Hydrodynamics of nonintegrable systems from a relaxation-time approximation
Hydrodynamics of nonintegrable systems from a relaxation-time approximation
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DOI：
10.1103/physrevb.103.l060302
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发表时间：
2020-05
影响因子：
3.7
通讯作者：
Javier Lopez-Piqueres;Brayden Ware;S. Gopalakrishnan;R. Vasseur
中科院分区：
文献类型：
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作者：
Javier Lopez-Piqueres;Brayden Ware;S. Gopalakrishnan;R. Vasseur
我们开发了一个通用的动力学理论框架来描述强相互作用的非平衡量子系统的流体力学，其中可积性被弱破坏，留下一些剩余的守恒量。这个框架是基于广义弛豫时间近似，它给出了一个简单的，但令人惊讶的准确，处方计算非平衡运输，即使在强相互作用系统。这种近似再现的交叉广义到传统的流体动力学在相互作用的一维玻色气体的可积性破坏扰动，无论有和没有动量守恒。它还预测了混沌量子自旋链的流体动力学，与矩阵乘积算子计算结果吻合得很好。
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.