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Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform

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Thermalization and quantum correlations in exactly solvable models.

Miguel A Cazalilla¹, Anibal Iucci, Ming-Chiang Chung

¹Centro de Física de Materiales CSIC-UPV/EHU, Paseo Manuel de Lardizabal 5, E-20018 San Sebastian, Spain.

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

|March 10, 2012

Summary

This summary is machine-generated.

The generalized Gibbs ensemble is linked to nonergodic sampling of quantum correlations after a quench. This nonergodicity analytically implies the ensemble

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Area of Science:

Quantum physics
Statistical mechanics

Background:

Exactly solvable systems are crucial for understanding quantum dynamics.
Quantum quenches probe system evolution after a rapid change.

Purpose of the Study:

To establish a connection between nonergodic sampling and the generalized Gibbs ensemble.
To analytically demonstrate this equivalence in various quantum systems.

Main Methods:

Analysis of operator sampling in the infinite time limit after a quantum quench.
Analytical derivation of the equivalence for specific models.

Main Results:

Nonergodic sampling of quantum correlations analytically implies the generalized Gibbs ensemble.
Equivalence demonstrated for quantum Ising and XX spin chains, and the Luttinger model.
Broad applicability to various initial states and correlation functions.

Conclusions:

Nonergodicity is the key to understanding the generalized Gibbs ensemble in these systems.
The findings provide a deeper insight into quantum correlations and statistical ensembles.