Spectral properties and classical decays in quantum open systems
arXiv:nlin/0312062 · doi:10.1103/PhysRevE.69.056211
Abstract
We study the relationship between the spectral properties of diffusive open quantum maps and the classical spectrum of Ruelle-Pollicott resonances. The leading resonances determine the asymptotic time regime for several quantities of interest - the linear entropy, the Loschmidt echo and the correlations of the initial state. A numerical method that allow an efficient calculation of the leading spectrum is developed using a truncated basis adapted to the dynamics.
14 pages, 8 figures. submitted to PRE. Typos corrected. Refferences added. Fig 5 corrected. Some changes following refferees' sugestions made
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- Pure State Correlations: Chords in Phase Space
- Entanglement-screening by nonlinear resonances
- Resonance-assisted decay of nondispersive wave packets
- Fraudulent White Noise: Flat power spectra belie arbitrarily complex processes
- Theory of Irreversibility in Quantum Many-Body Systems
- Phase space contraction and quantum operations
- Ruelle-Pollicott Decay of Out-of-Time-Order Correlators in Many-Body Systems
- Symmetry Properties of Quantum Dynamical Entropy
- Irreversibility in quantum maps with decoherence
- Relaxation Time of Quantized Toral Maps
- Coarse Grained Liouville Dynamics of piecewise linear discontinuous maps