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Many-Particle Dephasing after a Quench.

Thomas Kiendl^1,2, Florian Marquardt^2,3

¹Dahlem Center for Complex Quantum Systems and Institut für Theoretische Physik, Freie Universität Berlin, 14195, Berlin, Germany.

Physical Review Letters

|April 15, 2017

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Temporal fluctuations in quantum many-body systems are suppressed in nonintegrable models. We analytically predict this suppression in the transverse Ising chain via many-particle dephasing, even before quasiparticle relaxation.

Area of Science:

Quantum Many-Body Physics
Statistical Mechanics
Condensed Matter Theory

Background:

Quantum many-body systems exhibit relaxation of expectation values towards long-time averages after a quench.
Temporal fluctuations persist in the long-time limit, necessitating study of their suppression with increasing system size.
Analytical predictions for nonintegrable models, crucial for understanding quantum dynamics, have been limited to numerics and bounds.

Purpose of the Study:

To derive analytical predictions for temporal fluctuations in a nonintegrable quantum many-body model.
To investigate the mechanism behind fluctuation suppression in the presence of weak integrability breaking.

Main Methods:

Analysis of the transverse Ising chain with additional terms, a representative nonintegrable model.

Related Experiment Videos

Identification of a 'many-particle dephasing' dynamical regime.

Derivation of analytical predictions based on this identified regime.

Main Results:

Analytical predictions for temporal fluctuations in the studied nonintegrable model are successfully derived.
The 'many-particle dephasing' regime is identified as a key mechanism for fluctuation suppression.
Fluctuations are shown to be suppressed exponentially by weak integrability breaking, even before full quasiparticle relaxation.

Conclusions:

This work provides the first analytical predictions for temporal fluctuations in a relevant nonintegrable model.
The 'many-particle dephasing' mechanism offers a new understanding of quantum dynamics and fluctuation suppression.
The findings bridge the gap between numerical and analytical approaches in studying quantum many-body systems.