Statistical mechanics of a Feshbach coupled Bose-Fermi gas in an optical lattice
arXiv:0810.2696 · doi:10.1103/PhysRevA.79.053601
Abstract
We consider an atomic Fermi gas confined in a uniform optical lattice potential, where the atoms can pair into molecules via a magnetic field controlled narrow Feshbach resonance. The phase diagram of the resulting atom-molecule mixture in chemical and thermal equilibrium is determined numerically in the absence of interactions under the constraint of particle conservation. In the limiting cases of vanishing or large lattice depth we derive simple analytical results for important thermodynamic quantities. One such quantity is the dissociation energy, defined as the detuning of the molecular energy spectrum with respect to the atomic one for which half of the atoms have been converted into dimers. Importantly we find that the dissociation energy has a non-monotonic dependence on lattice depth.
9 pages, 5 figures
References in corpus (23)
- Repulsively bound atom pairs in an optical lattice
- Resonantly-paired fermionic superfluids
- Evidence for Superfluidity of Ultracold Fermions in an Optical Lattice
- Thermodynamics of the BCS-BEC crossover
- Ultracold heteronuclear molecules in a 3D optical lattice
- Localization of bosonic atoms by fermionic impurities in a 3d optical lattice
- Molecules of Fermionic Atoms in an Optical Lattice
- Equation of state of a superfluid Fermi gas in the BCS-BEC crossover
- Nonequilibrium dynamics and thermodynamics of a degenerate Fermi gas across a Feshbach resonance
- Boson Mott insulators at finite temperatures
- Intrinsic Heating and Cooling in Adiabatic Processes for Bosons in Optical Lattices
- Temperature of a trapped unitary Fermi gas at finite entropy
- Thermodynamics of a trapped unitary Fermi gas
- Thermal equilibrium and efficient evaporation of an ultracold atom-molecule mixture
- Two-channel Feshbach physics in a structured continuum
- Do mixtures of bosonic and fermionic atoms adiabatically heat up in optical lattices?
- Atom-molecule Rabi oscillations in a Mott insulator
- Adiabatic cooling of Fermions in an optical lattice
- Degenerate Fermi gas in a combined harmonic-lattice potential
- Bose-Einstein condensation in an optical lattice
- Feshbach Molecules in a One-dimensional Optical Lattice
- Strongly Interacting Atoms and Molecules in a 3D Optical Lattice
- Adiabatic Phase Diagram of an Ultracold Atomic Fermi Gas with a Feshbach Resonance