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Coherently synchronized oscillations in many-body localization
Zi-Jian Li, Yi-Ting Tu, Sankar Das Sarma·December 12, 2025
cond-mat.dis-nncond-mat.stat-mechQuantum Physics
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Abstract
We find an unexpected phenomenon of coherently synchronized oscillations in a mirror-symmetric many-body localized system. A synchronization transition of the spin oscillations is found by changing the spin-spin interactions. To understand this phenomenon, an effective Ising model based on local integrals of motion is proposed. We find that the synchronization transition can be understood as a paramagnetic-to-ferromagnetic Ising transition. Based on the Ising model, we theoretically estimate the synchronized frequencies and the synchronization transition points, which agree well with numerical results.