Lieb-Liniger model of a dissipation-induced Tonks-Girardeau gas
Other Condensed Matter
2009-02-11 v2
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.
Keywords
Cite
@article{arxiv.0809.3696,
title = {Lieb-Liniger model of a dissipation-induced Tonks-Girardeau gas},
author = {S. Dürr and J. J. Garcia-Ripoll and N. Syassen and D. M. Bauer and M. Lettner and J. I. Cirac and G. Rempe},
journal= {arXiv preprint arXiv:0809.3696},
year = {2009}
}