Injection locking in an optomechanical coherent phonon source
Guillermo Arregui, Martin Facundo Colombano, J\'er\'emie Maire,, Alessandro Pitanti, Nestor Eduardo Capuj, Amadeu Griol, Alejandro Mart\'inez,, Clivia Marfa Sotomayor Torres, Daniel Navarro Urrios

TL;DR
This paper demonstrates phase locking of an optomechanical phonon source to an external reference, showing tunable synchronization and enhanced stability, advancing optomechanical oscillator control for integrated acoustic applications.
Contribution
It introduces a method for injection locking of a self-sustained optomechanical oscillator using external RF modulation, with experimental characterization of lock range and phase noise.
Findings
Lock range up to 350 kHz demonstrated.
Maximum phase noise suppression of 44 dBc/Hz at 1 kHz offset.
External modulation enables control and stabilization of oscillations.
Abstract
Spontaneous locking of the phase of a coherent phonon source to an external reference is demonstrated in an optomechanical oscillator based on a self-triggered free-carrier/temperature limit cycle. Synchronization is observed when the pump laser driving the mechanical oscillator to a self-sustained state is modulated by a radiofrequency tone. We employ a pump-probe phonon detection scheme based on an independent optical cavity to observe only the mechanical oscillator dynamics. The lock range of the oscillation frequency, i.e., the Arnold tongue, is experimentally determined over a range of external reference strengths, evidencing the possibility to tune the oscillator frequency for a range up to 350 kHz. The stability of the coherent phonon source is evaluated via its phase noise, with a maximum achieved suppression of 44 dBc/Hz at 1kHz offset for a 100 MHz mechanical resonator.…
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