English

Dimensional Crossover in a Spin-imbalanced Fermi gas

Quantum Gases 2016-12-22 v2

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.

Keywords

Cite

@article{arxiv.1508.03352,
  title  = {Dimensional Crossover in a Spin-imbalanced Fermi gas},
  author = {Shovan Dutta and Erich J. Mueller},
  journal= {arXiv preprint arXiv:1508.03352},
  year   = {2016}
}

Comments

7 pages, 5 figures

R2 v1 2026-06-22T10:33:21.581Z