Loschmidt echo for a chaotic oscillator

Abstract

Chaotic dynamics of a nonlinear oscillator is considered in the semiclassical approximation. The Loschmidt echo is calculated for a time scale which is of the power law in semiclassical parameter. It is shown that an exponential decay of the Loschmidt echo is due to a Lyapunov exponent and it has a pure classical nature.

Submit to PRE

References in corpus (3)

• Semiclassical evaluation of quantum fidelity
• Anomalous power law of quantum reversibility for classically regular dynamics
• Decay of the classical Loschmidt echo in integrable systems

Cited by in corpus (13)

• Dynamics of Loschmidt echoes and fidelity decay
• Decoherence, Entanglement and Irreversibility in Quantum Dynamical Systems with Few Degrees of Freedom
• Uniform Semiclassical Approach to Fidelity Decay: from Weak to Strong Perturbation
• Loschmidt echo for local perturbations: non-monotonous cross-over from the Fermi-golden-rule to the escape-rate regime
• Exploring chaos in Dicke Model using ground state fidelity and Loschmidt echo
• Mesoscopic Fluctuations of the Loschmidt Echo
• Hyperdiffusion of quantum waves in random photonic lattices
• Quantum dephasing and decay of classical correlation functions in chaotic systems
• Entanglement and teleportation via chaotic system
• Chaotic dynamics and spin correlation functions in a chain of nanomagnets
• Lyapunov decay in quantum irreversibility
• Loschmidt echo of local dynamical processes in integrable and non integrable spin chains
• Semiclassical approximation for a nonlinear oscillator with dissipation