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Relaxation oscillations and frequency entrainment in quantum mechanics
Citation
Chia, A., Kwek, L. C., & Noh, C. (2020). Relaxation oscillations and frequency entrainment in quantum mechanics. Physical Review E, 102(4), Article 042213. https://doi.org/10.1103/PhysRevE.102.042213
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.
Date Issued
2020
Publisher
American Physical Society
Journal
Physical Review E
Grant ID
National Research Foundation of Korea (Grant no. NRF- 2019R1G1A1097074)
Funding Agency
Ministry of Education, Singapore
Ministry of Science and ICT, South Korea
National Research Foundation, Singapore