Off-diagonal long-range order in one-dimensional many-body problem
凝聚态物理
2019-08-17 v1
摘要
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.
引用
@article{arxiv.cond-mat/9912445,
title = {Off-diagonal long-range order in one-dimensional many-body problem},
author = {G. Auberson and S. R. Jain and A. Khare},
journal= {arXiv preprint arXiv:cond-mat/9912445},
year = {2019}
}
备注
LaTeX2e, submitted to Phys. Lett. A