论文标题

放松时间近似的不可整合系统的流体动力学

Hydrodynamics of nonintegrable systems from a relaxation-time approximation

论文作者

Lopez-Piqueres, Javier, Ware, Brayden, Gopalakrishnan, Sarang, Vasseur, Romain

论文摘要

我们开发了一个通用的动力学理论框架,以描述强烈相互作用的非平衡量子系统的流体动力学,其中一体式量子性较弱,剩下一些残留的保守量。该框架基于广义的松弛时间近似;它提供了一种简单但令人惊讶的准确的处方,即使在牢固的相互作用系统中,也可以计算非平衡传输。这种近似在相互作用的一维叶气体中,从有或没有动量保护的情况下,从概括性到常规流体动力学的跨界转移到常规流体动力学。它还可以预测混沌量子自旋链的流体动力学,与矩阵产品运营商的计算很好。

We develop a general kinetic theory framework to describe the hydrodynamics of strongly interacting, nonequilibrium quantum systems in which integrability is weakly broken, leaving a few residual conserved quantities. This framework is based on a generalized relaxation-time approximation; it gives a simple, but surprisingly accurate, prescription for computing nonequilibrium transport even in strongly interacting systems. This approximation reproduces the crossover from generalized to conventional hydrodynamics in interacting one-dimensional Bose gases with integrability-breaking perturbations, both with and without momentum conservation. It also predicts the hydrodynamics of chaotic quantum spin chains, in good agreement with matrix product operator calculations.

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