Accuracy of time-dependent GGE under weak dissipation

• URL: http://arxiv.org/abs/2412.01896v1
• Date: Mon, 02 Dec 2024 19:00:02 GMT
• Title: Accuracy of time-dependent GGE under weak dissipation
• Authors: Luca Lumia, Gianni Aupetit-Diallo, Jérôme Dubail, Mario Collura,
• Abstract summary: Unitary integrable models typically relax to a stationary Generalized Gibbs Ensemble (GGE) 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.
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• 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 the Euler scale. Our results demonstrate that the t-GGE approach is robust in both homogeneous and inhomogeneous settings.

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