Physics – Condensed Matter – Quantum Gases
Scientific paper
2009-10-09
Phys. Rev. A 81, 031608(R) (2010)
Physics
Condensed Matter
Quantum Gases
4 pages, 2 figures
Scientific paper
10.1103/PhysRevA.81.031608
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 behaviour 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, we find that they are equivalent to ideal particles obeying more exclusive statistics than Fermi-Dirac statistics.
Batchelor Murray T.
Chen Shu
Guan Liming
Guan X.-W.
Yin Xiangguo
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