2017
DOI: 10.1103/physreva.95.053844
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Antibunching in an optomechanical oscillator

Abstract: We theoretically analyze antibunching of the phonon field in an optomechanical oscillator employing 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 mechanics displays a chao… Show more

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Cited by 32 publications
(30 citation statements)
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References 58 publications
(92 reference statements)
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“…It is clear that we have ρ 3,3 ≈ ρ 4,4 ≈ ρ 5,5 around γ m = γ c , which is agree with Eqs. (13) and (14). In the weak-coupling regime (J ≪ κ) as shown in Fig.…”
Section: Correlation and Entanglementmentioning
confidence: 92%
“…It is clear that we have ρ 3,3 ≈ ρ 4,4 ≈ ρ 5,5 around γ m = γ c , which is agree with Eqs. (13) and (14). In the weak-coupling regime (J ≪ κ) as shown in Fig.…”
Section: Correlation and Entanglementmentioning
confidence: 92%
“…When the mechanical element is placed at a node (or anti-node) of a cavity mode, the reflection symmetry ensures that the coupling is quadratic in displacement, for displacements much smaller than the cavity length. If the mechanical element is a linear dielectric, the coupling is proportional to the cavity field intensity, and the Hamiltonian is given by [4,6,11]…”
Section: Isolated Systemmentioning
confidence: 99%
“…, which makes it possible to observe non-trivial quantum effects such as phonon anti-bunching [65], as detectable [48] via the Hanburry Brown-Twiss measurements of the output of the optomechanical cavity [66]. Therefore, such a non-classical phonon laser provides the key source for future fundamental studies and applications of quantum or nonlinear acoustics, such as vacuum Casimir-Rabi splittings [67] , squeezed phonons [68,69], and bistable phonon emission [70].…”
Section: Phase-controlled Phonon Lasermentioning
confidence: 99%