Quantum synchronization effects induced by strong nonlinearities

Yuan Shen, Wai Keong Mok, Changsuk Noh, Ai Qun Liu, Leong Chuan Kwek, Weijun Fan, Andy Chia

Research output: Journal article publicationJournal articleAcademic researchpeer-review

4 Citations (Scopus)


A paradigm for quantum synchronization is the quantum analog of the Stuart-Landau oscillator, which corresponds to a van der Pol oscillator in the limit of weak (i.e., vanishingly small) nonlinearity. Due to this limitation, the quantum Stuart-Landau oscillator fails to capture interesting nonlinearity-induced phenomena such as relaxation oscillations. To overcome this deficiency, we propose an alternative model that approximates the Duffing-van der Pol oscillator to finitely large nonlinearities while remaining numerically tractable. This allows us to uncover interesting phenomena in the deep-quantum strongly nonlinear regime with no classical analog, such as the persistence of amplitude death on resonance. We also report nonlinearity-induced position correlations in reactively coupled quantum oscillators. Such coupled oscillations become more and more correlated with increasing nonlinearity before reaching some maximum. Again, this behavior is absent classically. We also show how strong nonlinearity can enlarge the synchronization bandwidth in both single and coupled oscillators. This effect can be harnessed to induce mutual synchronization between two oscillators initially in amplitude death.

Original languageEnglish
Article number053713
JournalPhysical Review A
Issue number5
Publication statusPublished - 23 May 2023
Externally publishedYes

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics


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