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

TL;DR

This paper investigates how noisy dissipation affects entanglement spreading in a quantum XY spin chain, revealing a Zeno crossover where entanglement growth slows down due to strong dissipation, with noise characteristics influencing this transition.

Contribution

It introduces a method to analyze entanglement dynamics under noisy dissipation and demonstrates how noise correlation time shifts the Zeno crossover in spin chains.

Findings

Entanglement spreading slows down at strong dissipation due to the Zeno effect.

Noise averaged entanglement entropy indicates heating and Zeno regimes.

Increasing noise correlation time shifts the Zeno crossover to stronger dissipation.

Abstract

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 of a bipartition of spins, for a stochastic quantum trajectory. We compute the noise averaged entanglement entropy 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 entanglement entropy 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.