Realization of a degenerate parametric oscillator in electromechanical systems
E. Jansen (Kavli institute of nanoscience Delft, TU Delft - Applied Sciences)
J. D.P. Pereira Machado (Kavli institute of nanoscience Delft, TU Delft - QN/Blanter Group)
IM Blanter (Kavli institute of nanoscience Delft, TU Delft - QN/Blanter Group, TU Delft - QN/Quantum Nanoscience)
More Info
expand_more
Other than for strictly personal use, it is not permitted to download, forward or distribute the text or part of it, without the consent of the author(s) and/or copyright holder(s), unless the work is under an open content license such as Creative Commons.
Abstract
We consider an electromechanical system in which a microwave cavity is coupled to a mechanical resonator, with a mechanical frequency twice the microwave frequency. In this regime, the effective photon-phonon interaction is equivalent to that of a degenerate parametric amplifier, instead of the typical radiation pressure interaction. If the mechanical resonator is strongly driven, it undergoes a phase transition to a state in which the energy pumped into the mechanical mode is entirely converted to the photonic mode. Quantum fluctuations smear this phase transition. We describe these effects with a steady-state Fokker-Planck equation in the complex P representation and compute the photonic field intensity and quadrature variances, as well as the mechanical amplitude. This Fokker-Planck method performs better than the standard linearization results when compared to numerical simulations.