401, 10.1103/PhysRevLett.95.200401
Eckardt, 2005, Superfluid–insulator transition in a periodically driven optical lattice, Physical Review Letters, 95, 260404, 10.1103/PhysRevLett.95.260404
Einstein, A. (1924). Quantentheorie des einatomigen idealen Gases. Sitzungsberichte der Preussischen Akademie der Wissenschaften, XXII (pp. 261–267). Gesamtsitzung.
Einstein, A. (1925). Quantentheorie des einatomigen idealen Gases. Zweite Abhandlung. Sitzungsberichte der Preussischen Akademie der Wissenschaften, I. Sitzung der physikalisch-mathematischen Klasse (pp. 3–14).
Fainshtein, 1978, Some general properties of quasi-energetic spectra of quantum systems in classical monochromatic fields, Journal of Physics B – Atomic Molecular and Optical Physics, 11, 2561, 10.1088/0022-3700/11/14/020
Fisher, 1989, Boson localization and the superfluid–insulator transition, Physical Review B, 40, 546, 10.1103/PhysRevB.40.546
Floquet, 1883, Sur les équations différentielles linéaires à coefficients périodiques, Annales scientifiques de l’École Normale Supérieure, 12, 47, 10.24033/asens.220
Haller, 2010, Inducing transport in a dissipation-free lattice with super Bloch oscillations, Physical Review Letters, 104, 200403, 10.1103/PhysRevLett.104.200403
Holthaus, 1992, Collapse of minibands in far-infrared irradiated superlattices, Physical Review Letters, 69, 351, 10.1103/PhysRevLett.69.351
Houston, 1940, Acceleration of electrons in a crystal lattice, Physical Review, 57, 184, 10.1103/PhysRev.57.184
Howland, J.S. (1992a). Quantum stability. In Schrödinger operators: The quantum mechanical manybody problem. Lecture notes in physics Vol. 403 Springer-Verlag. New York:, pp. 100–122.
Howland, 1992, Stability of quantum oscillators, Journal of Physics A – Mathematical and General, 25, 5177, 10.1088/0305-4470/25/19/025
Ivanov, 2008, Coherent delocalization of atomic wave packets in driven lattice potentials, Physical Review Letters, 100, 043602, 10.1103/PhysRevLett.100.043602
Jaksch, 1998, Cold bosonic atoms in optical lattices, Physical Review Letters, 81, 3108, 10.1103/PhysRevLett.81.3108
Jaksch, 2005, The cold atom Hubbard toolbox, Annals of Physics, 315, 52, 10.1016/j.aop.2004.09.010
Ketzmerick, 2010, Statistical mechanics of Floquet systems with regular and chaotic states, Physical Review E, 82, 021114, 10.1103/PhysRevE.82.021114
Kierig, 2008, Single-particle tunneling in strongly driven double-well potentials, Physical Review Letters, 100, 190405, 10.1103/PhysRevLett.100.190405
Kohn, 2001, Periodic thermodynamics, Journal of Statistical Physics, 103, 417, 10.1023/A:1010327828445
Kuchment, 1993
Kudo, 2009, Control of bound-pair transport by periodic driving, Physical Review A, 80, 063409, 10.1103/PhysRevA.80.063409
Kudo, 2011, Theoretical analysis of super-Bloch oscillations, Physical Review A, 83, 053627, 10.1103/PhysRevA.83.053627
Kudo, K., & Monteiro, T. S. (2011b). Periodically-driven cold atoms: The role of the phase (10 pages). Available from: <arXiv:1008.2096v8>.
Lignier, 2007, Dynamical control of matter-wave tunneling in periodic potentials, Physical Review Letters, 99, 220403, 10.1103/PhysRevLett.99.220403
London, 1938, On the Bose–Einstein condensation, Physical Review, 54, 947, 10.1103/PhysRev.54.947
Madison, 1997, Quantum transport of ultracold atoms in an accelerating optical potential, Applied Physics B, 65, 693, 10.1007/s003400050335
Madison, 1998, Dynamical Bloch band suppression in an optical lattice, Physical Review Letters, 81, 5093, 10.1103/PhysRevLett.81.5093
Ma, 2011, Photon-assisted tunneling in a biased strongly correlated Bose gas, Physical Review Letters, 107, 095301, 10.1103/PhysRevLett.107.095301
Morsch, 2001, Bloch oscillations and mean-field effects of Bose–Einstein condensates in 1D optical lattices, Physical Review Letters, 87, 140402, 10.1103/PhysRevLett.87.140402
Morsch, 2006, Dynamics of Bose–Einstein condensates in optical lattices, Reviews of Modern Physics, 78, 179, 10.1103/RevModPhys.78.179
Niu, 1996, Atomic Landau–Zener tunneling and Wannier–Stark ladders in optical potentials, Physical Review Letters, 76, 4504, 10.1103/PhysRevLett.76.4504
Pathria, 1996
Peik, 1997, Bloch oscillations of atoms, adiabatic rapid passage, and monokinetic atomic beams, Physical Review A, 55, 2989, 10.1103/PhysRevA.55.2989
Poletti, 2011, Slow quench dynamics of periodically driven quantum gases, Physical Review A, 84, 013615, 10.1103/PhysRevA.84.013615
Polkovnikov, 2011, Nonequilibrium dynamics of closed interacting quantum systems, Reviews of Modern Physics, 83, 863, 10.1103/RevModPhys.83.863
Ritus, 1967, Shift and splitting of atomic energy levels by the field of an electromagnetic wave, Soviet Physics – Journal of Experimental and Theoretical Physics, 24, 1041
Sambe, 1973, Steady states and quasienergies of a quantum-mechanical system in an oscillating field, Physical Review A, 7, 2203, 10.1103/PhysRevA.7.2203
Schneider, 2009, Ab initio determination of Bose–Hubbard parameters for two ultracold atoms in an optical lattice using a three-well potential, Physical Review A, 80, 013404, 10.1103/PhysRevA.80.013404
Shirley, 1965, Solution of the Schrödinger equation with a Hamiltonian periodic in time, Physical Review, 138, B979, 10.1103/PhysRev.138.B979
Sias, 2008, Observation of photon-assisted tunneling in optical lattices, Physical Review Letters, 100, 040404, 10.1103/PhysRevLett.100.040404
Slater, 1952, A soluble problem in energy bands, Physical Review, 87, 807, 10.1103/PhysRev.87.807
Struck, 2011, Quantum simulation of frustrated classical magnetism in triangular optical lattices, Science, 333, 996, 10.1126/science.1207239
Tokuno, 2011, Spectroscopy for cold atom gases in periodically phase-modulated optical lattices, Physical Review Letters, 106, 205301, 10.1103/PhysRevLett.106.205301
Tsuji, 2011, Dynamical band flipping in fermionic lattice systems: An ac-field-driven change of the interaction from repulsive to attractive, Physical Review Letters, 106, 236401, 10.1103/PhysRevLett.106.236401
Zel’dovich, 1967, The quasienergy of a quantum-mechanical system subjected to a periodic action, Soviet Physics – Journal of Experimental and Theoretical Physics, 24, 1006
Zener, 1934, A theory of the electrical breakdown of solid dielectrics, Proceedings of the Royal Society of London Series A, 145, 523, 10.1098/rspa.1934.0116
Zenesini, 2009, Coherent control of dressed matter waves, Physical Review Letters, 102, 100403, 10.1103/PhysRevLett.102.100403
Zheng, 2004, Low-acceleration instability of a Bose–Einstein condensate in an optical lattice, Physical Review Letters, 93, 230401, 10.1103/PhysRevLett.93.230401
Zwerger, 2003, Mott–Hubbard transition of cold atoms in optical lattices, Journal of Optics B – Quantum and Semiclassical Optics, 5, S9, 10.1088/1464-4266/5/2/352
