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Evidence for the super Tonks–Girardeau gas

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M T Batchelor1, M Bortz, X W Guan and N Oelkers

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LETTER

We provide evidence in support of a recent proposal by Astrakharchik et 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–Girardeau 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.


Keywords

solvable lattice models

quantum integrability (Bethe ansatz)

 

E-print Number: cond-mat/0508009

Cited: by |

Refers: to

PACS

05.30.Jp Boson systems

05.50.+q Lattice theory and statistics (Ising, Potts, etc.)

MSC

82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs

82B23 Exactly solvable models; Bethe ansatz

Subjects

Quantum gases, liquids and solids

Statistical physics and nonlinear systems

Dates

Issue 10 (October 2005)

Received 2 August 2005, accepted for publication 23 September 2005

Published 4 October 2005



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