Off-diagonal long-range order in one-dimensional many-body problem

Details Off-diagonal long-range order in one-dimensional many-body problem Off-diagonal long-range order in one-dimensional many-body problem

1999-12-24

arxiv.org/abs/cond-mat/9912445v1

Phys. Lett. A267 (2000) 293-295

Physics

Condensed Matter

LaTeX2e, submitted to Phys. Lett. A

Scientific paper

10.1016/S0375-9601(00)00093-1

We prove that there is off-diagonal long-range order in the symmetrised version of the one-dimensional many-body problem presented by Jain and Khare (Phys. Lett. A262 (1999)35). This model is related to the short-range Dyson model employed to study intermediate statistics in systems like the Anderson model in three dimensions at the metal-insulator transition point and pseudointegrable billiards. To the best of our knowledge, this is the only example showing quantum phases and possibility of Bose-Einstein condensation in one-dimensional statistical mechanics.

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