Fig. 1: Time derivative of the half-chain annealed average S2 in a random circuit with q = 3 states per site and only a single U(1) symmetry. | Communications Physics

Fig. 1: Time derivative of the half-chain annealed average S2 in a random circuit with q = 3 states per site and only a single U(1) symmetry.

From: Entanglement growth in diffusive systems with large spin

Fig. 1

The red curve corresponds to an initial state which is a superposition of spin-up and spin-down particles only, with no empty sites; in this case the derivative is constant (ballistic). For a generic initial state that is the superposition of all three possible states (blue curve) the derivative decays as \(1/\sqrt{t}\) (diffusive).

Back to article page