Phases of Bosons or Fermions in confined optical lattices
arXiv:cond-mat/0603334 · doi:10.1103/PhysRevA.74.033608
Abstract
Phases of Bose or Fermi atoms in optical lattices confined in harmonic traps are studied within the Thomas-Fermi approximation. Critical radii and particle number for onset of Mott insulator states are calculated and phase diagrams shown in 1D, and estimated for 2 and 3D. Methods to observe these and novel phases such as d-wave superconductivity is discussed. Specifically the collective modes are calculated.
arXiv commentRevised and extended. To appear in PRA
References in corpus (34)
- Cold bosonic atoms in optical lattices
- Collapse and Revival of the Matter Wave Field of a Bose-Einstein Condensate
- Transition from a strongly interacting 1D superfluid to a Mott insulator
- Vortices and Superfluidity in a Strongly Interacting Fermi Gas
- Fermionic Superfluidity with Imbalanced Spin Populations and the Quantum Phase Transition to the Normal State
- Observation of the Pairing Gap in a Strongly Interacting Fermi Gas
- Evidence for Superfluidity in a Resonantly Interacting Fermi Gas
- Collective excitations of a degenerate gas at the BEC-BCS crossover
- Fractional quantum Hall states of atoms in optical Lattices
- High-temperature superfluidity of fermionic atoms in optical lattices
- Confinement induced molecules in a 1D Fermi gas
- Phases of the one-dimensional Bose-Hubbard model
- 1/2-Anyons in small atomic Bose-Einstein condensates
- Quantum Phases of the Extended Bose-Hubbard Hamiltonian: Possibility of a Supersolid State of Cold Atoms in Optical Lattices
- Density-functionals not based on the electron gas: Local-density approximation for a Luttinger liquid
- Long-lived Feshbach molecules in a 3D optical lattice
- Local quantum criticality in confined fermions on optical lattices
- Multi-flavor bosonic Hubbard models in the first excited Bloch band of an optical lattice
- Collective modes of trapped gases at the BEC-BCS crossover
- Collective modes and ballistic expansion of a Fermi gas in the BCS-BEC crossover
- Interference pattern and visibility of a Mott insulator
- Spatial correlations of trapped 1d bosons in an optical lattice
- Probing number squeezing of ultracold atoms across the superfluid-Mott insulator transition
- Quantum Monte Carlo study of confined fermions in one-dimensional optical lattices
- Bethe-Ansatz density-functional theory of ultracold repulsive fermions in one-dimensional optical lattices
- Effective Hamiltonian for fermions in an optical lattice across Feshbach resonance
- Structure and stability of Mott-insulator shells of bosons trapped in an optical lattice
- Engineering Superfluidity in Bose-Fermi Mixtures of Ultracold Atoms
- Signature of Mott-insulator transition with ultra-cold fermions in a one-dimensional optical lattice
- Phase diagram of harmonically confined one-dimensional fermions with attractive and repulsive interactions
- Phase Transitions in Rotating Neutron Stars
- Numerical simulations of strongly correlated fermions confined in 1D optical lattices
- Interacting Fermi Gases in Disordered One-Dimensional Lattices
- Extended Bose-Hubbard model with incompressible states at fractional numbers
Cited by in corpus (10)
- State diagrams for harmonically trapped bosons in optical lattices
- Lattice density functional theory at finite temperature with strongly density-dependent exchange-correlation potentials
- Ground-state properties of the one-dimensional attractive Hubbard model with confinement: a comparative study
- Analytical and numerical study of trapped strongly correlated bosons in two- and three-dimensional lattices
- Hubbard model calculations of phase separation in optical lattices
- Phase separation in optical lattices in a spin-dependent external potential
- Compressibility and entropy of cold fermions in one dimensional optical lattices
- The demixing of the two-component fermions in optical lattices under a spin-dependent external potential
- Double occupancies in confined attractive fermions on optical lattices
- Tunneling of a few strongly repulsive hard-sphere bosons in an optical lattice with tight external harmonic confinement: A quantum Monte Carlo investigation in continuous space