Stochastic mean-field theory: Method and application to the disordered Bose-Hubbard model at finite temperature and speckle disorder
- Institut fuer Theoretische Physik, Johann Wolfgang Goethe-Universitaet, D-60438 Frankfurt/Main (Germany)
- Department of Physics, Princeton University, Princeton, New Jersey 08544 (United States)
We discuss the stochastic mean-field theory (SMFT) method, which is a new approach for describing disordered Bose systems in the thermodynamic limit including localization and dimensional effects. We explicate the method in detail and apply it to the disordered Bose-Hubbard model at finite temperature, with on-site box disorder, as well as experimentally relevant unbounded speckle disorder. We find that disorder-induced condensation and re-entrant behavior at constant filling are only possible at low temperatures, beyond the reach of current experiments [M. Pasienski, D. McKay, M. White, and B. DeMarco, e-print arXiv:0908.1182]. Including off-diagonal hopping disorder as well, we investigate its effect on the phase diagram in addition to pure on-site disorder. To make connection to present experiments on a quantitative level, we also combine SMFT with an LDA approach and obtain the condensate fraction in the presence of an external trapping potential.
- OSTI ID:
- 21439535
- Journal Information:
- Physical Review. A, Vol. 81, Issue 6; Other Information: DOI: 10.1103/PhysRevA.81.063643; (c) 2010 The American Physical Society; ISSN 1050-2947
- Country of Publication:
- United States
- Language:
- English
Similar Records
Application of a multisite mean-field theory to the disordered Bose-Hubbard model
Strong-coupling expansion for the two-species Bose-Hubbard model