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

• URL: http://arxiv.org/abs/2601.23234v2
• Date: Thu, 05 Feb 2026 10:41:55 GMT
• Title: Entanglement Hamiltonians in dissipative free fermions and the time-dependent GGE
• Authors: Riccardo Travaglino, Federico Rottoli, Pasquale Calabrese,
• Abstract summary: We investigate the dynamics of Entanglement Hamiltonians (EHs) in dissipative free-fermionic systems.<n> Focusing on gain and loss dissipation, we study the post-quench evolution and derive explicit expressions for the EH at the ballistic scale.
• Score: 0.15293427903448023
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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