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arXiv:0911.4330

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

Ting Mao, Yu Yang

Published Nov 23, 2009• 0 citations
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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 $\hbar_{eff}$, suggesting the universality for this scaling.

DOI
10.48550/arxiv.0911.4330

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