Attractive Fermi gases with unequal spin populations in highly elongated traps

Abstract

We investigate two-component attractive Fermi gases with imbalanced spin populations in trapped one dimensional configurations. The ground state properties are determined within local density approximation, starting from the exact Bethe-ansatz equations for the homogeneous case. We predict that the atoms are distributed according to a two-shell structure: a partially polarized phase in the center of the trap and either a fully paired or a fully polarized phase in the wings. The partially polarized core is expected to be a superfluid of the FFLO type. The size of the cloud as well as the critical spin polarization needed to suppress the fully paired shell, are calculated as a function of the coupling strength.

Final accepted version

References in corpus (5)

• Observation of Phase Separation in a Strongly-Interacting Imbalanced Fermi Gas
• Direct Observation of the Superfluid Phase Transition in Ultracold Fermi Gases
• Deformation of a Trapped Fermi Gas with Unequal Spin Populations
• An exactly solvable model of the BCS-BEC crossover
• Profiles of near-resonant population-imbalanced trapped Fermi gases

Cited by in corpus (192)

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• Fermi gas with attractive potential and arbitrary spin in one-dimensional trap
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• Dimensional Crossover in a Spin-imbalanced Fermi gas
• Quantum Coherent States of Interacting Bose-Fermi Mixtures in One Dimension
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• FFLO correlation and free fluids in the one-dimensional attractive Hubbard model
• Multiple phase separation in one-dimensional mixtures of mass- and population-imbalanced attractive Fermi gases
• Inhomogeneous state of few-fermion superfluids
• Pure Fulde-Ferrell-Larkin-Ovchinnikov state in optical lattices
• Two-component repulsive Fermi gases with population imbalance in elongated harmonic traps
• Simulating artificial one-dimensional physics with ultra-cold fermionic atoms: three exemplary themes
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• Topological Uniform Superfluid and FFLO Phases in 3D to 1D crossover of spin-orbit coupled Fermi gases
• Fulde-Ferrell-Larkin-Ovchinnikov state in bilayer dipolar systems
• Quantum engineering of Majorana quasiparticles in one-dimensional optical lattices
• The importance of being integrable: out of the paper, into the lab
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• Synthetic-gauge-field-induced resonances and Fulde-Ferrell-Larkin-Ovchinnikov states in a one-dimensional optical lattice
• Excitation spectrum and effective interactions of highly-elongated Fermi gas
• Fulde-Ferrell-Larkin-Ovchinnikov pairing states of a polarized dipolar Fermi gas trapped in a one-dimensional optical lattice
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• Phase transitions in quasi-one dimensional system with unconventional superconductivity
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• Spin-imbalanced ultracold Fermi gases in a two-dimensional array of tubes
• Phase separations induced by a trapping potential in one-dimensional fermionic systems as a source of core-shell structures
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• Polarized Fermi gases in asymmetric optical lattices
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• Collective excitations of an imbalanced fermion gas in a 1D optical lattice
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• Exact Solutions to Two-Component Many-Body Systems in One Dimension
• Excitation Spectra of one-dimensional spin-1/2 Fermi gas with an attraction
• Gradient corrections to the local density approximation in the one-dimensional Bose gas
• Universal logarithmic temperature dependence of magnetic susceptibility of one-dimensional electrons at critical values of magnetic field
• Trapped imbalanced fermionic superfluids in one dimension: A variational approach
• Enhanced Fulde-Ferrell-Larkin-Ovchinnikov and Sarma superfluid states near an orbital Feshbach resonance
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• Pairing in population imbalanced Fermion systems
• Hierarchy of pairing in imbalanced three-component one-dimensional Fermi gas
• Exploring Exotic Superfluidity of Polarized Ultracold Fermions in Optical Lattices
• Low-dimensional physics of ultracold gases with bound states and the sine-Gordon model
• Achieving one-dimensionality with attractive fermions
• Unconventional pairing in few-fermion systems tuned by external confinement
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