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    Accuracy of a time-dependent generalized Gibbs ensemble approach under weak dissipation

    Luca Lumia1, Gianni Aupetit-Diallo1, Jérôme Dubail2, and Mario Collura1,3

    Phys. Rev. A 112, 012206 – Published 10 July, 2025

    DOI: https://doi.org/10.1103/x9c1-hyxh

    Abstract

    Unitary integrable models typically relax to a stationary generalized Gibbs ensemble (GGE), but in experimental realizations dissipation often breaks integrability. In this work, we use the recently introduced time-dependent GGE (t-GGE) approach to describe the open dynamics of a gas of bosons subject to atom losses and gains. We employ tensor network methods to provide numerical evidence of the exactness of the t-GGE in the limit of adiabatic dissipation, and of its accuracy in the regime of weak but finite dissipation. That accuracy is tested for two-point functions via the rapidity distribution, and for more complicated correlations through a non-Gaussianity measure. We combine this description with generalized hydrodynamics and we show that it correctly captures transport at large scales. Our results demonstrate that the t-GGE approach is robust in both homogeneous and inhomogeneous settings.

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