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Chin. Phys. B, 2020, Vol. 29(8): 080302    DOI: 10.1088/1674-1056/ab8a3a
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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
Abstract  

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 ħeff. 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.

Keywords:  quantum to classical transition      quantum decoherence      quantum chaos  
Received:  03 March 2020      Revised:  07 April 2020      Published:  05 August 2020
PACS:  03.65.Ta (Foundations of quantum mechanics; measurement theory)  
  05.45.-a (Nonlinear dynamics and chaos)  
  05.45.Mt (Quantum chaos; semiclassical methods)  
Fund: 

Project supported by the National Natural Science Foundation of China (Grant Nos. 11864014 and 11804130).

Corresponding Authors:  Wen-Lei Zhao     E-mail:  wlzhao@jxust.edu.cn

Cite this article: 

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

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