Quantum to classical transition induced by a classically small influence

Quantum to classical transition induced by a classically small influence
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由经典的小影响引起的量子到经典的转变

DOI:
10.1088/1674-1056/ab8a3a
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发表时间:
2020-07
期刊:
影响因子:
1.7
通讯作者:
Jie Quanlin
Jie Quanlin
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Zhao Wen-Lei;Jie Quanlin

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我们通过周期性踢动粒子系统研究了由两粒子相互作用引起的量子到经典跃迁。粒子1的质量比粒子2大得多时,粒子1的经典动力学几乎不受影响。有趣的是,这种经典的弱影响导致粒子1的动力学行为从量子到经典的转变。即随着有效普朗克常数的减小,该粒子的量子扩散经历了从动态局域化到经典混沌扩散的转变。背后的物理是由于系统中纠缠的增长。在外自由度经典动力学为强混沌的条件下,经典极弱相互作用导致了纯度的指数衰减。
We investigate the quantum to classical transition induced by two-particle interaction via a system of periodically kicked particles. The classical dynamics of particle 1 is almost unaffected in condition that its mass is much larger than that of particle 2. Interestingly, such classically weak influence leads to the quantum to classical transition of the dynamical behavior of particle 1. Namely, the quantum diffusion of this particle undergoes the transition from dynamical localization to the classically chaotic diffusion with the decrease of the effective Planck constantPLANCK CONSTANT OVER TWO PIeff. The behind physics is due to the growth of entanglement in the system. The classically very weak interaction leads to the exponential decay of purity in condition that the classical dynamics of external degrees freedom is strongly chaotic.
DOI: 10.1103/physreve.61.7223
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