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arXiv 2002-04-02 0 views

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

van Zyl, Brandon P.

Original · EN

We 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 uncondensed phase for all T ≥ 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 is not the BEC state.

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