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This research investigates the dynamical correlations within non-thermal equilibrium states following a quantum quench in the Lieb-Liniger model, revealing a novel dispersion branch distinct from standard thermal equilibrium. By combining quench action with form factor approaches, the study identifies how algebraic decaying tails in root density distributions govern these spectral properties, suggesting a broader class of such states. These findings advance fundamental understanding of integrable quantum systems and their relaxation dynamics without immediate commercial application.
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Dynamical Correlation of the Post-quench Non-thermal Equilibrium State

arXiv2 min read

arXiv:2601.06987v2 Announce Type: replace Abstract: After a quantum quench, the integrable system is expected to relax to a non-thermal equilibrium state (NTES) whose local properties are believed to be governed by a generalized Gibbs ensemble (GGE). Combining quench action and the form factor approach, we compute the field-field correlation in the NTES produced by an interaction quench of the Lieb-Liniger model. The spectral distribution is shown to be qualitatively different from that of a thermal equilibrium state (TES): a new dispersion branch appears whose microscopic mechanism can be traced to the algebraic decaying tail for the root density distribution function, and indicates the existence of a broader family of NTES featuring similar spectral property.

Abstract:After a quantum quench, the integrable system is expected to relax to a non-thermal equilibrium state (NTES) whose local properties are believed to be governed by a generalized Gibbs ensemble (GGE). Combining quench action and the form factor approach, we compute the field-field correlation in the NTES produced by an interaction quench of the Lieb-Liniger model. The spectral distribution is shown to be qualitatively different from that of a thermal equilibrium state (TES): a new dispersion branch appears whose microscopic mechanism can be traced to the algebraic decaying tail for the root density distribution function, and indicates the existence of a broader family of NTES featuring similar spectral property.

Quantum Physics (quant-ph); Quantum Gases (cond-mat.quant-gas); Statistical Mechanics (cond-mat.stat-mech)

arXiv:2601.06987 [quant-ph]

(or arXiv:2601.06987v2 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2601.06987 Focus to learn more arXiv-issued DOI via DataCite

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Full text under the publisher's open licence · 207 words

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