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Trapping of Micro Particles in Nanoplasmonic Optical Lattice

Trapping of Micro Particles in Nanoplasmonic Optical Lattice

Published on: September 5, 2017

Generalized thermalization in an integrable lattice system.

Amy C Cassidy¹, Charles W Clark, Marcos Rigol

¹Joint Quantum Institute, National Institute of Standards and Technology, Gaithersburg, Maryland 20899, USA.

Physical Review Letters

|May 13, 2011

Summary

This summary is machine-generated.

Observables in integrable systems may not reach thermal values after a quench, but can relax to generalized Gibbs ensemble (GGE) predictions. This study justifies GGE using a generalized eigenstate thermalization hypothesis and validates it with numerical simulations.

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Area of Science:

Quantum mechanics
Statistical mechanics
Condensed matter physics

Background:

Integrable systems can exhibit non-thermal relaxation after a quench.
The generalized Gibbs ensemble (GGE) predicts these non-thermal values.
The theoretical basis for GGE's success remains incompletely understood.

Purpose of the Study:

To introduce a microcanonical version of the GGE.
To justify the GGE by generalizing the eigenstate thermalization hypothesis (ETH).
To explain thermalization in integrable systems.

Main Methods:

Developing a microcanonical GGE.
Generalizing the ETH for integrable systems.
Performing exact numerical calculations for one-dimensional hard-core bosons in optical lattices.

Main Results:

The proposed microcanonical GGE provides a framework for understanding non-thermal relaxation.
The generalized ETH successfully justifies the predictions of the GGE.
Numerical simulations for up to 10 particles on 50 sites validate the theoretical approach.

Conclusions:

The generalized eigenstate thermalization hypothesis offers a robust explanation for GGE predictions in integrable systems.
This work bridges the understanding of thermalization in both integrable and nonintegrable systems.
The findings are numerically validated for a realistic physical system.