Synchronized Spin Trajectories under Collective Weak Measurements

Abstract:We consider locally driven-dissipative quantum spins that undergo a continuous weak measurement of their collective spin. We show that such a system can exhibit full spin-synchronization in trajectories corresponding to the same measurement record. Mathematically, we demonstrate that this is a general consequence of the irreducibility of the quantum Markov semigroup generated by the Lindbladian, in combination with a transitive symmetry, in particular spin-permutation symmetry. When breaking the irreducibility, e.g. in the absence of local dissipation, the system can exhibit a weaker form of partial synchronization. Given the general origin, this measurement-induced phenomenon arises in a broad class of many-body systems.

Quantum Physics (quant-ph); Statistical Mechanics (cond-mat.stat-mech)

arXiv:2609.12736 [quant-ph]

(or arXiv:2609.12736v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2609.12736 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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