Spectral analysis of two-dimensional Bose-Hubbard models
Quantum Gases
2016-04-26 v1 Chaotic Dynamics
Abstract
One-dimensional Bose-Hubbard models are well known to obey a transition from regular to quantum-chaotic spectral statistics. We are extending this concept to relatively simple two-dimensional many-body models. Also in two dimensions a transition from regular to chaotic spectral statistics is found and discussed. In particular, we analyze the dependence of the spectral properties on the bond number of the two-dimensional lattices and the applied boundary conditions. For maximal connectivity, the systems behave most regularly in agreement with the applicability of mean-field approaches in the limit of many nearest-neighbor couplings at each site.
Keywords
Cite
@article{arxiv.1604.05664,
title = {Spectral analysis of two-dimensional Bose-Hubbard models},
author = {David Fischer and Darius Hoffmann and Sandro Wimberger},
journal= {arXiv preprint arXiv:1604.05664},
year = {2016}
}
Comments
6 pages, 6 figures