The classical skeleton of open quantum chaotic maps
arXiv:1108.3319 · doi:10.1016/j.physd.2011.08.006
Abstract
We have studied two complementary decoherence measures purity and fidelity for a generic diffusive noise in two different chaotic systems (the baker and the cat maps). For both quantities, we have found classical structures in quantum mechanics - the scar functions - that are specially stable when subjected to environmental perturbations. We show that these quantum states constructed on classical invariants are the most robust significant quantum distributions in generic dissipative maps.
10 pages, 6 figures, accepted in Physica D
References in corpus (6)
- Decoherence, Entanglement and Irreversibility in Quantum Dynamical Systems with Few Degrees of Freedom
- WKB Propagation of Gaussian Wavepackets
- Semiclassical Theory of Time-Reversal Focusing
- Lyapunov Decoherence Rate in Classically Chaotic Systems
- Semi-classical Scar functions in phase space
- Stable classical structures in dissipative quantum chaotic systems