## Quantum simulation of quantum van der Pol oscillators with trapped ions    [PDF]

Tony E. Lee, H. R. Sadeghpour
Van der Pol oscillators are prototypical self-sustaining oscillators which have been used to model nonlinear processes in biological and other classical processes. In this work, we investigate how quantum fluctuations affect phase-locking in one or many van der Pol oscillators. We find that phase-locking is much more robust in the quantum model than in the equivalent classical model. Trapped-ion experiments are ideally suited to simulate van der Pol oscillators in the quantum regime via sideband heating and cooling of motional modes. We provide realistic experimental parameters for ${}^{171}\text{Yb}^+$ achievable with current technology.
View original: http://arxiv.org/abs/1306.6359