耗散诱导Tonks-Girardeau气体的Lieb-Liniger模型
Lieb-Liniger model of a dissipation-induced Tonks-Girardeau gas
摘要：
我们发现，在一维玻色子之间的强非弹性相互作用创建一个Tonks-Girardeau气体，在弹性相互作用的情况下。我们推导了一个马尔可夫主方程，描述了由非弹性碰撞造成的损失。这产生了一个损失率方程和耗散Lieb-Liniger模型的短时间。在强耗散极限下，得到了双关联函数的解析表达式。数值计算表明发散耗散强度如何导致实际损失率的消失，并使相互作用的附加弹性部分无关紧要。
英文摘要：
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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