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arXiv · 2305.01922

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

Marius de Leeuw·Chiara Paletta·Balázs Pozsgay·Eric Vernier
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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.

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Marius de Leeuw, Chiara Paletta, Balázs Pozsgay, Eric Vernier. 2023-05-03. Hidden quasi-local charges and Gibbs ensemble in a Lindblad system. https://arxiv.org/abs/2305.01922

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