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Open Quantum Systems Decoherence

Relaxation oscillations and frequency entrainment in quantum mechanics

arXiv

Authors: A. Chia, L. C. Kwek, C. Noh

Year

2017

Paper ID

25000

Status

Preprint

Abstract Read

~2 min

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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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Frequency entrainment of continuous-variable oscillators has to date been restrained to the weakly nonlinear regime.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1711.07376 [2] arXiv https://arxiv.org/abs/1711.07376 [3] Publisher https://arxiv.org/abs/1711.07376

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