Oscillation and synchronization of two quantum van der Pol oscillators
Lisa Morgan, Haye Hinrichsen
TL;DR
This paper investigates the synchronization behavior of two quantum van der Pol oscillators using a novel derivation of the quantum master equation from a Hamiltonian, highlighting the role of phase factors in their mutual correlations.
Contribution
It introduces a new derivation method for the quantum master equation and analyzes the effects of phase factors on oscillator synchronization.
Findings
Demonstrates synchronization properties in quantum van der Pol oscillators
Highlights the impact of phase factors on mutual correlations
Provides a new approach to deriving quantum master equations
Abstract
The synchronization properties of two self-sustained quantum oscillators are studied in the Wigner representation. Instead of considering the quantum limit of the quantum van-der-Pol master equation we derive the quantum master equation directly from a suitable Hamiltonian. Moreover, the oscillators are coupled in incorporating an additional phase factor which shows up in the mutual correlations.
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Taxonomy
TopicsQuantum Information and Cryptography · Spectroscopy and Quantum Chemical Studies · stochastic dynamics and bifurcation