Coherently synchronized oscillations in many-body localization

TL;DR

This paper reports the discovery of coherent synchronized oscillations in a many-body localized system, linking the transition to an effective Ising model and providing theoretical estimates that match numerical results.

Contribution

It introduces a novel synchronization transition in many-body localization systems and models it using an effective Ising framework, offering new insights into their dynamics.

Findings

Synchronization transition can be tuned by changing spin-spin interactions.

The transition is analogous to a paramagnetic-to-ferromagnetic Ising transition.

Theoretical estimates align well with numerical simulations.

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.