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arXiv 1802.02807quant-ph
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量子系统的经典演化

Classical evolution in quantum systems

J. Sperling, I. A. Walmsley

摘要:

我们研究一般系统演化中的量子效应。为了研究这种时间量子现象,首先必须对这种系统中的经典动力学有一个严格的概念和深刻的理解。基于这个原因,我们从第一原理推导出描述量子系统中经典传播的运动方程。这个经典模型与实际的时间量子行为的比较,使我们能够识别系统的动态量子现象,并区分它们与静态量子特征在各个时间点。例如,我们展示了牛顿第二定律如何作为我们一般处理的特例出现,将其与薛定谔方程联系起来。作为我们的通用技术的应用,我们分析了非线性光学过程,半经典模型,和宏观系综的多体纠缠动力学。

英文摘要:

We investigate quantum effects in the evolution of general systems. For studying such temporal quantum phenomena, it is paramount to have a rigorous concept and profound understanding of the classical dynamics in such a system in the first place. For this reason, we derive from first principles equations of motions that describe the classical propagation in quantum systems. A comparison of this classical model with the actual temporal quantum behavior enables us to identify quantum phenomena in the system's dynamics and distinguish them from static quantum features at individual points in time. For instance, we show how Newton's second law emerges as a special case of our general treatment, connecting it to a Schrödinger-type equation. As applications of our universal technique, we analyze nonlinear optical processes, semiclassical models, and the multipartite entanglement dynamics of macroscopic ensembles.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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