



01656nas a2200157   4500008004100000245008100041210006900122260001500191520114900206100002801355700001701383700001801400700002201418700002101440856003701461       2020                        eng d00aEntanglement entropy scaling transition under competing monitoring protocols0 aEntanglement entropy scaling transition under competing monitori  c08/19/20203 a<p>Dissipation generally leads to the decoherence of a quantum state. In contrast, numerous recent proposals have illustrated that dissipation can also be tailored to stabilize many-body entangled quantum states. While the focus of these works has been primarily on engineering the non-equilibrium steady state, we investigate the build-up of entanglement in the quantum trajectories. Specifically, we analyze the competition between two different dissipation channels arising from two incompatible continuous monitoring protocols. The first protocol locks the phase of neighboring sites upon registering a quantum jump, thereby generating a long-range entanglement through the system, while the second one destroys the coherence via dephasing mechanism. By studying the unraveling of stochastic quantum trajectories associated with the continuous monitoring protocols, we present a transition for the scaling of the averaged trajectory entanglement entropies, from critical scaling to area-law behavior. Our work provides novel insights into the occurrence of a measurement-induced phase transition within a continuous monitoring protocol.</p>1 aVan Regemortel, Mathias1 aCian, Ze-Pei1 aSeif, Alireza1 aDehghani, Hossein1 aHafezi, Mohammad  uhttps://arxiv.org/abs/2008.08619