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  • Letter

Coherently synchronized oscillations in many-body localization

Zi-Jian Li*, Yi-Ting Tu*, and Sankar Das Sarma

  • *These authors contributed equally to this work.

Phys. Rev. B 113, L180204 – Published 20 May, 2026

DOI: https://doi.org/10.1103/dlfh-zmw4

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.

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