Pairing of 1D Bose-Fermi mixtures with unequal masses

Abstract

We have considered one-dimensional Bose-Fermi mixture with equal densities and unequal masses using numerical density matrix renormalization group (DMRG). For the mass ratio of K-Rb mixture and attraction between bosons and fermions, we determined the phase diagram. For weak boson-boson interactions, there is a direct transition between two-component Luttinger liquid and collapsed phases as the boson-fermion attraction is increased. For strong enough boson-boson interactions, we find an intermediate "paired" phase, which is a single-component Luttinger liquid of composite particles. We investigated correlation functions of such a "paired" phase, studied the stability of "paired" phase to density imbalance, and discussed various experimental techniques which can be used to detect it.

7 pages, 5 figures

References in corpus (8)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Observation of the Pairing Gap in a Strongly Interacting Fermi Gas
• Bosonizing one-dimensional cold atomic gases
• Bose-Fermi Mixtures in a Three-dimensional Optical Lattice
• Localization of bosonic atoms by fermionic impurities in a 3d optical lattice
• Instabilities in binary mixtures of one-dimensional quantum degenerate gases
• Exact results for the 1D interacting mixed Bose-Fermi gas
• Correlation functions of one-dimensional Bose-Fermi mixtures

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• Dimer, trimer and FFLO liquids in mass- and spin-imbalanced trapped binary mixtures in one dimension
• Induced pairing of fermionic impurities in a one-dimensional strongly correlated Bose gas
• Multimer formation in 1D two-component gases and trimer phase in the asymmetric attractive Hubbard model
• Competition of superfluidity and density waves in one-dimensional Bose-Fermi mixtures
• Binding between two-component bosons in one dimension
• Phases and collective modes of hardcore Bose-Fermi mixture in an optical lattice
• Stability and pairing in quasi-one-dimensional Bose-Fermi mixtures
• Response functions in multicomponent Luttinger liquids
• Quasiparticle decay in a one-dimensional Bose-Fermi mixture
• Quantum Adiabatic Doping for Atomic Fermi-Hubbard Quantum Simulations