Finite temperature theory of superfluid bosons in optical lattices
arXiv:0906.4606 · doi:10.1103/PhysRevA.80.033620
Abstract
A practical finite temperature theory is developed for the superfluid regime of a weakly interacting Bose gas in an optical lattice with additional harmonic confinement. We derive an extended Bose-Hubbard model that is valid for shallow lattices and when excited bands are occupied. Using the Hartree-Fock-Bogoliubov-Popov mean-field approach, and applying local density and coarse-grained envelope approximations, we arrive at a theory that can be numerically implemented accurately and efficiently. We present results for a three-dimensional system, characterizing the importance of the features of the extended Bose-Hubbard model and compare against other theoretical results and show an improved agreement with experimental data.
22 pages, 18 figures, reorganized appendices, moved figures, corrected typos
References in corpus (16)
- Many-Body Physics with Ultracold Gases
- Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
- Spatial quantum noise interferometry in expanding ultracold atom clouds
- Cold Bosons in Optical Lattices
- Quantum Monte Carlo simulations of confined bosonic atoms in optical lattices
- Interference pattern and visibility of a Mott insulator
- Observation of deviations from ideal gas thermodynamics in a trapped Bose-Einstein condensed gas
- Extended Bose Hubbard model of interacting bosonic atoms in optical lattices: from superfluidity to density waves
- Single-atom density of states of an optical lattice
- Successive phase transitions at finite temperatures of the supersolid in the three-dimensional extended Bose-Hubbard model
- Degenerate Fermi gas in a combined harmonic-lattice potential
- Bose-Einstein condensation in an optical lattice
- Characteristics of Bose-Einstein condensation in an optical lattice
- Signal of Bose condensation in an optical lattice at finite temperature
- Damping of Condensate Oscillation of a Trapped Bose Gas in a One-Dimensional Optical Lattice at Finite Temperatures
- Critical temperature of a Bose gas in an optical lattice
Cited by in corpus (7)
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- Critical temperature of a Bose gas in an optical lattice
- Efficiency for preforming molecules from mixtures of light Fermi and heavy Bose atoms in optical lattices: the strong-coupling-expansion method
- Geometric scale invariance as a route to macroscopic degeneracy: loading a toroidal trap with a Bose or Fermi gas
- Signatures of Bose-Einstein condensation in an optical lattice