Universal Tomonaga-Luttinger liquid phases in one-dimensional strongly attractive SU(N) fermionic cold atoms

X. W. Guan, J. Y. Lee, M. T. Batchelor, X. G. Yin, Shu Chen

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    18 Citations (Scopus)

    Abstract

    A simple set of algebraic equations is derived for the exact low-temperature thermodynamics of one-dimensional multicomponent strongly attractive fermionic atoms with enlarged SU(N) spin symmetry and Zeeman splitting. Universal multicomponent Tomonaga-Luttinger liquid (TLL) phases are thus determined. For linear Zeeman splitting, the physics of the gapless phase at low temperatures belongs to the universality class of a two-component asymmetric TLL corresponding to spin-neutral N-atom composites and spin-(N-1)/2 single atoms. The equation of state which we obtained provides a precise description of multicomponent composite fermions and opens up the study of quantum criticality in one-dimensional systems of N-component Fermi gases with population imbalance.

    Original languageEnglish
    Article number021606
    JournalPhysical Review A - Atomic, Molecular, and Optical Physics
    Volume82
    Issue number2
    DOIs
    Publication statusPublished - 26 Aug 2010

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