Quantum freeze of fidelity decay for chaotic dynamics

Abstract

We show that the mechanism of quantum freeze of fidelity decay for perturbations with zero time-average, recently discovered for a specific case of integrable dynamics [New J. Phys. 5 (2003) 109], can be generalized to arbitrary quantum dynamics. We work out explicitly the case of chaotic classical counterpart, for which we find semi-classical expressions for the value and the range of the plateau of fidelity. After the plateau ends, we find explicit expressions for the asymptotic decay, which can be exponential or Gaussian depending on the ratio of the Heisenberg time to the decay time. Arbitrary initial states can be considered, e.g. we discuss coherent states and random states.

4 pages, 3 ps figures ; v2 corrected mistake in formula for t_2

References in corpus (3)

• Quantum freeze of fidelity decay for a class of integrable dynamics
• Faster than Lyapunov decays of classical Loshcmidt echo
• Estimating purity in terms of correlation functions

Cited by in corpus (19)

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• Pointer States via Engineered Dissipation
• Anomalous slow fidelity decay for symmetry breaking perturbations
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• Loschmidt echoes in two-body random matrix ensembles
• Fidelity and level correlations in the transition from regularity to chaos
• Fidelity decay in interacting two-level boson systems: Freezing and revivals
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• Probing two-particle exchange processes in two-mode Bose-Einstein condensates