The entanglement production in bipartite quantum systems is studied for initially unentangled product eigenstates of the subsystems, which are assumed to be quantum chaotic. Based on a perturbative computation of the Schmidt eigenvalues of the reduced density matrix, explicit expressions for the time-dependence of entanglement entropies, including the von Neumann entropy, are given. An appropriate rescaling of time and the entropies by their saturation values leads a universal curve, independent of the interaction. The extension to the nonperturbative regime is performed using a recursively embedded perturbation theory to produce the full transition and the saturation values. The analytical results are found to be in good agreement with numerical results for random matrix computations and a dynamical system given by a pair of coupled kicked rotors.

中文翻译：

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通过量子混沌子系统的相互作用猝灭产生纠缠

研究了二分量子系统中的纠缠产生，以研究子系统的初始未纠缠本征态，假定它们是量子混沌的。基于对折算密度矩阵的Schmidt特征值的微扰计算，给出了包括von Neumann熵在内的纠缠熵随时间的显式表达式。时间和熵的饱和度值的适当重新缩放会导致一条通用曲线，而与相互作用无关。使用递归嵌入的微扰理论对非微扰状态进行扩展，以产生完整的跃迁和饱和度值。发现分析结果与随机矩阵计算的数值结果和由一对耦合的反冲转子给出的动力学系统非常吻合。