Home > Research > Publications & Outputs > Quantum Effects on the Synchronization Dynamics...

Associated organisational unit

Electronic data

  • QuantumSyncronization

    Accepted author manuscript, 734 KB, PDF document

    Available under license: CC BY: Creative Commons Attribution 4.0 International License


Text available via DOI:

View graph of relations

Quantum Effects on the Synchronization Dynamics of the Kuramoto Model

Research output: Contribution to Journal/MagazineJournal articlepeer-review

Article number032219
<mark>Journal publication date</mark>28/09/2023
<mark>Journal</mark>Physical Review A - Atomic, Molecular, and Optical Physics
Issue number3
Publication StatusPublished
<mark>Original language</mark>English


The Kuramoto model serves as a paradigm for describing spontaneous synchronization in a system of classical interacting rotors. In this study, we extend this model to the quantum domain by coupling quantum interacting rotors to external baths following the Caldeira-Leggett approach. Studying the mean-field model in the overdamped limit using Feynman-Vernon theory, we show how quantum mechanics modifies the phase diagram. Specifically, we demonstrate that quantum fluctuations hinder the emergence of synchronization, albeit not entirely suppressing it. We examine the phase transition into the synchronized phase at various temperatures, revealing that classical results are recovered at high temperatures while a quantum phase transition occurs at zero temperature. Additionally, we derive an analytical expression for the critical coupling, highlighting its dependence on the model parameters, and examine the differences between classical and quantum behavior.