The Kuramoto model serves as a paradigm for describing spontaneous synchronization in a system of classical interacting rotors. In this paper, 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.

Quantum effects on the synchronization dynamics of the Kuramoto model / Delmonte, Anna; Romito, Alessandro; Santoro, Giuseppe E.; Fazio, Rosario. - In: PHYSICAL REVIEW A. - ISSN 2469-9926. - 108:3(2023), pp. 1-13. [10.1103/PhysRevA.108.032219]

Quantum effects on the synchronization dynamics of the Kuramoto model

Delmonte, Anna
Membro del Collaboration group
;
Santoro, Giuseppe E.
Membro del Collaboration group
;
Fazio, Rosario
Membro del Collaboration group
2023-01-01

Abstract

The Kuramoto model serves as a paradigm for describing spontaneous synchronization in a system of classical interacting rotors. In this paper, 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.
2023
108
3
1
13
032219
https://arxiv.org/abs/2306.09956
Delmonte, Anna; Romito, Alessandro; Santoro, Giuseppe E.; Fazio, Rosario
File in questo prodotto:
File Dimensione Formato  
Delmonte_PRA2023.pdf

non disponibili

Tipologia: Versione Editoriale (PDF)
Licenza: Non specificato
Dimensione 774.34 kB
Formato Adobe PDF
774.34 kB Adobe PDF   Visualizza/Apri   Richiedi una copia

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/135871
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 1
  • ???jsp.display-item.citation.isi??? ND
social impact