Relaxation oscillations and frequency entrainment in quantum mechanics

التفاصيل البيبلوغرافية
العنوان: Relaxation oscillations and frequency entrainment in quantum mechanics
المؤلفون: Chia, A., Kwek, L. C., Noh, C.
المصدر: Phys. Rev. E 102, 042213 (2020)
سنة النشر: 2017
المجموعة: Nonlinear Sciences
Quantum Physics
مصطلحات موضوعية: Quantum Physics, Nonlinear Sciences - Adaptation and Self-Organizing Systems, Nonlinear Sciences - Chaotic Dynamics
الوصف: 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.
Comment: Comments welcome
نوع الوثيقة: Working Paper
DOI: 10.1103/PhysRevE.102.042213
URL الوصول: http://arxiv.org/abs/1711.07376
رقم الأكسشن: edsarx.1711.07376
قاعدة البيانات: arXiv
الوصف
DOI:10.1103/PhysRevE.102.042213