Free expansion of impenetrable bosons on one-dimensional optical lattices

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dc.creatorRigol, Marcos
dc.creatorMuramatsu, Alejandro
dc.date2005-07-14
dc.date2005-10-04
dc.date.accessioned2026-07-07T06:21:03Z
dc.date.available2026-07-07T06:21:03Z
dc.descriptionWe review recent exact results for the free expansion of impenetrable bosons on one-dimensional lattices, after switching off a confining potential. When the system is initially in a superfluid state, far from the regime in which the Mott-insulator appears in the middle of the trap, the momentum distribution of the expanding bosons rapidly approaches the momentum distribution of noninteracting fermions. Remarkably, no loss in coherence is observed in the system as reflected by a large occupation of the lowest eigenstate of the one-particle density matrix. In the opposite limit, when the initial system is a pure Mott insulator with one particle per lattice site, the expansion leads to the emergence of quasicondensates at finite momentum. In this case, one-particle correlations like the ones shown to be universal in the equilibrium case develop in the system. We show that the out-of-equilibrium behavior of the Shannon information entropy in momentum space, and its contrast with the one of noninteracting fermions, allows to differentiate the two different regimes of interest. It also helps in understanding the crossover between them.
dc.description21 pages, 14 figures, invited brief review
dc.identifierhttps://arxiv.org/abs/cond-mat/0507351
dc.identifierhttp://arxiv.org/abs/cond-mat/0507351
dc.identifierMod. Phys. Lett. B 19, 861 (2005)
dc.identifierdoi:10.1142/S0217984905008876
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/95479
dc.subjectStatistical Mechanics
dc.subjectOther Condensed Matter
dc.titleFree expansion of impenetrable bosons on one-dimensional optical lattices
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