title: Parameter scaling in the decoherent quantum-classical transition for chaotic systems.
abstract: The quantum to classical transition for a system depends on many parameters, including a scale length for its action, variant Planck's over 2 pi, a measure of its coupling to the environment, D, and, for chaotic systems, the classical Lyapunov exponent, lambda. We propose measuring the proximity of quantum and classical evolutions as a multivariate function of (Planck's over 2 pi,lambda,D) and searching for transformations that collapse this hypersurface into a function of a composite parameter zeta= Planck's over 2 pi alpha)lambda beta D gamma. We report results for the quantum Cat Map and Duffing oscillator, showing accurate scaling behavior over a wide parameter range, indicating that this may be used to construct universality classes for this transition.
authors.affiliation: Department of Physics, Carleton College, Northfield, Minnesota 55057, USA.
authors.forename: Arjendu K
authors.initials: AK
authors.lastname: Pattanayak
authors.forename: Bala
authors.initials: B
authors.lastname: Sundaram
authors.forename: Benjamin D
authors.initials: BD
authors.lastname: Greenbaum