Lieb-Liniger model of a dissipation-induced Tonks-Girardeau gas

Details Lieb-Liniger model of a dissipation-induced Tonks-Girardeau gas Lieb-Liniger model of a dissipation-induced Tonks-Girardeau gas

2008-09-22

arxiv.org/abs/0809.3696v2

Phys. Rev. A 79, 023614 (2009)

Physics

Condensed Matter

Other Condensed Matter

Scientific paper

10.1103/PhysRevA.79.023614

We show that strong inelastic interactions between bosons in one dimension create a Tonks-Girardeau gas, much as in the case of elastic interactions. We derive a Markovian master equation that describes the loss caused by the inelastic collisions. This yields a loss rate equation and a dissipative Lieb-Liniger model for short times. We obtain an analytic expression for the pair correlation function in the limit of strong dissipation. Numerical calculations show how a diverging dissipation strength leads to a vanishing of the actual loss rate and renders an additional elastic part of the interaction irrelevant.

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