Relaxation to Gaussian generalized Gibbs ensembles in quadratic bosonic systems in the thermodynamic limit

Takaaki Monnai, Shohei Morodome, Kazuya Yuasa

Research output: Contribution to journalArticle

Abstract

Integrable quantum many-body systems are considered to equilibrate to generalized Gibbs ensembles (GGEs) characterized by the expectation values of integrals of motion. We study the dynamics of exactly solvable quadratic bosonic systems in the thermodynamic limit, and show a general mechanism for the relaxation to GGEs, in terms of the diagonal singularity. We show analytically and explicitly that a free bosonic system relaxes from a general (not necessarily Gaussian) initial state under certain physical conditions to a Gaussian GGE. We also show the relaxation to a Gaussian GGE in an exactly solvable coupled system, a harmonic oscillator linearly interacting with bosonic reservoirs.

Original languageEnglish
Article number022105
JournalPhysical Review E
Volume100
Issue number2
DOIs
Publication statusPublished - 2019 Aug 5

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Quadratic Systems
Thermodynamic Limit
Ensemble
thermodynamics
harmonic oscillators
Integrals of Motion
Harmonic Oscillator
Coupled System
Linearly
Singularity

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

Cite this

Relaxation to Gaussian generalized Gibbs ensembles in quadratic bosonic systems in the thermodynamic limit. / Monnai, Takaaki; Morodome, Shohei; Yuasa, Kazuya.

In: Physical Review E, Vol. 100, No. 2, 022105, 05.08.2019.

Research output: Contribution to journalArticle

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