Publication : t10/115
Statistical properties of the spectrum the extended Bose-Hubbard model
Kollath C. (Centre de Physique Théorique, CNRS, École Polytechnique, F-91128 Palaiseau Cedex, France)Roux G. (Laboratoire de Physique Théorique et Modèles Statistiques, Université Paris-Sud, UMR8626, F-91405 Orsay, France)
Biroli G. (CEA, IPhT (Institut de Physique Théorique), F-91191 Gif-sur-Yvette, France)
Läuchli A. (Max Planck Institut für Physik komplexer Systeme, D-01187 Dresden, Germany)
Abstract:Année de publication : 2010
Motivated by the role that spectral properties play for the dynamical evolution of a quantum many-body system, we investigate the level spacing statistic of the extended Bose-Hubbard model. In particular, we focus on the distribution of the ratio of adjacent level spacings, useful at large interaction, to distinguish between chaotic and non-chaotic regimes. After revisiting the bare Bose-Hubbard model, we study the effect of two different perturbations: next-nearest neighbor hopping and nearest-neighbor interaction. The system size dependence is investigated together with the effect of the proximity to integrable points or lines. Lastly, we discuss the consequences of a cutoff in the number of onsite bosons onto the level statistics.
Revue : J. Stat. Mech. P08011 (2010)
DOI : 10.1088/1742-5468/2010/08/P08011
Preprint : arXiv:1004.2203
Langue : Anglais
Fichier(s) à télécharger :
1742-5468_2010_08_P08011.pdf publi.pdf
