Phase diagrams of one-dimensional Bose-Fermi mixtures of ultra-cold atoms

Abstract

We study the quantum phase diagrams of Bose-Fermi mixtures of ultracold atoms confined to one dimension in an optical lattice. For systems with incommensurate densities, various quantum phases, e.g. charge/spin density waves, pairing, phase separation, and the Wigner crystal, are found to be dominant in different parameter regimes within a bosonization approach. The structure of the phase diagram leads us to propose that the system is best understood as a Luttinger liquid of polarons (i.e. atoms of one species surrounded by screening clouds of the other species). Special fillings, half-filling for fermions and unit filling for bosons, and the resulting gapped phases are also discussed, as well as the properties of the polarons and the experimental realization of these phases.

16 pages, 8 figures, v3: minor changes

References in corpus (5)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Spatial quantum noise interferometry in expanding ultracold atom clouds
• Bosonizing one-dimensional cold atomic gases
• Extension of Bogoliubov theory to quasi-condensates
• Instabilities in binary mixtures of one-dimensional quantum degenerate gases

Cited by in corpus (36)

• Commensurate mixtures of ultra-cold atoms in one dimension
• Multi-particle composites in density-imbalanced quantum fluids
• Pairing of 1D Bose-Fermi mixtures with unequal masses
• Spin-chain model for strongly interacting one-dimensional Bose-Fermi mixtures
• Quantum-entanglement aspects of polaron systems
• Induced pairing of fermionic impurities in a one-dimensional strongly correlated Bose gas
• Supersolids in one dimensional Bose Fermi mixtures
• Superfluid and Mott Insulator phases of one-dimensional Bose-Fermi mixtures
• Exotic Superconducting Phases of Ultracold Atom Mixtures on Triangular Lattices
• Quantum phase transitions of a two-leg bosonic ladder in an artificial gauge field
• Mott insulators and correlated superfluids in ultracold Bose-Fermi mixtures
• Multimer formation in 1D two-component gases and trimer phase in the asymmetric attractive Hubbard model
• Phase diagram of a Bose-Fermi mixture in a one-dimensional optical lattice in terms of fidelity and entanglement
• Quantum phase diagrams of fermionic dipolar gases for an arbitrary orientation of dipole moment in a planar array of 1D tubes
• Competition of superfluidity and density waves in one-dimensional Bose-Fermi mixtures
• Interaction-induced first order correlation between spatially-separated 1D dipolar fermions
• Enhanced visibility of the Fulde-Ferrell-Larkin-Ovchinnikov state in one dimensional Bose-Fermi mixtures near the immiscibility point
• Density-functional theory for 1D harmonically trapped Bose-Fermi mixture
• Quantum Coherent States of Interacting Bose-Fermi Mixtures in One Dimension
• Insulator phases of a mixture of spinor fermions and hard-core bosons
• Mixture of scalar bosons and two-color fermions in one dimension: Superfluid-insulator transitions
• Bose-Fermi solid and its quantum melting in an one-dimensional optical lattice
• Counterflow superfluid of polaron pairs in Bose-Fermi mixtures in optical lattices
• Component separation of two-component fermion clouds in a spin-dependent external potential by spin-density-functional theory
• Bose-Fermi mixtures in 1D optical superlattices
• Mixture of Tonks-Girardeau gas and Fermi gas in one-dimensional optical lattices
• Mixtures of ultra-cold atoms in 1D disordered potentials
• Quasiparticle decay in a one-dimensional Bose-Fermi mixture
• Response functions in multicomponent Luttinger liquids
• Spin-selective insulators in Bose-Fermi mixtures
• Renormalization group approach to spinor Bose-Fermi mixtures in a shallow optical lattice
• Momentum reconstruction and contact of the one-dimensional Bose-Fermi mixture
• Competing instabilities at long length scales in the one-dimensional Bose-Fermi-Hubbard model at commensurate fillings
• Insulator phases of Bose-Fermi mixtures induced by intraspecies next-neighbor interactions
• The one-dimensional Bose-Fermi-Hubbard model in the limit of fast fermions
• Composite pairing and superfluidity in a one-dimensional resonant Bose-Fermi mixture