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

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arxiv 2103.16172 v4 pith:BN6F6AQO submitted 2021-03-30 cond-mat.stat-mech quant-ph

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

classification cond-mat.stat-mech quant-ph
keywords zenoentanglemententropynoisespinaveragedbipartitioncorrelation
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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