Off-diagonal long-range order in a harmonically confined two-dimensional Bose gas

dc.creatorvan Zyl, Brandon P.
dc.date2002-04-02
dc.date2002-04-05
dc.date.accessioned2026-07-07T02:44:53Z
dc.date.available2026-07-07T02:44:53Z
dc.descriptionWe investigate the presence of off-diagonal long-range order in a harmonically confined two-dimensional Bose gas. In the noninteracting case, an analytical calculation of the the finite-temperature one-particle density martix provides an exact description of the spatial correlations known to be associated with the existence of a Bose-Einstein condensate below the transition temperature $T^{(0)}_c$. We treat the effects of repulsive interactions within the semiclassical Hartree-Fock-Bogliubov approximation and find that even though the system remains in the same {\em uncondensed phase} for all $T \geq 0$, there appears to be a revival of off-diagonal long-range order for temperatures $T < T^{(0)}_c$. We suggest that this reentrant order is related to a phase transition in the system which {\em is not} the BEC state.
dc.descriptionfigures embedded in text, typos corrected
dc.identifierhttps://arxiv.org/abs/cond-mat/0204060
dc.identifierhttp://arxiv.org/abs/cond-mat/0204060
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/19114
dc.subjectMesoscale and Nanoscale Physics
dc.titleOff-diagonal long-range order in a harmonically confined two-dimensional Bose gas
dc.typetext

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