Antibunching in an optomechanical oscillator

Abstract

We theoretically analyze antibunching of the phonon field in an optomechanical oscillator employ- ing the membrane-in-the-middle geometry. More specifically, a single-mode mechanical oscillator is quadratically coupled to a single-mode cavity field in the regime in which the cavity dissipation is a dominant source of damping, and adiabatic elimination of the cavity field leads to an effective cubic nonlinearity for the mechanics. We show analytically in the weak coupling regime that the mechan- ics displays a chaotic phonon field for small optomechanical cooperativity, whereas an antibunched single-phonon field appears for large optomechanical cooperativity. This opens the door to control of the second-order correlation function of a mechanical oscillator in the weak coupling regime.

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• Phase-Controlled Phonon Laser
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• Quantum reservoir engineering through quadratic optomechanical interaction in the reversed dissipation regime
• Generation of single entangled photon-phonon pairs via an atom-photon-phonon interaction
• Quantum signatures in quadratic optomechanics
• Solution of Cross-Kerr Interaction Combined with Parametric Amplification
• Higher-order interactions in quantum optomechanics: Analytical solution of nonlinearity
• Highly nonclassical phonon emission statistics through two-phonon loss of van der Pol oscillator
• Novel hermetically sealed device to realize unconventional phonon blockade at near-micron dimensions and milli Kelvin temperatures
• Mechanical engineering of photon blockades in a cavity optomechanical system
• Antibunching via cooling by heating