Displacement Echoes: Classical Decay and Quantum Freeze

Abstract

Motivated by neutron scattering experiments, we investigate the decay of the fidelity with which a wave packet is reconstructed by a perfect time-reversal operation performed after a phase space displacement. In the semiclassical limit, we show that the decay rate is generically given by the Lyapunov exponent of the classical dynamics. For small displacements, we additionally show that, following a short-time Lyapunov decay, the decay freezes well above the ergodic value because of quantum effects. Our analytical results are corroborated by numerical simulations.

References in corpus (1)

• Dynamics of Loschmidt echoes and fidelity decay

Cited by in corpus (15)

• Decoherence, Entanglement and Irreversibility in Quantum Dynamical Systems with Few Degrees of Freedom
• Wavepacket dynamics in energy space of a chaotic trimeric Bose-Hubbard system
• Relation of exact Gaussian basis methods to the dephasing representation: Theory and application to time-resolved electronic spectra
• Observation of coherence revival and fidelity saturation in a delta-kicked rotor potential
• Dephasing in quantum chaotic transport: a semiclassical approach
• Complexity of Quantum States and Reversibility of Quantum Motion
• Beating the efficiency of both quantum and classical simulations with semiclassics
• Improving the accuracy and efficiency of time-resolved electronic spectra calculations: Cellular dephasing representation with a prefactor
• Engineering fidelity echoes in Bose-Hubbard Hamiltonians
• Path integral approach to the quantum fidelity amplitude
• Spinor matterwave control with nanosecond spin-dependent kicks
• How Well a Chaotic Quantum System Can Retain Memory of Its Initial State?
• Breaking the exponential wall in classical simulations of fidelity
• Long-Time Coherence in Echo Spectroscopy with $\pi /2$--$\pi$--$\pi /2$ Pulse Sequence
• Atom interferometry using wavepackets with constant spatial displacements