6533b861fe1ef96bd12c4e69
RESEARCH PRODUCT
Spectral analysis of two-dimensional Bose-Hubbard models
Darius HoffmannSandro WimbergerSandro WimbergerSandro WimbergerDavid Fischersubject
PhysicsSpectral statisticsSpectral propertiesChaoticFOS: Physical sciencesNonlinear Sciences - Chaotic Dynamics01 natural sciences010305 fluids & plasmasQuantum Gases (cond-mat.quant-gas)Simple (abstract algebra)0103 physical sciencesSpectral analysisBond numberLimit (mathematics)Statistical physicsBoundary value problemChaotic Dynamics (nlin.CD)Condensed Matter - Quantum Gases010306 general physicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2016-04-22 | Physical Review A |