Parameter Scaling in the Decoherent Quantum-Classical Transition for chaotic rf-SQUIDs

2009/11/23 by Ting Mao, Yu Yang, Yang Yu +2
Physics and Astronomy · #Chaos control and synchronization #FOS: Physical sciences #Quantum Physics (quant-ph) #Quantum chaos and dynamical systems #Theoretical and Computational Physics #quant-ph

paper · pdf · doi:10.48550/arxiv.0911.4330

5 pages, 5 figures

arxiv created 2009/11/23 · openalex publication_date 2009/11/23 · arxiv updated 2009/12/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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 λ_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 λ_m/D. In addition, the scaling holds in SQUID systems to a relatively smaller ℏ_eff, suggesting the universality for this scaling.

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