Realization of effective super Tonks-Girardeau gases via strongly attractive one-dimensional Fermi gases - Condensed Matter > Quantum GasesReport as inadecuate




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Abstract: A significant feature of the one-dimensional super Tonks-Girardeau gas is itsmetastable gas-like state with a stronger Fermi-like pressure than for freefermions which prevents a collapse of atoms. This naturally suggests a way tosearch for such strongly correlated behaviour in systems of interactingfermions in one dimension. We thus show that the strongly attractive Fermi gaswithout polarization can be effectively described by a super Tonks-Girardeaugas composed of bosonic Fermi pairs with attractive pair-pair interaction. Anatural description of such super Tonks-Girardeau gases is provided by Haldanegeneralized exclusion statistics. In particular, we find that they areequivalent to ideal particles obeying more exclusive statistics thanFermi-Dirac statistics.



Author: Shu Chen, Xi-Wen Guan, Xiangguo Yin, Liming Guan, Murray T Batchelor

Source: https://arxiv.org/







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