Spectral analysis of two-dimensional Bose-Hubbard models

• Verfasst von: Fischer, David [VerfasserIn]
• Verfasst von: Hoffmann, Darius [VerfasserIn]
• Verfasst von: Wimberger, Sandro [VerfasserIn]
• Titel: Spectral analysis of two-dimensional Bose-Hubbard models
• Verf.angabe: David Fischer, Darius Hoffmann, and Sandro Wimberger
• E-Jahr: 2016
• Jahr: 22 April 2016
• Umfang: 6 S.
• Fussnoten: Gesehen am 19.05.2020
• Titel Quelle: Enthalten in: Physical review
• Ort Quelle: Woodbury, NY : Inst., 2016
• Jahr Quelle: 2016
• Band/Heft Quelle: 93(2016,4) Artikel-Nummer 043620, 6 Seiten
• ISSN Quelle: 2469-9934
• DOI: doi:10.1103/PhysRevA.93.043620
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1698514654

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.