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

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• Analytical thermodynamics of a strongly attractive three-component Fermi gas in one dimension
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• Yang-Yang method for the thermodynamics of one-dimensional multi-component interacting fermions
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• Phase separations induced by a trapping potential in one-dimensional fermionic systems as a source of core-shell structures
• Thermodynamics of one-dimensional SU(4) and SU(6) fermions with attractive interactions
• Low-Dimensional Fluctuations and Pseudogap in Gaudin-Yang Fermi Gases
• Excitation Spectra of one-dimensional spin-1/2 Fermi gas with an attraction
• Quantum Criticality of one-dimensional multicomponent Fermi Gas with Strongly Attractive Interaction
• Hierarchy of pairing in imbalanced three-component one-dimensional Fermi gas