Synchronization of spin-driven limit cycle oscillators optically levitated in vacuum

Oto Brzobohatý (), Martin Duchaň, Petr Jákl, Jan Ježek, Martin Šiler, Pavel Zemánek and Stephen H. Simpson ()
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Oto Brzobohatý: Institute of Scientific Instruments
Martin Duchaň: Institute of Scientific Instruments
Petr Jákl: Institute of Scientific Instruments
Jan Ježek: Institute of Scientific Instruments
Martin Šiler: Institute of Scientific Instruments
Pavel Zemánek: Institute of Scientific Instruments
Stephen H. Simpson: Institute of Scientific Instruments

Nature Communications, 2023, vol. 14, issue 1, 1-10

Abstract: Abstract We explore, experimentally and theoretically, the emergence of coherent coupled oscillations and synchronization between a pair of non-Hermitian, stochastic, opto-mechanical oscillators, levitated in vacuum. Each oscillator consists of a polystyrene microsphere trapped in a circularly polarized, counter-propagating Gaussian laser beam. Non-conservative, azimuthal forces, deriving from inhomogeneous optical spin, push the micro-particles out of thermodynamic equilibrium. For modest optical powers each particle shows a tendency towards orbital circulation. Initially, their stochastic motion is weakly correlated. As the power is increased, the tendency towards orbital circulation strengthens and the motion of the particles becomes highly correlated. Eventually, centripetal forces overcome optical gradient forces and the oscillators undergo a collective Hopf bifurcation. For laser powers exceeding this threshold, a pair of limit cycles appear, which synchronize due to weak optical and hydrodynamic interactions. In principle, arrays of such Non-Hermitian elements can be arranged, paving the way for opto-mechanical topological materials or, possibly, classical time crystals. In addition, the preparation of synchronized states in levitated optomechanics could lead to new and robust sensors or alternative routes to the entanglement of macroscopic objects.

Date: 2023
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DOI: 10.1038/s41467-023-41129-5

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