title: Parameter scaling in the decoherent quantum-classical transition for chaotic rf superconducting quantum interference devices.
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 lambda(m), 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 lambda(m)/D. In addition, the scaling holds in SQUID systems to a relatively smaller variant Planck's over [symbol: see text], suggesting the universality for this scaling.
authors.affiliation: National Laboratory of Solid State Microstructures, Department of Physics, Nanjing University, Nanjing, China.
authors.forename: Ting
authors.initials: T
authors.lastname: Mao
authors.forename: Yang
authors.initials: Y
authors.lastname: Yu