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Parameter Scaling in the Decoherent Quantum-Classical Transition for
Mao Ting #,Yu Yang *
NLSSM and Department of Physics, Nanjing University
*Correspondence author
#Submitted by
Subject:
Funding: 国家自然科学基金,国家重点基础研究项目基金,国家教育部博士点基金（No.10674062,10725415,2006CB921801,20060284022）
Opened online:30 December 2009
Accepted by: none
Citation: Mao Ting ,Yu Yang .Parameter Scaling in the Decoherent Quantum-Classical Transition for[OL]. [30 December 2009] http://en.paper.edu.cn/en_releasepaper/content/38281
 
 
We numerically investigated the quantum-classical transition in rf-SQUID systems coupled to a dissipative environment. It is found that chaos emerges and the degree of chaos, the maximal Lyapunov exponent Lambda_m, exhibits non-monotonic behavior as a function of the coupling strength D. By measuring the proximity of quantum and classical evolution with the uncertainty of dynamics, we show that the uncertainty is a monotonic function of Lambda_m/D. In addition, the scaling holds in SQUID systems to a relatively smaller hbar_eff, suggesting the universality for this scaling.
Keywords:quantum-classical transition;chaos;uncertainty;parameter scaling
 
 
 

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