Zeno crossovers in the entanglement speed of spin chains with noisy impurities

We use a noisy signal with finite correlation time to drive a spin (dissipative impurity) in the quantum XY spin chain and calculate the dynamics of entanglement entropy (EE) of a bipartition of spins, for a stochastic quantum trajectory. We compute the noise averaged EE of a bipartition of spins and observe that its speed of spreading decreases at strong dissipation, as a result of the Zeno effect. We recover the Zeno crossover and show that noise averaged EE can be used as a proxy for the heating and Zeno regimes. Upon increasing the correlation time of the noise, the location of the Zeno crossover shifts at stronger dissipation, extending the heating regime.

Automated summary

We investigate the dynamics of entanglement entropy in a quantum spin chain driven by a noisy signal with finite correlation time. The spreading speed of entanglement entropy decreases at strong dissipation, exhibiting the Zeno effect. We demonstrate that the noise averaged entanglement entropy can serve as a proxy for the heating and Zeno regimes.