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Universality in the tripartite information after global quenches: spin flip and semilocal charges

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arxiv 2307.01842 v2 pith:FDQL4X5V submitted 2023-07-04 cond-mat.stat-mech hep-thquant-ph

Universality in the tripartite information after global quenches: spin flip and semilocal charges

classification cond-mat.stat-mech hep-thquant-ph
keywords decaystatestationarycorrelationsinformationtripartitealgebraicexponential
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study stationary states emerging after global quenches in which the time evolution is under local Hamiltonians that possess semilocal conserved operators. In particular, we study a model that is dual to quantum XY chain. We show that a localized perturbation in the initial state can turn an exponential decay of spatial correlations in the stationary state into an algebraic decay. We investigate the consequences on the behavior of the (R\'enyi-$\alpha$) entanglement entropies, focusing on the tripartite information of three adjacent subsystems. In the limit of large subsystems, we show that in the stationary state with the algebraic decay of correlations the tripartite information exhibits a non-zero value with a universal dependency on the cross ratio, while it vanishes in the stationary state with the exponential decay of correlations.

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  1. Temperature Beyond Equilibrium in Isolated Quantum Many-Body Systems and Their Subsystems

    quant-ph 2026-07 conditional novelty 8.0

    A nonequilibrium temperature is defined as the coordinate of a canonical pseudolocal flow on leaves of fixed energy coherence in the state space of isolated quantum spin chains.