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

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.

14 pages, 5 figures

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• Diagrammatic Monte Carlo for Dissipative Quantum Impurity Models
• Dissipative realization of Kondo models
• Variational approach to the dynamics of dissipative quantum impurity models
• Kondo-Zeno crossover in the dynamics of a monitored quantum dot
• Controlling superfluid flows using dissipative impurities
• Free fermions with dephasing and boundary driving: Bethe Ansatz results