Realization of effective super Tonks-Girardeau gases via strongly attractive one-dimensional Fermi gases

Shu Chen; Xi Wen Guan; Xiangguo Yin; Liming Guan; M. T. Batchelor

doi:10.1103/PhysRevA.81.031608

Realization of effective super Tonks-Girardeau gases via strongly attractive one-dimensional Fermi gases

Shu Chen^*, Xi Wen Guan, Xiangguo Yin, Liming Guan, M. T. Batchelor

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

36 Citations (Scopus)

Abstract

A significant feature of the one-dimensional super Tonks-Girardeau gas is its metastable gas-like state with a stronger Fermi-like pressure than for free fermions which prevents a collapse of atoms. This naturally suggests a way to search for such strongly correlated behavior in systems of interacting fermions in one dimension. We thus show that the strongly attractive Fermi gas without polarization can be effectively described by a super Tonks-Girardeau gas composed of bosonic Fermi pairs with attractive pair-pair interaction. A natural description of such super Tonks-Girardeau gases is provided by Haldane generalized exclusion statistics. In particular, they are equivalent to ideal particles obeying more exclusive statistics than Fermi-Dirac statistics.

Original language	English
Article number	031608
Journal	Physical Review A - Atomic, Molecular, and Optical Physics
Volume	81
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevA.81.031608
Publication status	Published - 24 Mar 2010

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AU - Yin, Xiangguo

AU - Guan, Liming

AU - Batchelor, M. T.

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Realization of effective super Tonks-Girardeau gases via strongly attractive one-dimensional Fermi gases

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