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arXiv · 1709.05093

Oscillation collapse in coupled quantum van der Pol oscillators

Kenta Ishibashi·Rina Kanamoto
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Abstract

The classical self-oscillations can collapse merely due to their mutual couplings. We investigate this oscillation collapse in quantum van der Pol oscillators. For a pair of quantum oscillators, the steady-state mean phonon number is shown to be lower than in the corresponding classical model with a Gaussian white noise that mimics quantum noise. We further show within the mean-field theory that a number of globally coupled oscillators undergo a transition from the synchronized periodic motion to the collective oscillation collapse. A quantum many-body simulation suggests that the increase in the number of oscillators leads to a lower steady-state mean phonon number, bounded below by the mean-field result.

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Kenta Ishibashi, Rina Kanamoto. 2017-11-18. Oscillation collapse in coupled quantum van der Pol oscillators. https://doi.org/10.1103/physreve.96.052210

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