Parameter scaling in the decoherent quantum-classical transition for chaotic rf superconducting quantum interference devices

Ting Mao; Yang Yu

doi:10.1103/PhysRevE.81.016212

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Parameter scaling in the decoherent quantum-classical transition for chaotic rf superconducting quantum interference devices

Ting Mao, Yang Yu

DOI 10.1103/PhysRevE.81.016212 · Physical Review E

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Abstract

We numerically investigated the quantum-classical transition in rf-superconducting quantum interference device (SQUID) systems coupled to a dissipative environment. It is found that chaos emerges and the degree of chaos, the maximal Lyapunov exponent λm, exhibits nonmonotonic 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 λm/D. In addition, the scaling holds in SQUID systems to a relatively smaller ℏeff, suggesting the universality for this scaling.