2004/10/19 by F. Toscano, R. L. de Matos Filho, L. Davidovich · 1 citation
Physics and Astronomy · #quant-ph #nlin.CD #physics.class-ph
paper · pdf · doi:10.1103/physreva.71.010101
published as Phys. Rev. A 71, 010101(R) (2005) (4 pages) · 5 pages, 4 figures (in 6 postscript files) two of them are color figures
arxiv created 2004/10/19 · arxiv updated 2009/12/01
We investigate how decoherence affects the short-time separation between quantum and classical dynamics for classically chaotic systems, within the framework of a specific model. For a wide range of parameters, the distance between the corresponding phase-space distributions depends on a single parameter χ that relates an effective Planck constant ℏ\rm eff, the Lyapunov coeffficient, and the diffusion constant. This distance peaks at a time that depends logarithmically on ℏ\rm eff, in agreement with previous estimations of the separation time for Hamiltonian systems. However, for χ\lesssim 1, the separation remains small, going down with ℏ\rm eff2, so the concept of separation time loses its meaning.