Schmolke Finn, Lutz Eric
Institute for Theoretical Physics I, University of Stuttgart, D-70550 Stuttgart, Germany.
Phys Rev Lett. 2022 Dec 16;129(25):250601. doi: 10.1103/PhysRevLett.129.250601.
Synchronization is a widespread phenomenon in science and technology. Here, we 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 find 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.
同步是科学技术中一种普遍存在的现象。在此，我们研究了受局部高斯白噪声作用的量子自旋链中的噪声诱导同步。我们证明了具有任意长度横向场的量子XY模型端点磁化之间的稳定（反）同步。值得注意的是，我们表明施加到单个自旋上的噪声足以实现稳定的（反）同步，并且发现两个同步的末端自旋是纠缠的。我们还确定了沿链导致最快同步的最佳噪声幅度，并进一步将最佳同步速度与信息传播的基本Lieb-Robinson界进行比较。
