Prethermalization and Thermalization in Models with Weak Integrability Breaking
Prethermalization and Thermalization in Models with Weak Integrability Breaking
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DOI：
10.1103/physrevlett.115.180601
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发表时间：
2015-10-29
影响因子：
8.6
通讯作者：
Robinson, Neil J.
中科院分区：
文献类型：
--
作者：
Bertini, Bruno;Essler, Fabian H. L.;Robinson, Neil J.
研究了可积性破缺微扰对多粒子量子系统非平衡演化的影响。本文研究了一类具有弱相互作用的无自旋费米子模型。我们采用的运动方程的技术，可以被视为量子玻尔兹曼方程的概括。我们将我们的方法与时间相关密度矩阵重整化群计算进行基准测试，发现只要相互作用较弱，它就非常准确。对于小的可积性破坏，我们观察到强大的预热化高原上的所有可访问的时间尺度上的本地观测。增加强度的可积性破坏长期诱导的“漂移”远离预热化平台的热行为。我们确定了一个时间尺度表征这种交叉。
We study the effects of integrability-breaking perturbations on the nonequilibrium evolution of manyparticle quantum systems. We focus on a class of spinless fermion models with weak interactions. We employ equation of motion techniques that can be viewed as generalizations of quantum Boltzmann equations. We benchmark our method against time-dependent density matrix renormalization group computations and find it to be very accurate as long as interactions are weak. For small integrability breaking, we observe robust prethermalization plateaux for local observables on all accessible time scales. Increasing the strength of the integrability-breaking term induces a "drift" away from the prethermalization plateaux towards thermal behavior. We identify a time scale characterizing this crossover.