Phase diagram of a strongly interacting polarized Fermi gas in one dimension

Abstract

Based on the integrable Gaudin model and local density approximation, we discuss the phase structure of one-dimensional trapped Fermi gases with imbalanced spin populations for arbitrary attractive interactions. A phase separation state, with a polarized superfluid core immersed in an unpolarized superfluid shell, emerges below a critical spin polarization. Above it, a coexistence of polarized superfluid matter and a fully polarized normal gas is favored. These two exotic states could be realized experimentally in highly elongated atomic traps, and diagnosed by measuring the lowest density compressional mode. We identify the polarized superfluid as having an FFLO structure, and predict the resulting mode frequency as a function of the spin polarization.

4 pages, 5 figures; title changed; published version in PRL

References in corpus (7)

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• An exactly solvable model of the BCS-BEC crossover
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Cited by in corpus (76)

• Many-Body Physics with Ultracold Gases
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• Ultra-cold Polarized Fermi Gases
• Ultracold Heteronuclear Fermi-Fermi Molecules
• Pairing states of a polarized Fermi gas trapped in a one-dimensional optical lattice
• Quasi-one-dimensional polarized Fermi superfluids
• Fulde-Ferrell-Larkin-Ovchinnikov superfluidity in one-dimensional optical lattices
• Phase Transitions and Pairing Signature in Strongly Attractive Fermi Atomic Gases
• Density-Matrix Renormalization Group Study of Trapped Imbalanced Fermi Condensates
• Exact quantum Monte Carlo study of one dimensional trapped fermions with attractive contact interactions
• Matrix product ansatz for Fermi fields in one dimension
• Exact Numerical Study of Pair Formation with Imbalanced Fermion Populations
• The FFLO state in the one-dimensional attractive Hubbard model and its fingerprint in the spatial noise correlations
• Theory of quasi-one dimensional imbalanced Fermi gases
• Long-time behavior of the momentum distribution during the sudden expansion of a spin-imbalanced Fermi gas in one dimension
• FFLO state in 1, 2, and 3 dimensional optical lattices combined with a non-uniform background potential
• Finite temperature phase diagram of a spin-polarized ultracold Fermi gas in a highly elongated harmonic trap
• The normal phase of an imbalanced Fermi gas
• Quantum phase diagram of fermion mixtures with population imbalance in one-dimensional optical lattices
• Pair correlations of a spin-imbalanced Fermi gas on two-leg ladders
• Magnetic Phase Transitions in One-dimensional Strongly Attractive Three-Component Ultracold Fermions
• Single Impurity In Ultracold Fermi Superfluids
• Signature of the FFLO phase in the collective modes of a trapped ultracold Fermi gas
• Confinement-induced resonance in quasi-one-dimensional systems under transversely anisotropic confinement
• Density-functional theory of two-component Bose gases in one-dimensional harmonic traps
• Multi-component strongly attractive Fermi gas: a color superconductor in a one-dimensional harmonic trap
• Magnetic ordering and quantum statistical effects in strongly repulsive Fermi-Fermi and Bose-Fermi mixtures
• Dimer, trimer and FFLO liquids in mass- and spin-imbalanced trapped binary mixtures in one dimension
• Finite temperature QMC study of the one-dimensional polarized Fermi gas
• Pair formation and collapse in imbalanced Fermion populations with unequal masses
• Polylogs, thermodynamics and scaling functions of one-dimensional quantum many-body systems
• Soliton-induced Majorana fermions in a one-dimensional atomic topological superfluid
• Virial expansion for a strongly correlated Fermi gas with imbalanced spin populations
• Topological Fulde-Ferrell Superfluids of a Spin-Orbit Coupled Fermi Gas
• Multimer formation in 1D two-component gases and trimer phase in the asymmetric attractive Hubbard model
• Interaction quantum quenches in the one-dimensional Fermi-Hubbard model with spin imbalance
• Finite temperature phase diagram of trapped Fermi gases with population imbalance
• Ground states and dynamics of population-imbalanced Fermi condensates in one dimension
• Impurity probe of topological superfluid in one-dimensional spin-orbit coupled atomic Fermi gases
• Resonant enhancement of the FFLO-state in 3D by a one-dimensional optical potential
• Bogoliubov-de Gennes study of trapped spin-imbalanced unitary Fermi gases
• Solution of the BEC to BCS Quench in One Dimension
• Interferometric probe of paired states
• Energy, contact, and density profiles of one-dimensional fermions in a harmonic trap via non-uniform lattice Monte Carlo
• Critical behaviour in one dimension: unconventional pairing, phase separation, BEC-BCS crossover and magnetic Lifshitz transition
• Population imbalanced fermions in harmonically trapped optical lattices
• Collective modes and the speed of sound in the Fulde-Ferrell-Larkin-Ovchinnikov state
• Magnetism and quantum phase transitions in spin-1/2 attractive fermions with polarization
• Noise correlations of the ultra-cold Fermi gas in an optical lattice
• Analytical thermodynamics of a strongly attractive three-component Fermi gas in one dimension
• Critical phenomena in one dimension from a Bethe ansatz perspective
• Superfluid density and Berezinskii-Kosterlitz-Thouless transition of a spin-orbit coupled Fulde-Ferrell superfluid
• Oscillatory pairing of fermions in spin-split traps
• In Situ Thermometry of Fermionic Cold-Atom Quantum Wires
• One- and two-dimensional reductions of the mean-field description of degenerate Fermi gases
• Quantum Coherent States of Interacting Bose-Fermi Mixtures in One Dimension
• Exotic pairing in 1D spin-3/2 atomic gases with $SO(4)$ symmetry
• Fulde-Ferrell-Larkin-Ovchinnikov state in bilayer dipolar systems
• Unconventional superconductivity of an altermagnetic metal: Polarized BCS and inhomogeneous Fulde-Ferrell-Larkin-Ovchinnikov states
• Yang-Yang method for the thermodynamics of one-dimensional multi-component interacting fermions
• Suppression or enhancement of the Fulde-Ferrell-Larkin-Ovchinnikov order in a one-dimensional optical lattice with particle correlated tunnelling
• Phase separations induced by a trapping potential in one-dimensional fermionic systems as a source of core-shell structures
• Spin-imbalanced ultracold Fermi gases in a two-dimensional array of tubes
• Low-Dimensional Fluctuations and Pseudogap in Gaudin-Yang Fermi Gases
• Quantum Lifshitz points in an altermagnetic metal
• Pairing correlations in a trapped one-dimensional Fermi gas
• Diffusion Monte Carlo study of a spin-imbalanced two-dimensional Fermi gas with attractive interactions
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• Excitation Spectra of one-dimensional spin-1/2 Fermi gas with an attraction
• Altermagnetism-driven FFLO superconductivity in finite-filling 2D lattices
• On the spin asymmetry of ground states in trapped two-component Fermi gases with repulsive interactions
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• Exploring Exotic Superfluidity of Polarized Ultracold Fermions in Optical Lattices
• Achieving one-dimensionality with attractive fermions
• Unconventional pairing in few-fermion systems tuned by external confinement
• Structures and proximity effects of inhomogeneous population-imbalanced Fermi gases with pairing interactions