Loschmidt echo in a system of interacting electrons

Abstract

We study the Loschmidt echo for a system of electrons interacting through mean-field Coulomb forces. The electron gas is modeled by a self-consistent set of hydrodynamic equations. It is observed that the quantum fidelity drops abruptly after a time that is proportional to the logarithm of the perturbation amplitude. The fidelity drop is related to the breakdown of the symmetry properties of the wave function.

4 pages, 6 figures, to appear in PRL

References in corpus (7)

• Decoherence, einselection, and the quantum origins of the classical
• Self-consistent fluid model for a quantum electron gas
• Environment-independent decoherence rate in classically chaotic systems
• Golden rule decay versus Lyapunov decay of the quantum Loschmidt echo
• Sensitivity of Quantum Motion for Classically Chaotic Systems
• Measuring the Lyapunov exponent using quantum mechanics
• Echo spectroscopy and quantum stability of trapped atoms

Cited by in corpus (11)

• Loschmidt Echo
• Decoherence, Entanglement and Irreversibility in Quantum Dynamical Systems with Few Degrees of Freedom
• Effective one-body dynamics in multiple-quantum NMR experiments
• Quantum return probability of a system of $N$ non-interacting lattice fermions
• Fidelity decay in trapped Bose-Einstein condensates
• Phase-space structures in quantum-plasma wave turbulence
• Gravitational instability with a dark matter background: Exploring the different scenarios
• Sensitivity to perturbations and quantum phase transitions
• Return probability of $N$ fermions released from a 1D confining potential
• Probing two-particle exchange processes in two-mode Bose-Einstein condensates
• Berry phases for 3D Hartree type equations with a quadratic potential and a uniform magnetic field