Synchronization and Stability for Quantum Kuramoto

Research output: Contribution to journalArticle

Abstract

We present and analyze a nonabelian version of the Kuramoto system, which we call the Quantum Kuramoto system. We study the stability of several classes of special solutions to this system, and show that for certain connection topologies the system supports multiple attractors. We also present estimates on the maximal possible heterogeneity in this system that can support an attractor, and study the effect of modifications analogous to phase-lag.

Original languageEnglish (US)
Pages (from-to)160-187
Number of pages28
JournalJournal of Statistical Physics
Volume174
Issue number1
DOIs
StatePublished - Jan 15 2019

Keywords

  • Kuramoto model
  • Kuramoto–Sakaguchi model
  • Lohe model
  • Quantum synchronization
  • Synchronization

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Fingerprint Dive into the research topics of 'Synchronization and Stability for Quantum Kuramoto'. Together they form a unique fingerprint.

Cite this