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Related Experiment Video

Updated: Jun 14, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

Published on: December 4, 2017

Dynamics after a sweep through a quantum critical point.

Frank Pollmann¹, Subroto Mukerjee, Andrew G Green

¹Department of Physics, University of California, Berkeley, California 94720, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|April 7, 2010

Summary

This summary is machine-generated.

This study explores quantum systems evolving through critical points, revealing unique scaling behaviors and power-law relaxation. The final state defies thermal characterization, with distinct dynamics observed in integrable versus nonintegrable regimes.

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Last Updated: Jun 14, 2026

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Area of Science:

Quantum physics
Many-particle systems
Condensed matter theory

Background:

Studying quantum systems after traversing critical points is crucial for understanding non-equilibrium dynamics.
Previous work identified universal power laws in excitation creation rates.

Purpose of the Study:

Investigate the coherent quantum evolution of a 1D many-particle system through a critical point.
Explore phenomena beyond average quantities like excitation number.

Main Methods:

Utilized a generalized quantum Ising model.
Analyzed both integrable and nonintegrable regimes.
Examined entanglement entropy, relaxation dynamics, and the Loschmidt echo.

Main Results:

Identified two distinct scaling behaviors for entanglement entropy.
Observed power-law relaxation in time, deviating from exponential decay.
Found the final state is not characterized by effective temperature.
Loschmidt echo converges algebraically, exhibiting broadened cusplike singularities in nonintegrable cases.

Conclusions:

Coherent quantum evolution through critical points exhibits rich, non-trivial dynamics.
Entanglement entropy and relaxation show complex scaling and temporal behavior.
Nonintegrable perturbations significantly alter the dynamics and final state properties.