Quantum criticality of a one-dimensional attractive Fermi gas

Xi Wen Guan*, Tin Lun Ho

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    29 Citations (Scopus)

    Abstract

    We obtain an analytical equation of state for one-dimensional strongly attractive Fermi gases for all parameter regimes in current experiments. From the equation of state, we derive universal scaling functions that control whole thermodynamical properties in quantum critical regimes and illustrate the physical origin of quantum criticality. It turns out that the critical properties of the system are described by those of free fermions and those of mixtures of fermions with masses m and 2m. We also show how these critical properties of bulk systems can be revealed from the density profile of trapped Fermi gases at finite temperatures and can be used to determine the T=0 phase boundaries without any arbitrariness.

    Original languageEnglish
    Article number023616
    JournalPhysical Review A - Atomic, Molecular, and Optical Physics
    Volume84
    Issue number2
    DOIs
    Publication statusPublished - 9 Aug 2011

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