Quantum to classical transition induced by a classically small influence

doi:10.1088/1674-1056/ab8a3a

中国物理B ›› 2020, Vol. 29 ›› Issue (8): 80302-080302.doi: 10.1088/1674-1056/ab8a3a

Quantum to classical transition induced by a classically small influence

Wen-Lei Zhao(赵文垒), Quanlin Jie(揭泉林)

1 School of Science, Jiangxi University of Science and Technology, Ganzhou 341000, China;
2 Department of Physics, Wuhan University, Wuhan 430072, China

收稿日期:2020-03-03 修回日期:2020-04-07 出版日期:2020-08-05 发布日期:2020-08-05
通讯作者: Wen-Lei Zhao E-mail:wlzhao@jxust.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11864014 and 11804130).

Quantum to classical transition induced by a classically small influence

Wen-Lei Zhao(赵文垒)¹, Quanlin Jie(揭泉林)²

1 School of Science, Jiangxi University of Science and Technology, Ganzhou 341000, China;
2 Department of Physics, Wuhan University, Wuhan 430072, China

Received:2020-03-03 Revised:2020-04-07 Online:2020-08-05 Published:2020-08-05
Contact: Wen-Lei Zhao E-mail:wlzhao@jxust.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11864014 and 11804130).

摘要/Abstract

摘要：

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 constant ħ_eff. 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.

关键词: quantum to classical transition, quantum decoherence, quantum chaos

Abstract:

Key words: quantum to classical transition, quantum decoherence, quantum chaos

中图分类号: (Foundations of quantum mechanics; measurement theory)

03.65.Ta

05.45.-a (Nonlinear dynamics and chaos) 05.45.Mt (Quantum chaos; semiclassical methods)

赵文垒, 揭泉林. Quantum to classical transition induced by a classically small influence[J]. 中国物理B, 2020, 29(8): 80302-080302.

Wen-Lei Zhao(赵文垒), Quanlin Jie(揭泉林). Quantum to classical transition induced by a classically small influence[J]. Chin. Phys. B, 2020, 29(8): 80302-080302.

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Quantum to classical transition induced by a classically small influence

Quantum to classical transition induced by a classically small influence

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