Print Email Facebook Twitter Realization of a degenerate parametric oscillator in electromechanical systems Title Realization of a degenerate parametric oscillator in electromechanical systems Author Jansen, E. (TU Delft Applied Sciences; Kavli institute of nanoscience Delft) Pereira Machado, J.D. (TU Delft QN/Blanter Group; Kavli institute of nanoscience Delft) Blanter, Y.M. (TU Delft QN/Blanter Group; TU Delft QN/Quantum Nanoscience; Kavli institute of nanoscience Delft) Faculty Applied Sciences Department QN/Quantum Nanoscience Date 2019 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. To reference this document use: http://resolver.tudelft.nl/uuid:e0078491-6c43-44a9-9588-cd5ef94cb5c2 DOI https://doi.org/10.1103/PhysRevB.99.045401 ISSN 2469-9950 Source Physical Review B, 99 (4) Part of collection Institutional Repository Document type journal article Rights © 2019 E. Jansen, J.D. Pereira Machado, Y.M. Blanter Files PDF PhysRevB.99.045401.pdf 770.39 KB Close viewer /islandora/object/uuid:e0078491-6c43-44a9-9588-cd5ef94cb5c2/datastream/OBJ/view