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Related Experiment Video

Updated: Jul 18, 2026

Neutron Spin Echo Spectroscopy as a Unique Probe for Lipid Membrane Dynamics and Membrane-Protein Interactions

Neutron Spin Echo Spectroscopy as a Unique Probe for Lipid Membrane Dynamics and Membrane-Protein Interactions

Published on: May 27, 2021

Loschmidt echo in a system of interacting electrons.

G Manfredi¹, P-A Hervieux

¹Institut de Physique et Chimie des Matériaux de Strasbourg, UMR 7504 ULP-CNRS, 23 Rue du Loess, BP 43, F-67034 Strasbourg Cedex 2, France. giovanni_manfredi@ipcms.u-strasbg.fr

Physical Review Letters

|December 13, 2006

Summary

We investigated the Loschmidt echo in electron systems. Quantum fidelity drops abruptly due to symmetry breakdown, linked to perturbation amplitude.

Area of Science:

Quantum mechanics
Condensed matter physics
Plasma physics

Background:

The Loschmidt echo measures the sensitivity of quantum systems to perturbations.
Electron gases interacting via Coulomb forces are fundamental in many physical systems.
Understanding fidelity decay is crucial for quantum information and quantum chaos.

Purpose of the Study:

To analyze the Loschmidt echo in an electron gas with mean-field Coulomb interactions.
To investigate the relationship between perturbation amplitude and quantum fidelity.
To explore the underlying mechanisms causing fidelity loss.

Main Methods:

Modeling the electron gas using a self-consistent set of hydrodynamic equations.
Calculating the Loschmidt echo and quantum fidelity.

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Analyzing the time evolution of the system's wave function.

Main Results:

A sharp drop in quantum fidelity was observed.
The time of fidelity drop is proportional to the logarithm of the perturbation amplitude.
The fidelity drop is directly related to the breakdown of wave function symmetry properties.

Conclusions:

The Loschmidt echo in this system exhibits a characteristic fidelity drop.
Perturbation amplitude significantly influences the timescale of quantum decoherence.
Symmetry breaking of the wave function is the key mechanism behind fidelity loss.