Exact dynamics of a one dimensional Bose gas in a periodic time-dependent harmonic trap.
作者： Stefano Scopa , Jéremie Unterberger , Dragi Karevski
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摘要: We study the unitary dynamics of a one-dimensional gas hard-core bosons trapped into harmonic potential which varies periodically in time with frequency $\omega(t)$. Such periodic systems can be classified orbits different monodromies corresponding to two physical situations, namely case bosonic cloud remains stable during time-evolution and where it turns out unstable. In present work we derive large particle number limit exact results for stroboscopic evolution energy densities both situations.
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sci-hub.se 参考文章(69)
Claude Roger, Jérémie Unterberger, The Schrödinger-Virasoro algebra. Mathematical structure and dynamical Schrödinger symmetries. Springer. ,(2012)
G. Da Prato, J. Zabczyk, Ergodicity for infinite dimensional systems Cambridge University Press. ,(1996) , 10.1017/CBO9780511662829
Anatoli Polkovnikov, Krishnendu Sengupta, Alessandro Silva, Mukund Vengalattore, Colloquium: Nonequilibrium dynamics of closed interacting quantum systems Reviews of Modern Physics. ,vol. 83, pp. 863- 883 ,(2011) , 10.1103/REVMODPHYS.83.863
Harald Niederreiter, Lauwerens Kuipers, Uniform Distribution of Sequences ,(2006)
P. Jordan, E. Wigner, Über das Paulische Äquivalenzverbot European Physical Journal. ,vol. 47, pp. 631- 651 ,(1928) , 10.1007/BF01331938
Massimo Campostrini, Ettore Vicari, Equilibrium and off-equilibrium trap-size scaling in one-dimensional ultracold bosonic gases Physical Review A. ,vol. 82, pp. 063636- ,(2010) , 10.1103/PHYSREVA.82.063636
Martin Eckstein, Marcus Kollar, Philipp Werner, Thermalization after an interaction quench in the Hubbard model. Physical Review Letters. ,vol. 103, pp. 056403- ,(2009) , 10.1103/PHYSREVLETT.103.056403
Elliott H. Lieb, Exact Analysis of an Interacting Bose Gas. II. The Excitation Spectrum Physical Review. ,vol. 130, pp. 1616- 1624 ,(1963) , 10.1103/PHYSREV.130.1616
Matthew P. A. Fisher, Peter B. Weichman, G. Grinstein, Daniel S. Fisher, Boson localization and the superfluid-insulator transition. Physical Review B. ,vol. 40, pp. 546- 570 ,(1989) , 10.1103/PHYSREVB.40.546
Marcos Rigol, Vanja Dunjko, Vladimir Yurovsky, Maxim Olshanii, Relaxation in a completely integrable many-body quantum system: an ab initio study of the dynamics of the highly excited states of 1D lattice hard-core bosons. Physical Review Letters. ,vol. 98, pp. 050405- 050405 ,(2007) , 10.1103/PHYSREVLETT.98.050405