Hidden quasi-local charges and Gibbs ensemble in a Lindblad system

2023/05/03 by Marius de Leeuw, de Leeuw, Marius, Chiara Paletta +5 · 3 citations
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Quantum many-body systems #Spectroscopy and Quantum Chemical Studies #Statistical Mechanics (cond-mat.stat-mech)

paper · pdf · doi:10.48550/arxiv.2305.01922

openalex publication_date 2023/05/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider spin-1/2 chains with external driving that breaks the continuous symmetries of the Hamiltonian. We introduce a family of models described by the Lindblad equation with local jump operators. The models have hidden strong symmetries in the form of quasi-local charges, leading to multiple non-equilibrium steady states. We compute them exactly in the form of Matrix Product Operators, and argue that they are the analogues of quantum many body scars in the Lindbladian setting. We observe that the dynamics leads to the emergence of a Gibbs ensemble constructed from the hidden charges.

Citations

• Quantum many-body scars and Hilbert space fragmentation: a review of exact results

Cited by

• Thermal states emerging from low-entanglement background in disordered spin models
• Charge current and phase diagram of the disordered open longer-range Kitaev chain
• Operator-space fragmentation and integrability in Pauli-Lindblad models

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