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arXiv · 1711.07376

Relaxation oscillations and frequency entrainment in quantum mechanics

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.

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A. Chia, L. C. Kwek, C. Noh. 2017-11-20. Relaxation oscillations and frequency entrainment in quantum mechanics. https://doi.org/10.1103/physreve.102.042213

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