Observation of quantum phase-synchronization in a nuclear spin-system

TL;DR

This paper demonstrates quantum phase-synchronization in a nuclear spin system using NMR techniques, revealing phase-localization and robustness to detuning through experimental Husimi distribution measurements.

Contribution

The study introduces a novel interferometric method to directly measure the Husimi function in nuclear spins, advancing understanding of quantum synchronization phenomena.

Findings

Phase-localization observed via Husimi distribution

Synchronization robustness confirmed through Arnold tongue analysis

Development of a direct measurement technique for quantum phase distributions

Abstract

We report an experimental study of phase-synchronization in a pair of interacting nuclear spins subjected to an external drive in nuclear magnetic resonance architecture. A weak transition-selective radio-frequency field applied on one of the spins is observed to cause phase-localization, which is experimentally established by measuring the Husimi distribution function under various drive conditions. To this end, we have developed a general interferometric technique to directly extract values of the Husimi function via the transverse magnetization of the undriven nuclear spin. We further verify the robustness of synchronization to detuning in the system by studying the Arnold tongue behaviour.