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The Quantum Symmetric Simple Exclusion Process (Q-SSEP) is a model for quantum stochastic dynamics of fermions hopping along the edges of a graph with Brownian noisy amplitudes and driven out-of-equilibrium by injection-extraction processes at a few vertices.
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M.J. Gullans and D. A. Huse, Entanglement Structure of Current-Driven Diffusive Fermion Systems, Phys. Rev. X 9, 021007 (2019)
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D. Bernard and T. Jin, Open quantum symmetric simple exclusion process, Phys. Rev. Lett. 123, 080601 (2019)
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