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Quantum Physics

arXiv:1711.07376 (quant-ph)
[Submitted on 20 Nov 2017 (v1), last revised 16 Oct 2020 (this version, v2)]

Title:Relaxation oscillations and frequency entrainment in quantum mechanics

Authors:A. Chia, L. C. Kwek, C. Noh
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Abstract:Frequency entrainment of continuous-variable oscillators has to date been restrained to the weakly nonlinear regime. Here we overcome this bottleneck and extend frequency entrainment of quantum continuous-variable oscillators to arbitrary nonlinearities. The previously known steady state of such quantum oscillators in the weakly nonlinear regime (also known as a Stuart-Landau oscillator) is shown to emerge as a special case. Most importantly, the hallmark of strong nonlinearity--relaxation oscillations--is shown in quantum mechanics. Depending on the oscillator's nonlinearity, relaxation oscillations are found to occur via two distinct mechanisms in phase space.
Comments: Comments welcome
Subjects: Quantum Physics (quant-ph); Adaptation and Self-Organizing Systems (nlin.AO); Chaotic Dynamics (nlin.CD)
Cite as: arXiv:1711.07376 [quant-ph]
  (or arXiv:1711.07376v2 [quant-ph] for this version)
  https://doi.org/10.48550/arXiv.1711.07376
Journal reference: Phys. Rev. E 102, 042213 (2020)
Related DOI: https://doi.org/10.1103/PhysRevE.102.042213

Submission history

From: Andy Chia [view email]
[v1] Mon, 20 Nov 2017 15:28:45 UTC (188 KB)
[v2] Fri, 16 Oct 2020 18:05:30 UTC (4,690 KB)
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