Phase transitions and pairing signature in strongly attractive Fermi atomic gases

X. W. Guan, M. T. Batchelor, C. Lee, and M. Bortz
Phys. Rev. B 76, 085120 – Published 16 August 2007

Abstract

We investigate pairing and quantum phase transitions in the one-dimensional two-component Fermi atomic gas in an external field. The phase diagram, critical fields, magnetization, and local pairing correlation are obtained analytically via the exact thermodynamic Bethe ansatz solution. At zero temperature, bound pairs of fermions with opposite spin states form a singlet ground state when the external field H<Hc1. A completely ferromagnetic phase without pairing occurs when the external field H>Hc2. In the region Hc1<H<Hc2, we observe a mixed phase of matter in which paired and unpaired atoms coexist. The phase diagram is reminiscent of that of type II superconductors. For temperatures below the degenerate temperature and in the absence of an external field, the bound pairs of fermions form hard-core bosons obeying generalized exclusion statistics.

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  • Received 14 May 2007

DOI:https://doi.org/10.1103/PhysRevB.76.085120

©2007 American Physical Society

Authors & Affiliations

X. W. Guan1, M. T. Batchelor1,2, C. Lee3, and M. Bortz1

  • 1Department of Theoretical Physics, Research School of Physical Sciences and Engineering, Australian National University, Canberra, Australian Capital Territory 0200, Australia
  • 2Mathematical Sciences Institute, Australian National University, Canberra, Australian Capital Territory 0200, Australia
  • 3Nonlinear Physics Centre and ARC Centre of Excellence for Quantum-Atom Optics, Research School of Physical Sciences and Engineering, Australian National University, Canberra, Australian Capital Territory 0200, Australia

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Issue

Vol. 76, Iss. 8 — 15 August 2007

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