Dimensional Crossover in a Spin-imbalanced Fermi gas

Abstract

We model the one-dimension (1D) to three-dimension (3D) crossover in a cylindrically trapped Fermi gas with attractive interactions and spin-imbalance. We calculate the mean-field phase diagram, and study the relative stability of exotic superfluid phases as a function of interaction strength and temperature. For weak interactions and low density, we find 1D-like behavior, which repeats as a function of the chemical potential as new channels open. For strong interactions, mixing of single-particle levels gives 3D-like behavior at all densities. Furthermore, we map the system to an effective 1D model, finding significant density dependence of the effective 1D scattering length.

7 pages, 5 figures

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Cited by in corpus (9)

• Collective modes of a soliton train in a Fermi superfluid
• Simulating artificial one-dimensional physics with ultra-cold fermionic atoms: three exemplary themes
• Phase diagrams of polarized ultra-cold gases on attractive-U Hubbard ladders
• Dimensionally Induced Phase Transition of the Weakly Interacting Ultracold Bose Gas
• Cavity-induced Fulde-Ferrell-Larkin-Ovchinnikov superfluids of ultracold Fermi gases
• Spin-imbalanced ultracold Fermi gases in a two-dimensional array of tubes
• Dimensional crossover in ultracold Fermi gases from Functional Renormalisation
• Protocol to engineer Fulde-Ferrell-Larkin-Ovchinnikov states in a cold Fermi gas
• Low-energy modes of spin-imbalanced Fermi gases in BCS phase