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

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.

LaTeX2e, submitted to Phys. Lett. A

References in corpus (2)

• An exactly solvable many-body problem in one dimension
• A class of N-body problems with nearest- and next-to-nearest neighbour interactions

Cited by in corpus (5)

• A class of N-body problems with nearest- and next-to-nearest neighbour interactions
• Strongly interacting mesoscopic systems of anyons in one dimension
• Supersymmetric Many-particle Quantum Systems with Inverse-square Interactions
• Truncated Calogero-Sutherland Models on a Circle
• Affine Toda-Sutherland Systems