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

G. Auberson·S. R. Jain·A. Khare
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Abstract

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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G. Auberson, S. R. Jain, A. Khare. 1999-12-24. Off-diagonal long-range order in one-dimensional many-body problem. https://doi.org/10.1016/s0375-9601(00)00093-1

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