Dynamics and thermodynamics of the Bose-Hubbard model

1998/07/02 by N. Elstner, H. Monien · 2 citations
Mathematics · Physics and Astronomy · #Bose–Hubbard model #Cold Atom Physics and Bose-Einstein Condensates #Compressibility #Condensed matter physics #Coupling (piping) #Dimension (graph theory) #Hubbard model #Materials science #Mathematics #Mott insulator #Phase (matter) #Phase boundary #Phase transition #Physics #Physics of Superconductivity and Magnetism #Quantum mechanics #Quantum, superfluid, helium dynamics #Reentrancy #Statistical physics #Superconductivity #Thermodynamics #Work (physics) #cond-mat

paper · pdf · doi:10.1103/physrevb.59.12184

RevTex, 4 pages, 4 figures (eps format)

arxiv created 1998/07/02 · openalex publication_date 1999/05/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We report results from a systematic analytic strong-coupling expansion of the Bose-Hubbard model in one- and two-spatial dimensions. We obtain numerically exact results for the dispersion of single-particle and single-hole excitations in the Mott insulator. The boundary of the Mott phase can be determined with previously unattainable accuracy in one and two dimensions. In one dimension, we observe the occurrence of reentrant behavior from the compressible to the insulating phase in a region close to the critical point, which was conjectured in earlier work. Our calculation can be used as a benchmark for the development of numerical techniques for strongly correlated systems.

Citations

• Series Expansions for Excited States of Quantum Lattice Models
• The critical properties of the two-dimensional xy model
• Ordering, metastability and phase transitions in two-dimensional systems
• Phase Transitions and Critical Phenomena

Cited by

• Quantum phase diagram of bosons in optical lattices
• Direct Observation of a Sub-Poissonian Number Distribution of Atoms in an Optical Lattice