Operator-Space Entanglement Entropy in Random Fermionic Gaussian Dynamics

The study calculates the operator-space entanglement entropy (OSEE) for fermionic systems evolving under random Gaussian dynamics modeled by a Brownian SYK2 model. By mapping this to a domain-wall melting problem, the authors derive an exact time-dependent expression for the bipartite OSEE in the thermodynamic limit and characterize its late-time Gaussian Page curve.

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