Phase Diagram of a Strongly Interacting Polarized Fermi Gas in One Dimension

Hui Hu, Xia-Ji Liu, and Peter D. Drummond
Phys. Rev. Lett. 98, 070403 – Published 14 February 2007

Abstract

Based on the integrable Gaudin model and local density approximation, we discuss the ground state of a one-dimensional trapped Fermi gas with imbalanced spin population, for an arbitrary attractive interaction. A phase separation state, with a polarized superfluid core immersed in an unpolarized superfluid shell, emerges below a critical spin polarization. Above it, coexistence of polarized superfluid matter and a fully polarized normal gas is favored. These two exotic states could be realized experimentally in highly elongated atomic traps, and diagnosed by measuring the lowest density compressional mode. We identify the polarized superfluid as having an Fulde-Ferrell-Larkin-Ovchinnikov structure, and predict the resulting mode frequency as a function of the spin polarization.

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  • Received 17 October 2006

DOI:https://doi.org/10.1103/PhysRevLett.98.070403

©2007 American Physical Society

Authors & Affiliations

Hui Hu1,2, Xia-Ji Liu2, and Peter D. Drummond2

  • 1Department of Physics, Renmin University of China, Beijing 100872, China
  • 2ARC Centre of Excellence for Quantum-Atom Optics, Department of Physics, University of Queensland, Brisbane, Queensland 4072, Australia

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Issue

Vol. 98, Iss. 7 — 16 February 2007

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