The ν-QSSEP model generalizes QSSEP with spatially structured noise; for ν=1 entanglement dynamics follows a stochastic quasiparticle picture yielding diffusive growth.
Bernard, Can the macroscopic fluctuation theory be quantized?, Journal of Physics A: Mathematical and The- oretical 54, 433001 (2021)
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$\nu$-QSSEP: A toy model for entanglement spreading in stochastic diffusive quantum systems
The ν-QSSEP model generalizes QSSEP with spatially structured noise; for ν=1 entanglement dynamics follows a stochastic quasiparticle picture yielding diffusive growth.