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Rostock 2019 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 42: Poster: Quantum Optics and Photonics II

Q 42.29: Poster

Wednesday, March 13, 2019, 16:15–18:15, S Atrium Informatik

Phase synchronization in bistable quantum oscillators — •Matthew Jessop1,2, Weibin Li1,2, and Andrew Armour1,21School of Physics and Astronomy, University of Nottingham, UK — 2Centre for the Mathematics and Theoretical Physics of Quantum Non-Equilibrium Systems, University of Nottingham, UK

We introduce a simple model system to study synchronization in quantum oscillators that are not simply in limit-cycle states, but rather display a more complex bistable dynamics. Our oscillator model is purely dissipative, with single and three phonon loss processes balanced by two phonon gain. When the gain rate is low, the loss processes are dominant and the oscillator has a very low phonon number. In contrast, for large gain rates, the oscillator is driven into a limit-cycle state where the occupation numbers are large though the system has no preferred phase. In between these limits an interesting bistable regime emerges in which the steady-state of the oscillators is a mixture of the low phonon occupation number and limit-cycle states, leading to a bimodal distribution in the phonon occupation probabilities. The bistability is clearly seen as intermittency in quantum jump trajectories of the system. When two such oscillators are coupled via a phonon exchange process, a locking of relative phases occurs. The pattern of phase synchronization that occurs is found to be strongly dependent on the motional state of each oscillator. Therefore this allows us to control the synchronization through engineering dissipation.

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