Quantum Monte Carlo study of confined fermions in one-dimensional optical lattices
arXiv:cond-mat/0309670 · doi:10.1103/PhysRevA.69.053612
Abstract
Using quantum Monte Carlo (QMC) simulations we study the ground-state properties of the one-dimensional fermionic Hubbard model in traps with an underlying lattice. Since due to the confining potential the density is space dependent, Mott-insulating domains always coexist with metallic regions, such that global quantities are not appropriate to describe the system. We define a local compressibility that characterizes the Mott-insulating regions and analyze other local quantities. It is shown that the momentum distribution function, a quantity that is commonly considered in experiments, fails in giving a clear signal of the Mott-insulator transition. Furthermore, we analyze a mean-field approach to these systems and compare it with the numerically exact QMC results. Finally, we determine a generic form for the phase diagram that allows us to predict the phases to be observed in the experiments.
arXiv commentRevTex file, 13 pages, 19 figures, published version
References in corpus (14)
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Theory of Bose-Einstein condensation in trapped gases
- Cold bosonic atoms in optical lattices
- Collapse and Revival of the Matter Wave Field of a Bose-Einstein Condensate
- Observation of a Strongly-Interacting Degenerate Fermi Gas of Atoms
- A quasi-pure Bose-Einstein condensate immersed in a Fermi sea
- Two-species mixture of quantum degenerate Bose and Fermi gases
- Fermi-Bose quantum degenerate ^40 K - ^87 Rb mixture with attractive interaction
- Mott Domains of Bosons Confined on Optical Lattices
- All-Optical Production of a Degenerate Fermi Gas
- Trapped Fermi gases
- Local quantum criticality in confined fermions on optical lattices
- Revealing Superfluid--Mott-Insulator Transition in an Optical Lattice
- Exact particle and kinetic energy densities for one-dimensional confined gases of non-interacting fermions
Cited by in corpus (60)
- Fermionic atoms in a 3D optical lattice: Observing Fermi-surfaces, dynamics and interactions
- An SU(N) Mott insulator of an atomic Fermi gas realized by large-spin Pomeranchuk cooling
- Realization of SU(2)*SU(6) Fermi System
- Molecules of Fermionic Atoms in an Optical Lattice
- Antiferromagnetic Order of Strongly Interacting Fermions in a Trap: Real-Space Dynamical Mean-Field Analysis
- Bosons in one-dimensional incommensurate superlattices
- Ground-state properties of hard-core bosons confined on one-dimensional optical lattices
- Quantum distillation: dynamical generation of low-entropy states of strongly correlated fermions in an optical lattice
- Bethe-Ansatz density-functional theory of ultracold repulsive fermions in one-dimensional optical lattices
- State diagrams for harmonically trapped bosons in optical lattices
- The Stochastic Green Function (SGF) algorithm
- Entanglement in spatially inhomogeneous many-fermion systems
- Confinement control by optical lattices
- Luther-Emery Phase and Atomic-Density Waves in a Trapped Fermion Gas
- Phase separation of trapped spin-imbalanced Fermi gases in one-dimensional optical lattices
- Thermometry of Fermionic Atoms in an Optical Lattice
- Cold Attractive Spin Polarized Fermi Lattice Gases and the Doped Positive U Hubbard Model
- Entanglement entropy and entanglement witnesses in models of strongly interacting low-dimensional fermions
- Local density approximation for confined bosons in an optical lattice
- Numerical simulations of strongly correlated fermions confined in 1D optical lattices
- Expansion velocity of a one-dimensional, two-component Fermi gas during the sudden expansion in the ballistic regime
- Degenerate Fermi gas in a combined harmonic-lattice potential
- Supersolids in confined fermions on one-dimensional optical lattices
- Magnetic and superfluid phases of confined fermions in two-dimensional optical lattices
- Canonical Trajectories and Critical Coupling of the Bose-Hubbard Hamiltonian in a Harmonic Trap
- Dynamical self-stabilization of the Mott insulator: Time evolution of the density and entanglement entropy of out-of-equilibrium cold fermion gases
- Quantum Monte Carlo study of the visibility of one-dimensional Bose-Fermi mixtures
- Ground-state properties of the one-dimensional attractive Hubbard model with confinement: a comparative study
- 2kF-Friedel to 4kF-Wigner oscillations in one-dimensional Fermi gases under confinement
- Many-body quantum dynamics of initially trapped systems due to a Stark potential --- thermalization vs. Bloch oscillations
- Density profile of interacting Fermions in a one-dimensional optical trap
- Comment on "Novel Superfluidity in a Trapped Gas of Fermi Atoms with Repulsive Interaction Loaded on an Optical Lattice"
- Analytical and numerical study of trapped strongly correlated bosons in two- and three-dimensional lattices
- Magnetism of Cold Fermionic Atoms on p-Band of an Optical Lattice
- Information measures for a local quantum phase transition: Lattice fermions in a one-dimensional harmonic trap
- Resonant Feshbach scattering of fermions in one-dimensional optical lattices
- Fermionic atoms trapped in one-dimensional optical superlattice with harmonic confinement
- Mesoscopic Effects in Quantum Phases of Ultracold Quantum Gases in Optical Lattices
- Interacting Fermi Gases in Disordered One-Dimensional Lattices
- Variational Monte Carlo analysis of the Hubbard model with a confining potential: one-dimensional fermionic optical lattice systems
- Time of flight observables and the formation of Mott domains of fermions and bosons on optical lattices
- Stripe Formation in Fermionic Atoms on 2-D Optical Lattice inside a Box Trap: DMRG Studies for Repulsive Hubbard Model with Open Boundary Condition
- Phase separation in optical lattices in a spin-dependent external potential
- Ground-state properties of fermionic mixtures with mass imbalance in optical lattices
- Phases of Bosons or Fermions in confined optical lattices
- Mott Phase in Polarized Two-component Atomic Fermi Lattice Gas:A Playground for S=1/2 Heisenberg Model in Magnetic Field
- Exploring the grand-canonical phase diagram of interacting bosons in optical lattices by trap squeezing
- Ramping fermions in optical lattices across a Feshbach resonance
- Fulde-Ferrell-Larkin-Ovchinnikov pairing states of a polarized dipolar Fermi gas trapped in a one-dimensional optical lattice
- Singlet pairing and superconductivity in t-J ladders with Mott insulating stripes
- Size and shape of Mott regions for fermionic atoms in a two-dimensional optical lattice
- Information measures for a local quantum phase transition: Lattice bosons in a one-dimensional harmonic trap
- Polarization Plateau in Atomic Fermi Gas Loaded on Triangular Optical Lattice
- The demixing of the two-component fermions in optical lattices under a spin-dependent external potential
- Spin liquid state in an inhomogeneous periodic Anderson model
- Spin-orbit coupled repulsive Fermi atoms in a one-dimensional optical lattice
- Double occupancies in confined attractive fermions on optical lattices
- Exploring phonon-like interactions in one-dimensional Bose-Fermi mixtures
- 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
- Strong Boundary and Trap Potential Effects on Emergent Physics in Ultra-Cold Fermionic Gases