Mixtures of Bosonic and Fermionic Atoms in Optical Lattices

Abstract

We discuss the theory of mixtures of Bosonic and Fermionic atoms in periodic potentials at zero temperature. We derive a general Bose--Fermi Hubbard Hamiltonian in a one--dimensional optical lattice with a superimposed harmonic trapping potential. We study the conditions for linear stability of the mixture and derive a mean field criterion for the onset of a Bosonic superfluid transition. We investigate the ground state properties of the mixture in the Gutzwiller formulation of mean field theory, and present numerical studies of finite systems. The Bosonic and Fermionic density distributions and the onset of quantum phase transitions to demixing and to a Bosonic Mott--insulator are studied as a function of the lattice potential strength. The existence is predicted of a disordered phase for mixtures loaded in very deep lattices. Such a disordered phase possessing many degenerate or quasi--degenerate ground states is related to a breaking of the mirror symmetry in the lattice.

11 pages, 8 figures; added discussions; conclusions and references expanded

References in corpus (23)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Cold bosonic atoms in optical lattices
• Entanglement in a simple quantum phase transition
• Entanglement of atoms via cold controlled collisions
• Exploring phase coherence in a 2D lattice of Bose-Einstein condensates
• Quantum phases in an optical lattice
• High-temperature superfluidity of fermionic atoms in optical lattices
• Entanglement Properties of the Harmonic Chain
• Mott Domains of Bosons Confined on Optical Lattices
• Zero-temperature phase diagram of binary boson-fermion mixtures
• Phase diagram of the bose Hubbard model
• Spin-charge separation in ultra-cold quantum gases
• Commensurate-incommensurate transition of cold atoms in an optical lattice
• Particle number fractionization of an atomic Fermi-Dirac gas in an optical lattice
• Entanglement purification for Quantum Computation
• Structure and stability of trapped atomic boson-fermion mixtures
• Ground-state properties of a dilute Bose-Fermi mixture
• Quantum Computing with Neutral Atoms in an Optical Lattice
• Quantum phase transition in a multi-component Bose-Einstein condensate in optical lattices
• Quantum field theory of dilute homogeneous Bose-Fermi-mixtures at zero temperature: general formalismand beyond mean-field corrections
• From Cooper pairs to Luttinger liquids with bosonic atoms in optical lattices
• Quantum computation with unknown parameters
• Ground-state properties of trapped Bose-Fermi mixtures: role of exchange-correlation

Cited by in corpus (127)

• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Theory of ultracold Fermi gases
• One dimensional Bosons: From Condensed Matter Systems to Ultracold Gases
• Quantum phase transitions of light
• Non-standard Hubbard models in optical lattices: a review
• Localization of bosonic atoms by fermionic impurities in a 3d optical lattice
• Atomic Bose-Fermi mixtures in an optical lattice
• Instabilities in binary mixtures of one-dimensional quantum degenerate gases
• Role of interactions in 87Rb-40K Bose-Fermi mixtures in a 3d optical lattice
• Interaction-driven Dynamics of 40K / 87Rb Fermi-Bose Gas Mixtures in the Large Particle Number Limit
• Control of the interaction in a Fermi-Bose mixture
• Matrix product ansatz for Fermi fields in one dimension
• Cooling and thermometry of atomic Fermi gases
• Supersolid Bose-Fermi Mixtures in Optical Lattices
• Phase diagram of Bose-Fermi mixtures in one-dimensional optical lattices
• Insulating Behavior of a Trapped Ideal Fermi Gas
• Quantum phases of atomic boson-fermion mixtures in optical lattices
• Atomic Fermi-Bose mixtures in inhomogeneous and random lattices: From Fermi glass to quantum spin glass and quantum percolation
• Coherent Interaction of a Single Fermion with a Small Bosonic Field
• Optical Lattice Hamiltonians for Relativistic Quantum Electrodynamics
• Mean field dynamics of superfluid-insulator phase transition in a gas of ultra cold atoms
• Extended Bose Hubbard model of interacting bosonic atoms in optical lattices: from superfluidity to density waves
• High-Temperature Atomic Superfluidity in Lattice Boson-Fermion Mixtures
• Self-Trapping of Bosons and Fermions in Optical Lattices
• Applications of exact solution for strongly interacting one dimensional bose-fermi mixture: low-temperature correlation functions, density profiles and collective modes
• Disordered ultracold atomic gases in optical lattices: A case study of Fermi-Bose mixtures
• Mixture of bosonic and spin-polarized fermionic atoms in an optical lattice
• Quantum emulsion: a glassy phase of bosonic mixtures in optical lattices
• Information propagation for interacting particle systems
• Phase separation in a two species Bose mixture
• Engineering Superfluidity in Bose-Fermi Mixtures of Ultracold Atoms
• Dark matter as a Bose--Einstein Condensate: the relativistic non-minimally coupled case
• Inhomogeneous atomic Bose-Fermi mixtures in cubic lattices
• The one-dimensional Bose-Fermi-Hubbard model in the heavy-fermion limit
• Many-Body Expansion Dynamics of a Bose-Fermi Mixture Confined in an Optical Lattice
• Interaction-Dependent Photon-Assisted Tunneling in Optical Lattices: A Quantum Simulator of Strongly-Correlated Electrons and Dynamical Gauge Fields
• Gross-Neveu-Wilson model and correlated symmetry-protected topological phases
• Competing Orders in two-dimensional Bose-Fermi mixtures
• Radio Frequency Selective Addressing of Localized Particles in a Periodic Potential
• Polaronic slowing of fermionic impurities in lattice Bose-Fermi mixtures
• Dynamic structure factor of ultracold Bose and Fermi gases in optical lattices
• Multi-band and nonlinear hopping corrections to the 3D Bose-Fermi Hubbard model
• Do mixtures of bosonic and fermionic atoms adiabatically heat up in optical lattices?
• ${\mathbb{Z}}_N$ gauge theories coupled to topological fermions: QED${}_2$ with a quantum-mechanical $\theta$ angle
• Observation of coherent quench dynamics in a metallic many-body state of fermionic atoms
• Supersolidity of cold-atom Bose-Fermi mixtures in optical lattices
• Magnetic ordering and quantum statistical effects in strongly repulsive Fermi-Fermi and Bose-Fermi mixtures
• From the Cooper problem to canted supersolids in Bose-Fermi mixtures
• Quantum phases in a resonantly-interacting Bose-Fermi mixture
• Dimer, trimer and FFLO liquids in mass- and spin-imbalanced trapped binary mixtures in one dimension
• Gutzwiller approach to the Bose-Hubbard model with random local impurities
• Bose-Fermi mixtures in an optical lattice
• Boson-Fermion pairing in Bose-Fermi mixtures on 1D optical lattices
• Visibility of Cold Atomic Gases in Optical Lattices for Finite Temperatures
• Mixing-demixing transition in one-dimensional boson-fermion mixtures
• Controlling ultracold atoms in multi-band optical lattices for simulation of Kondo physics
• Analytic approximations to the phase diagram of the Jaynes-Cummings-Hubbard model with application to ion chains
• Superfluid and Mott Insulator phases of one-dimensional Bose-Fermi mixtures
• Exotic Superconducting Phases of Ultracold Atom Mixtures on Triangular Lattices
• Generalized Dynamical Mean-Field Theory for Bose-Fermi Mixtures in Optical Lattices
• Density-induced processes in quantum gas mixtures in optical lattices
• Zero-temperature phase diagram of Bose-Fermi gaseous mixtures in optical lattices
• A Three-Dimensional Optical Lattice of Ytterbium and Lithium Atomic Mixture
• Superfluid-insulator transition in Fermi-Bose mixtures and the orthogonality catastrophe
• Effect of interactions on harmonically confined Bose-Fermi mixtures in optical lattices
• Strongly Interacting Two-Dimensional Dirac Fermions
• Fermion mediated long-range interactions of bosons in the 1D Bose-Fermi-Hubbard model
• Phase diagram of a Bose-Fermi mixture in a one-dimensional optical lattice in terms of fidelity and entanglement
• Quantum Monte Carlo study of the visibility of one-dimensional Bose-Fermi mixtures
• Phonon resonances in atomic currents through Bose-Fermi mixtures in optical lattices
• Generalized Mean Field Approach to a Resonant Bose-Fermi Mixture
• Quasi-angular momentum of Bose and Fermi gases in rotating optical lattices
• Mott states under the influence of fermion-boson conversion: invasion of superfluidity
• Phases and collective modes of hardcore Bose-Fermi mixture in an optical lattice
• Magnetic excitations in one-dimensional spin-orbital models
• Effects of a dilute gas of fermions on the superfluid-insulator phase diagram of the Bose-Hubbard model
• The impact of spatial correlation on the tunneling dynamics of few-boson mixtures in a combined triple well and harmonic trap
• Superfluid phases of spin-1 bosons in cubic optical lattice
• Variational study of polarons and bipolarons in a 1D Bose lattice gas in both superfluid and Mott regimes
• Superfluid-Insulator Transition unambiguously detected by entanglement in one-dimensional disordered superfluids
• Spatial noise correlations of a chain of ultracold fermions - A numerical study
• Scissors modes of two-component degenerate gases: Bose-Bose and Bose-Fermi mixtures
• Mott transition in one-dimensional boson-fermion mixtures
• Quantum Coherent States of Interacting Bose-Fermi Mixtures in One Dimension
• Doublon dynamics of Bose-Fermi mixtures in optical lattices
• Interaction dependent temperature effects in Bose-Fermi mixtures in optical lattices
• Unconventional quantum phases of lattice bosonic mixtures
• Coupled two-component atomic gas in an optical lattice
• Thermodynamical approaches to efficient sympathetic cooling in ultracold Fermi-Bose atomic mixtures
• Phase transitions in Bose-Fermi-Hubbard model in the heavy fermion limit: Hard-core boson approach
• Entanglement in disordered superfluids: the impact of density, interaction and harmonic confinement on the Superconductor-Insulator transition
• Phase transitions in the boson-fermion resonance model in one dimension
• Mixture of scalar bosons and two-color fermions in one dimension: Superfluid-insulator transitions
• Hubbard-like Hamiltonian for ultracold atoms in a 1D optical lattice
• Quantum dynamics, particle delocalization and instability of Mott states: the effect of fermion-boson conversion on Mott states
• Counterflow superfluid of polaron pairs in Bose-Fermi mixtures in optical lattices
• Coupling internal atomic states in a two-component Bose-Einstein condensate via an optical lattice: Extended Mott-superfluid transitions
• Particle-Hole Pair Coherence in Mott Insulator Quench Dynamics
• Bose-Fermi solid and its quantum melting in an one-dimensional optical lattice
• Insulator phases of a mixture of spinor fermions and hard-core bosons
• Strongly correlated Fermi-Bose mixtures in disordered optical lattices
• Mixing-Demixing transition in 1D boson-fermion mixture at low fermion densities
• Bose-Fermi mixtures in 1D optical superlattices
• Detecting Entrainment in Fermi-Bose Mixtures
• Mott transitions in a three-component Falicov-Kimball model: A slave boson mean-field study
• Bose-Fermi Mixtures Near an Interspecies Feshbach Resonance: Testing a Non Equilibrium Approach
• Mixture of Tonks-Girardeau gas and Fermi gas in one-dimensional optical lattices
• How the effective boson-boson interaction works in Bose-Fermi mixtures in periodic geometries
• Spin-selective insulators in Bose-Fermi mixtures
• The rotor Jackiw-Rebbi model: a cold-atom approach to chiral symmetry restoration and quark confinement
• Complex phases in the doped two-species bosonic Hubbard Model
• Renormalization group approach to spinor Bose-Fermi mixtures in a shallow optical lattice
• Competing instabilities at long length scales in the one-dimensional Bose-Fermi-Hubbard model at commensurate fillings
• Competing Orders in a Dipolar Bose-Fermi Mixture on a Square Optical Lattice: Mean-Field Perspective
• An effective mean field theory for the coexistence of anti-ferromagnetism and superconductivity: Applications to iron-based superconductors and cold Bose-Fermi atomic mixtures
• Bose-Hubbard model with occupation-parity couplings
• Phase Equilibrium of Binary Mixtures in Mixed Dimensions
• Insulator phases of Bose-Fermi mixtures induced by intraspecies next-neighbor interactions
• Quantum steering ellipsoids and quantum obesity in critical systems
• Exploring phonon-like interactions in one-dimensional Bose-Fermi mixtures
• Mean-field algebraic approach to the dynamics of fermions in a 1D optical lattice
• Sign reversal of the boson-boson interaction potential in planar Bose-Fermi mixtures under a synthetic magnetic field
• Quantum Monte Carlo simulations of bosonic and fermionic impurities in a two-dimensional hard-core boson system
• Bose-Fermi-Hubbard model on a lattice with two nonequivalent sublattices
• Ferromagnetic phase in the polarized two-species bosonic Hubbard Model
• Massive Dirac states bound to vortices by a boson-fermion interaction
• The one-dimensional Bose-Fermi-Hubbard model in the limit of fast fermions