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

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

2009-11-23

arxiv.org/abs/0911.4330v1

Physics

Quantum Physics

5 pages, 5 figures

Scientific paper

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.

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