Quantum Effects on the Synchronization Dynamics of the Kuramoto Model

Delmonte, Anna and Romito, Alessandro and Santoro, Giuseppe E. and Fazio, R. (2023) Quantum Effects on the Synchronization Dynamics of the Kuramoto Model. Physical Review A - Atomic, Molecular, and Optical Physics, 108 (3): 032219. ISSN 1050-2947

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Abstract

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.

Item Type:
Journal Article
Journal or Publication Title:
Physical Review A - Atomic, Molecular, and Optical Physics
Uncontrolled Keywords:
Research Output Funding/no_not_funded
Subjects:
?? quant-phcond-mat.stat-mechno - not fundednoatomic and molecular physics, and optics ??
ID Code:
206251
Deposited By:
Deposited On:
03 Oct 2023 13:45
Refereed?:
Yes
Published?:
Published
Last Modified:
13 Aug 2024 23:48