Quantum Fidelity Decay of Quasi-Integrable Systems

Abstract

We show, via numerical simulations, that the fidelity decay behavior of quasi-integrable systems is strongly dependent on the location of the initial coherent state with respect to the underlying classical phase space. In parallel to classical fidelity, the quantum fidelity generally exhibits Gaussian decay when the perturbation affects the frequency of periodic phase space orbits and power-law decay when the perturbation changes the shape of the orbits. For both behaviors the decay rate also depends on initial state location. The spectrum of the initial states in the eigenbasis of the system reflects the different fidelity decay behaviors. In addition, states with initial Gaussian decay exhibit a stage of exponential decay for strong perturbations. This elicits a surprising phenomenon: a strong perturbation can induce a higher fidelity than a weak perturbation of the same type.

11 pages, 11 figures, to be published Phys. Rev. E

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Cited by in corpus (16)

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• Loschmidt Echo
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• Generalized Entanglement as a Natural Framework for Exploring Quantum Chaos
• Stability of quantum motion in regular systems: a uniform semiclassical approach
• General relaxation time of the fidelity for isolated quantum thermodynamic systems
• Decay of the Loschmidt echo in a time-dependent environment
• The Effects of Symmetries on Quantum Fidelity Decay
• On the origin of the exponential decay of the Loschmidt echo in integrable systems
• Quantum non-Markovian behavior at the chaos border
• Stability of Fock states in a two-component Bose-Einstein condensate with a regular classical counterpart
• Fidelity of the near resonant quantum kicked rotor
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• Quantum dynamics of Gaudin magnets
• Sensitivity of Quantum Motion to Perturbation in Triangle Map