Population imbalanced fermions in harmonically trapped optical lattices
arXiv:0802.3945 · doi:10.1103/PhysRevA.78.011603
Abstract
The attractive Fermi-Hubbard Hamiltonian is solved via the Bogoliubov-de Gennes formalism to analyze the ground state phases of population imbalanced fermion mixtures in harmonically trapped two-dimensional optical lattices. In the low density limit the superfluid order parameter modulates in the radial direction towards the trap edges to accommodate the unpaired fermions that are pushed away from the trap center with a single peak in their density. However in the high density limit while the order parameter modulates in the radial direction towards the trap center for low imbalance, it also modulates towards the trap edges with increasing imbalance until the superfluid to normal phase transition occurs beyond a critical imbalance. This leads to a single peak in the density of unpaired fermions for low and high imbalance but leads to double peaks for intermediate imbalance.
4 pages with 4 figures, accepted to appear in PRA
References in corpus (17)
- Collective excitations of a degenerate gas at the BEC-BCS crossover
- Observation of Phase Separation in a Strongly-Interacting Imbalanced Fermi Gas
- Molecular Probe of Pairing in the BEC-BCS Crossover
- Evidence for Superfluidity of Ultracold Fermions in an Optical Lattice
- Molecules of Fermionic Atoms in an Optical Lattice
- Deformation of a Trapped Fermi Gas with Unequal Spin Populations
- Phase diagram of a strongly interacting polarized Fermi gas in one dimension
- Tuning of heteronuclear interactions in a quantum-degenerate Fermi-Bose mixture
- Density-Matrix Renormalization Group Study of Trapped Imbalanced Fermi Condensates
- Exact Numerical Study of Pair Formation with Imbalanced Fermion Populations
- Finite temperature phase diagram of a polarized Fermi gas in an optical lattice
- FFLO state in 1, 2, and 3 dimensional optical lattices combined with a non-uniform background potential
- Mean field thermodynamics of a spin-polarized spherically trapped Fermi gas at unitarity
- Imbalanced Superfluid Phase of a Trapped Fermi Gas in the BCS-BEC Crossover Regime
- Superfluid and insulating phases of fermion mixtures in optical lattices
- Non-BCS superfluidity in trapped ultracold Fermi gases
- Quantum phases of Fermi-Fermi mixtures in optical lattices