# Phase and amplitude dynamics of quantum self-oscillators

Amitai, Ehud. Phase and amplitude dynamics of quantum self-oscillators. 2018, Doctoral Thesis, University of Basel, Faculty of Science.

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Official URL: http://edoc.unibas.ch/diss/DissB_12711

Chapter 2 tries to answer the question Are there quantum effects in the synchronization phenomenon, which cannot be modeled classically?" Using a quantum model of a self-oscillator with nonlinearity in its energy spectrum, we have answered this question in the affirmative. We have demonstrated that the anharmonic, discrete energy spectrum of the oscillator leads to multiple resonances in both phase locking and frequency entrainment.