Evidence for the super Tonks-Girardeau gas

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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10 pages, 1 figure, 2 tables, additional text on the stability of the super T-G gas-like state

Scientific paper

10.1088/1742-5468/2005/10/L10001

We provide evidence in support of a recent proposal by Astrakharchik at al. for the existence of a super Tonks-Girardeau gas-like state in the attractive interaction regime of quasi-one-dimensional Bose gases. We show that the super Tonks-Giradeau gas-like state corresponds to a highly-excited Bethe state in the integrable interacting Bose gas for which the bosons acquire hard-core behaviour. The gas-like state properties vary smoothly throughout a wide range from strong repulsion to strong attraction. There is an additional stable gas-like phase in this regime in which the bosons form two-body bound states behaving like hard-core bosons.

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