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.

Spectral analysis of two-dimensional Bose-Hubbard models / Fischer, David; Hoffmann, Darius; Wimberger, Sandro Marcel. - In: PHYSICAL REVIEW A. - ISSN 2469-9926. - 93:4(2016), p. 043620. [10.1103/PhysRevA.93.043620]

Spectral analysis of two-dimensional Bose-Hubbard models

WIMBERGER, Sandro Marcel
2016-01-01

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.
2016
Spectral analysis of two-dimensional Bose-Hubbard models / Fischer, David; Hoffmann, Darius; Wimberger, Sandro Marcel. - In: PHYSICAL REVIEW A. - ISSN 2469-9926. - 93:4(2016), p. 043620. [10.1103/PhysRevA.93.043620]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11381/2807987
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