Emergent statistical mechanics of entanglement in random unitary circuits
Emergent statistical mechanics of entanglement in random unitary circuits
We map the dynamics of entanglement in random unitary circuits, with finite on-site Hilbert space dimension $q$, to an effective classical statistical mechanics, and develop general diagrammatic tools for calculations in random unitary circuits. We demonstrate explicitly the emergence of a `minimal membrane' governing entanglement growth, which in 1+1D is …