Dimensional crossover in a spin-imbalanced Fermi gas

Authors
Mueller, Erich J 

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Type
Article
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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.

Publication Date
2016
Online Publication Date
2016-12-21
Acceptance Date
2016-11-24
Keywords
cond-mat.quant-gas, cond-mat.quant-gas
Journal Title
PHYSICAL REVIEW A
Journal ISSN
2469-9926
2469-9934
Volume Title
94
Publisher
American Physical Society (APS)
Rights
Publisher's own licence
Sponsorship
National Science Foundation Grant No. PHY-1508300