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Hidden quasi-local charges and Gibbs ensemble in a Lindblad system
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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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Integrability versus chaos in the steady state of many-body open quantum systems
In boundary-driven spin chains, steady-state integrability is independent of Liouvillian integrability and is best diagnosed by the operator-size distribution of the steady-state Hamiltonian, not by local simplicity.
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