Lyapunov generation of entanglement and the correspondence principle
Lyapunov generation of entanglement and the correspondence principle
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DOI：
10.1103/physrevlett.97.194103
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发表时间：
2006-11-10
影响因子：
8.6
通讯作者：
Jacquod, Ph.
中科院分区：
文献类型：
--
作者：
Petitjean, C.;Jacquod, Ph.
我们展示了经典消失的相互作用如何在两个初始非纠缠粒子之间产生纠缠，而不影响它们的经典动力学。对于混沌动力学，纠缠的速率被证明是饱和的经典动力学的李雅普诺夫指数的相互作用强度的增加。在饱和状态下，单粒子维格纳函数随着在半经典极限中的深入而越来越好地遵循经典动力学。这表明，在微观水平上的量子-经典对应不需要耦合到大量的外部自由度。
We show how a classically vanishing interaction generates entanglement between two initially nonentangled particles, without affecting their classical dynamics. For chaotic dynamics, the rate of entanglement is shown to saturate at the Lyapunov exponent of the classical dynamics as the interaction strength increases. In the saturation regime, the one-particle Wigner function follows classical dynamics better and better as one goes deeper and deeper in the semiclassical limit. This demonstrates that quantum-classical correspondence at the microscopic level does not require coupling to a large number of external degrees of freedom.