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Relaxation oscillations and frequency entrainment in quantum mechanics

2020/10/16 by A. Chia, L. C. Kwek, Changsuk Noh · 1 voice
Engineering · Physics and Astronomy · #Photonic and Optical Devices #Mechanical and Optical Resonators #Advanced Fiber Laser Technologies

paper · doi:10.1103/physreve.102.042213

openalex publication_date 2020/10/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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