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arXiv 2303.12490cond-mat.quant-gascond-mat.stat-mechquant-ph
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耦合一维量子气体中的预热化

Prethermalization in coupled one-dimensional quantum gases

Maciej Łebek, Miłosz Panfil, Robert M. Konik

AI总结:

本研究针对弱耦合一维玻色气体管的稳态形成问题,采用玻尔兹曼碰撞积分方法分析,发现不等价管对中碰撞积分主导阶占优时系统会先形成非热预热化平台,并构建了对应的准守恒量与广义吉布斯系综。

摘要:

我们研究了通过密度-密度相互作用弱耦合的一维玻色气体管中稳态形成的问题。我们采用玻尔兹曼碰撞积分方法分析这一演化过程。我们提出,当碰撞积分的主导阶(在单个气体中产生单粒子-空穴激发的阶次)占优时,气体状态会先演化到非热不动点,即预热化平台。当一对管不等价(例如具有不同温度或不同有效相互作用参数$γ$)时,该阶次占主导地位。我们表征了这一非热预热化平台,构建了控制该平台存在的准守恒量以及相关的广义吉布斯系综。

英文摘要:

We consider the problem of the development of steady states in one-dimensional Bose gas tubes that are weakly coupled to one another through a density-density interaction. We analyze this development through a Boltzmann collision integral approach. We argue that when the leading order of the collision integral, where single particle-hole excitations are created in individual gases, is dominant, the state of the gas evolves first to a non-thermal fixed point, i.e. a prethermalization plateau. This order is dominant when a pair of tubes are inequivalent with, say, different temperatures or different effective interaction parameters, $γ$. We characterize this non-thermal prethermalization plateau, constructing both the quasi-conserved quantities that control the existence of this plateau as well as the associated generalized Gibbs ensemble.

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