Radial Fulde-Ferrell-Larkin-Ovchinnikov-like state in a population-imbalanced Fermi gas

Daisuke Inotani, Shigehiro Yasui, Takeshi Mizushima, and Muneto Nitta
Phys. Rev. A 103, 053308 – Published 7 May 2021

Abstract

The possibility of a Fulde-Ferrell-Larkin-Ovchinnikov-like (FFLO-like) state in a population-imbalanced Fermi gas with a vortex is proposed. Employing the Bogoliubov-de Gennes formalism, we determine self-consistently the superfluid order parameter and the particle number density in the presence of a vortex. We find that, upon increasing the population imbalance, the superfluid order parameter spatially oscillates around the vortex core in the radial direction, indicating that the FFLO-like state becomes stable. We find that the radial FFLO-like states cover a wide region of the phase diagram in the weak-coupling regime at T=0, in contrast with the conventional case without a vortex. We show that this inhomogeneous superfluidity can be detected as peak structures of the local polarization rate associated with the node structure of the superfluid order parameter. Since the vortex in the three-dimensional Fermi gas with population imbalance has been already realized in experiments, our proposal is a promising candidate of a FFLO-like state in cold atom physics.

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  • Received 2 April 2021
  • Accepted 16 April 2021

DOI:https://doi.org/10.1103/PhysRevA.103.053308

©2021 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & OpticalCondensed Matter, Materials & Applied Physics

Authors & Affiliations

Daisuke Inotani1,*, Shigehiro Yasui1,†, Takeshi Mizushima2,‡, and Muneto Nitta1,§

  • 1Department of Physics & Research and Education Center for Natural Sciences, Keio University, Hiyoshi 4-1-1, Yokohama, Kanagawa 223-8521, Japan
  • 2Department of Materials Engineering Science, Osaka University, Toyonaka, Osaka 560-8531, Japan

  • *dinotani@keio.jp
  • yasuis@keio.jp
  • mizushima@mp.es.osaka-u.ac.jp
  • §nitta@phys-h.keio.ac.jp

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Issue

Vol. 103, Iss. 5 — May 2021

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