Double occupancies in confined attractive fermions on optical lattices

Abstract

We perform a numerical study of a one-dimensional Fermion-Hubbard model in harmonic traps within the Thomas-Fermi approximation based on the exact Bethe-ansatz solution. The $\rho -U/t$ phase diagram is shown for the systems of attractive interactions ($\rho$ is the characteristic density and $U/t$ the interaction strength scaled in units of the hopping parameter.). We study the double occupancy, the local central density and their derivatives. Their roles are discussed in details in detecting the composite phases induced by the trapping potential.

arXiv comment4 pages, 4 figures, submitted

References in corpus (29)

• Many-Body Physics with Ultracold Gases
• Cold bosonic atoms in optical lattices
• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Theory of ultracold Fermi gases
• Observation of resonance condensation of fermionic atom pairs
• A Mott insulator of fermionic atoms in an optical lattice
• Metallic and Insulating Phases of Repulsively Interacting Fermions in a 3D Optical Lattice
• High-temperature superfluidity of fermionic atoms in optical lattices
• Confinement induced molecules in a 1D Fermi gas
• Local quantum criticality in confined fermions on optical lattices
• Exact quantum Monte Carlo study of one dimensional trapped fermions with attractive contact interactions
• Bethe-Ansatz density-functional theory of ultracold repulsive fermions in one-dimensional optical lattices
• Quantum Monte Carlo study of confined fermions in one-dimensional optical lattices
• Interacting fermions in quasi-one-dimensional harmonic traps
• Modulation spectroscopy with ultracold fermions in an optical lattice
• Discerning Incompressible and Compressible Phases of Cold Atoms in Optical Lattices
• Signature of Mott-insulator transition with ultra-cold fermions in a one-dimensional optical lattice
• Trapping and cooling fermionic atoms into the Mott and Néel states
• Luther-Emery Phase and Atomic-Density Waves in a Trapped Fermion Gas
• Phase diagram of harmonically confined one-dimensional fermions with attractive and repulsive interactions
• Numerical simulations of strongly correlated fermions confined in 1D optical lattices
• Comparison of Calculations for the Hubbard model obtained with Quantum-Monte-Carlo, exact and stochastic Diagonalization
• Commensurability effects for fermionic atoms trapped in 1D optical lattices
• Correlation Effects on Atom Density Profiles of 1-D and 2-D Polarized Atomic-Fermi-Gas Loaded on Optical Lattice
• Effects of disorder on atomic density waves and spin-singlet dimers in one-dimensional optical lattices
• Phases of Bosons or Fermions in confined optical lattices
• Superfluidity of fermions with repulsive on-site interaction in an anisotropic optical lattice near a Feshbach resonance
• Magnetic phases of one-dimensional lattices with 2 to 4 fermions per site
• Magnetism of quantum dot clusters: A Hubbard model study

Cited by in corpus (2)

• Compressibility and entropy of cold fermions in one dimensional optical lattices
• Boson Core Compressibility