Thermalization of a strongly interacting closed spin system: from coherent many-body dynamics to a Fokker-Planck equation.
Thermalization of a strongly interacting closed spin system: from coherent many-body dynamics to a Fokker-Planck equation.
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DOI：
10.1103/physrevlett.108.110603
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发表时间：
2011-08
影响因子：
8.6
通讯作者：
C. Ates;J. P. Garrahan;Igor Lesanovsky
中科院分区：
文献类型：
--
作者：
C. Ates;J. P. Garrahan;Igor Lesanovsky
热化已经被证明发生在一些封闭的量子多体系统中，但实际热化动力学的描述是非常复杂的。在这里，我们提出了一个模型，在一个和两个维度，我们可以分析表明，演化到热平衡是由一个福克-普朗克方程来自底层的量子动力学。我们的方法不依赖于弱耦合浴和系统自由度的正式区分。结果表明，窄能量壳层内的跃迁导致由熵主导的动力学，并建立详细的平衡条件，确定最终的平衡态和非平衡弛豫。
Thermalization has been shown to occur in a number of closed quantum many-body systems, but the description of the actual thermalization dynamics is prohibitively complex. Here, we present a model-in one and two dimensions-for which we can analytically show that the evolution into thermal equilibrium is governed by a Fokker-Planck equation derived from the underlying quantum dynamics. Our approach does not rely on a formal distinction of weakly coupled bath and system degrees of freedom. The results show that transitions within narrow energy shells lead to a dynamics which is dominated by entropy and establishes detailed balance conditions that determine both the eventual equilibrium state and the nonequilibrium relaxation to it.