Noise-induced quantum synchronization

TL;DR

This paper investigates how local Gaussian white noise can induce stable synchronization between the end spins of a quantum XY chain, revealing entanglement and optimal noise conditions for fastest synchronization.

Contribution

It demonstrates noise-induced stable (anti)synchronization in a quantum spin chain with entanglement, and identifies optimal noise levels for rapid synchronization.

Findings

Stable (anti)synchronization between chain endpoints.

Entanglement of synchronized end spins.

Optimal noise amplitude for fastest synchronization.

Abstract

Synchronization is a widespread phenomenon in science and technology. We here study noise-induced synchronization in a quantum spin chain subjected to local Gaussian white noise. We demonstrate stable (anti)synchronization between the endpoint magnetizations of a quantum $XY$ model with transverse field of arbitrary length. Remarkably, we show that noise applied to a single spin suffices to reach stable (anti)synchronization, and demonstrate that the two synchronized end spins are entangled. We additionally determine the optimal noise amplitude that leads to the fastest synchronization along the chain, and further compare the optimal synchronization speed to the fundamental Lieb-Robinson bound for information propagation.