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This research establishes a rigorous transport interpretation for entanglement Hamiltonian cumulants in interacting integrable models following global quantum quenches. By linking these dynamics directly to the currents of conserved charges, the study unifies descriptions of entanglement fluctuations across free, conformal, and interacting systems without relying on quasiparticle decompositions. This theoretical advance deepens our understanding of non-equilibrium quantum dynamics and the fundamental relationship between transport phenomena and entanglement growth.
Transport interpretation of entanglement Hamiltonian cumulants in integrable quantum quenches
arXiv:2608.24613v1 Announce Type: cross Abstract: We study the dynamics of the cumulants of the entanglement Hamiltonian in interacting integrable models following global quantum quenches. Building on recent results based on space-time duality, we show that these cumulants are exactly given by the cumulants of currents of suitable conserved charges evaluated in the macrostate selected by the initial state. This establishes a direct connection between entanglement dynamics and transport, providing a transport counterpart to the quasiparticle picture that successfully describes the evolution of the von Neumann entropy. In the free-fermion and conformal limits, our results reduce to the difference between the current cumulants carried by right- and left-moving excitations, recovering previously known expressions. In interacting integrable models, where a decomposition into independent right and left movers is no longer meaningful at the operator level, a similar structure survives at the level of the entanglement spectrum, yielding a unified description of entanglement Hamiltonian fluctuations across free, conformal, and interacting integrable systems.
Abstract:We study the dynamics of the cumulants of the entanglement Hamiltonian in interacting integrable models following global quantum quenches. Building on recent results based on space-time duality, we show that these cumulants are exactly given by the cumulants of currents of suitable conserved charges evaluated in the macrostate selected by the initial state. This establishes a direct connection between entanglement dynamics and transport, providing a transport counterpart to the quasiparticle picture that successfully describes the evolution of the von Neumann entropy. In the free-fermion and conformal limits, our results reduce to the difference between the current cumulants carried by right- and left-moving excitations, recovering previously known expressions. In interacting integrable models, where a decomposition into independent right and left movers is no longer meaningful at the operator level, a similar structure survives at the level of the entanglement spectrum, yielding a unified description of entanglement Hamiltonian fluctuations across free, conformal, and interacting integrable systems.
Statistical Mechanics (cond-mat.stat-mech); Quantum Physics (quant-ph)
arXiv:2608.24613 [cond-mat.stat-mech]
(or arXiv:2608.24613v1 [cond-mat.stat-mech] for this version)
https://doi.org/10.48550/arXiv.2608.24613 Focus to learn more arXiv-issued DOI via DataCite (pending registration)
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