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arXiv · 0809.3696

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

S. Dürr·J. J. Garcia-Ripoll·N. Syassen·D. M. Bauer·M. Lettner·J. I. Cirac·G. Rempe
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Abstract

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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S. Dürr, J. J. Garcia-Ripoll, N. Syassen, D. M. Bauer, M. Lettner, J. I. Cirac, G. Rempe. 2009-02-11. Lieb-Liniger model of a dissipation-induced Tonks-Girardeau gas. https://doi.org/10.1103/physreva.79.023614

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