Paired states in spin-imbalanced atomic Fermi gases in one dimension

Abstract

A growing expertise to engineer, manipulate and probe different cold-atom analogs of electronic condensed matter systems allows to probe properties of exotic pairing. We study paired states of spin-imbalanced ultracold atomic system of fermions with attractive short-range interactions in one-dimensional traps. Calculations are done using the Bethe Ansatz technique and the trap is incorporated into the solution via a local density approximation. The thermodynamic-Bethe-Ansatz equations are solved numerically and different local density profiles are calculated for zero and finite temperatures. A procedure to identify the homogeneous-system phase diagram using local density profiles in the trap is also proposed. Such scheme would be immediately useful for the experiments.

4 pages, 2 figures

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Cited by in corpus (48)

• Fermi gases in one dimension: From Bethe Ansatz to experiments
• Spin-Imbalance in a One-Dimensional Fermi Gas
• Ultra-cold Polarized Fermi Gases
• The Fulde-Ferrell-Larkin-Ovchinnikov state for ultracold fermions in lattice and harmonic potentials: a review
• Matrix product ansatz for Fermi fields in one dimension
• Physics of higher orbital bands in optical lattices: a review
• Long-time behavior of the momentum distribution during the sudden expansion of a spin-imbalanced Fermi gas in one dimension
• Stable Fulde-Ferrell-Larkin-Ovchinnikov pairing states in 2D and 3D optical lattices
• Analytic thermodynamics and thermometry of Gaudin-Yang Fermi gases
• Probing the FFLO phase by double occupancy modulation spectroscopy
• Expansion of 1D polarized superfluids: The FFLO state reveals itself
• Spectroscopy of the soliton lattice formation in quasi-one-dimensional fermionic superfluids with population imbalance
• Third-order perturbative lattice and complex Langevin analyses of the finite-temperature equation of state of non-relativistic fermions in one dimension
• Asymptotic correlation functions and FFLO signature for the one-dimensional attractive spin-1/2 Fermi gas
• BCS-BEC crossover and the disappearance of FFLO-correlations in a spin-imbalanced, one-dimensional Fermi gas
• One-dimensional multicomponent fermions with delta function interaction in strong and weak coupling limits: Two-component Fermi gas
• Finite temperature QMC study of the one-dimensional polarized Fermi gas
• Dimer, trimer and FFLO liquids in mass- and spin-imbalanced trapped binary mixtures in one dimension
• Quantum Criticality of 1D Attractive Fermi Gas
• Polylogs, thermodynamics and scaling functions of one-dimensional quantum many-body systems
• Pair tunneling, phase separation and dimensional crossover in imbalanced fermionic superfluids in a coupled array of tubes
• Oscillatory pairing amplitude and magnetic compressible-incompressible transitions in imbalanced fermionic superfluids in optical lattices of elongated tubes
• Tuning between singlet, triplet, and mixed pairing states in an extended Hubbard chain
• Fulde-Ferrell-Larkin-Ovchinnikov critical polarization in one-dimensional fermionic optical lattices
• Interaction quantum quenches in the one-dimensional Fermi-Hubbard model with spin imbalance
• Two interacting fermions in a 1D harmonic trap: matching the Bethe ansatz and variational approaches
• Universal quantum behaviors of interacting fermions in 1D traps: from few particles to the trap thermodynamic limit
• Universal Tomonaga-Luttinger liquid phases in one-dimensional strongly attractive SU(N) fermionic cold atoms
• Ground states and dynamics of population-imbalanced Fermi condensates in one dimension
• Energy, contact, and density profiles of one-dimensional fermions in a harmonic trap via non-uniform lattice Monte Carlo
• Magnetism and quantum phase transitions in spin-1/2 attractive fermions with polarization
• Competition between Normal Superfluidity and Larkin-Ovchinnikov Phases of Polarized Fermi Gases in Elongated Traps
• Quantum criticality and universal scaling of strongly attractive spin-imbalanced Fermi gases in a 1D harmonic trap
• Analytical thermodynamics of a strongly attractive three-component Fermi gas in one dimension
• Exactly solvable models and ultracold Fermi gases
• Enhanced visibility of the Fulde-Ferrell-Larkin-Ovchinnikov state in one dimensional Bose-Fermi mixtures near the immiscibility point
• Superfluidity in Two-Dimensional Imbalanced Fermi Gases
• Fermi gas with attractive potential and arbitrary spin in one-dimensional trap
• Dimensional Crossover in a Spin-imbalanced Fermi gas
• Multiple phase separation in one-dimensional mixtures of mass- and population-imbalanced attractive Fermi gases
• Quantum Coherent States of Interacting Bose-Fermi Mixtures in One Dimension
• Josephson effect in an atomic Fulde-Ferrell-Larkin-Ovchinnikov superfluid
• Nesting and lifetime effects in the FFLO state of quasi-one-dimensional imbalanced Fermi gases
• Hard-Wall and Non-Uniform Lattice Monte Carlo Approaches to One-Dimensional Fermi Gases in a Harmonic Trap
• Hartree-Fock-Bogoliubov theory of trapped one-dimensional imbalanced Fermi systems
• Trapped imbalanced fermionic superfluids in one dimension: A variational approach
• Pairing in population imbalanced Fermion systems
• Fulde-Ferrell states in unequally charged Fermi gases