Physics – Quantum Physics
Scientific paper
2004-10-19
Phys. Rev. A 71, 010101(R) (2005) (4 pages)
Physics
Quantum Physics
5 pages, 4 figures (in 6 postscript files) two of them are color figures
Scientific paper
10.1103/PhysRevA.71.010101
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 $\chi$ that relates an effective Planck constant $\hbar_{\rm eff}$, the Lyapunov coeffficient, and the diffusion constant. This distance peaks at a time that depends logarithmically on $\hbar_{\rm eff}$, in agreement with previous estimations of the separation time for Hamiltonian systems. However, for $\chi\lesssim 1$, the separation remains small, going down with $\hbar_{\rm eff}^2$, so the concept of separation time loses its meaning.
Davidovich Luiz
Matos Filho Ruynet L. de
Toscano Fabricio
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