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Entanglement Hamiltonians in dissipative free fermions and the time-dependent GGE

arXiv
Authors: Riccardo Travaglino, Federico Rottoli, Pasquale Calabrese

Year

2026

Paper ID

3064

Status

Preprint

Abstract Read

~2 min

Abstract Words

110

Citations

N/A

Abstract

We investigate the dynamics of Entanglement Hamiltonians (EHs) in dissipative free-fermionic systems using a recent operator-based formulation of the quasiparticle picture. Focusing on gain and loss dissipation, we study the post-quench evolution and derive explicit expressions for the EH at the ballistic scale. In the long-time and weak-dissipation regime, the EH is shown to take the form of a time-dependent Generalized Gibbs Ensemble (t-GGE), with a structure that is universal across different initial states of the quench protocol. Within this framework, the emergence of the t-GGE is fully accounted for by the quasiparticle picture, and we argue that this description remains valid whenever the Lindbladian admits an appropriate coarse-grained representation.

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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • We investigate the dynamics of Entanglement Hamiltonians (EHs) in dissipative free-fermionic systems using a recent operator-based formulation of the quasiparticle picture.

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