Logarithmic entanglement growth in two-dimensional disordered fermionic systems

Abstract

We investigate the growth of the entanglement entropy $S_{\text{ent}}$ following global quenches in two-dimensional free fermion models with potential and bond disorder. For the potential disorder case we show that an intermediate weak localization regime exists in which $S_{\text{ent}}(t)$ grows logarithmically in time $t$ before Anderson localization sets in. For the case of binary bond disorder near the percolation transition we find additive logarithmic corrections to area and volume laws as well as a scaling at long times which is consistent with an infinite randomness fixed point.

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• Entanglement dynamics in the three-dimensional Anderson model
• Momentum-space entanglement after a quench in one-dimensional disordered fermionic systems
• Quantum walks with quantum chaotic coins: Of the Loschmidt echo, classical limit and thermalization
• Quantum information spreading in random spin chains