Phase Transitions and Pairing Signature in Strongly Attractive Fermi Atomic Gases

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 $H<H_{c1}$. A completely ferromagnetic phase without pairing occurs when the external field $H>H_{c2}$. In the region $H_{c1}<H<H_{c2}$ 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.

9 pages, 5 figures, expanded version with additional text, references and figures

References in corpus (3)

• Observation of the Pairing Gap in a Strongly Interacting Fermi Gas
• An exactly solvable model of the BCS-BEC crossover
• Spin-1/2 fermions on spin-dependent optical lattices

Cited by in corpus (4)

• Pairing states of a polarized Fermi gas trapped in a one-dimensional optical lattice
• Fulde-Ferrell-Larkin-Ovchinnikov superfluidity in one-dimensional optical lattices
• Finite temperature phase diagram of a spin-polarized ultracold Fermi gas in a highly elongated harmonic trap
• Magnetic ordering and quantum statistical effects in strongly repulsive Fermi-Fermi and Bose-Fermi mixtures