Cross-correlation between photons and phonons in quadratically coupled optomechanical systems

Abstract

We study photon, phonon statistics and the cross-correlation between photons and phonons in a quadratically coupled optomechanical system. Photon blockade, phonon blockade, and strong anticorrelation between photons and phonons can be observed in the same parameter regime with the effective nonlinear coupling between the optical and mechanical modes, enhanced by a strong optical driving field. Interestingly, an optimal value of the effective nonlinear coupling strength for the photon blockade is not within the strong nonlinear coupling regime. This abnormal phenomenon results from the destructive interference between different paths for twophoton excitation in the optical mode with a moderate effective nonlinear coupling strength. Furthermore, we show that phonon (photon) pairs or correlated photons and phonons can be generated in the strong nonlinear coupling regime with a proper detuning between the weak mechanical driving field and mechanical mode. Our results open up a way to generate anticorrelated and correlated photons and phonons, which may have important applications in quantum information processing. |0, > |4 0 > J 2 J 2 2 J 6 J 6 2 Non-coupling basis J 3 2 J 2 Diagonal basis |1 0 > J 4 J 4

Mimicking a hybrid-optomechanical system using an intrinsic quadratic coupling in conventional optomechanical system

“…Analogous to LOC, the quadratic optomechanical coupling (QOC) is a second order photon-phonon interaction manifested in terms of x 2 of the mechanical oscillator as observed in various OM systems (18 -23 ). Such systems can offer mechanical oscillator's cooling and squeezing (24 ), generation of nonclassical states (25 ), photon blockade mechanism (26 ) and features pertaining to the cross correlations between photons and phonons (27 ). The present scheme consisting of both LOC and QOC in a OM system as proposed by authors, previously exhibited quantum features like squeezed states of optical (28 ) and mechanical modes (29 ).…”

Generation of single entangled photon-phonon pairs via an atom-photon-phonon interaction

“…In a recent experiment [21], the non-classical correlations between single photons and phonons from a nanomechanical resonator was reported by driving the nanomechanical photonic crystal cavity with bluedetuned optical pulse. After that, we studied the photon and phonon statistics in a quadratically coupled optomechanical system, and show that both photon blockade and phonon blockade can be observed in the same parameter regime, and more important, the single photons and single phonons are strongly anticorrelated [22]. Here, we will do a further study and propose a method to generate correlated single photons and single phonons under the constant atomic driving.…”

Enhanced phonon blockade in a weakly-coupled hybrid system via mechanical parametric amplification

“…Unlike the photon blockade effects that can be measured directly via mature experimental technologies of photon correlation detection [50,105,106], direct measurement of PB by measuring the second-order correlation function of phonons remains an experimental challenge. Nonetheless, it is feasible to measure the phonon correlations indirectly by, e.g., converting the mechanical signals into optical signals through auxiliary optomechanical couplings [57,59,107,108]. A recent experiment demonstrated the measurement of second-order phonon correlation function in an optomechanical system by detecting the correlation of the emitted photons from the optical cavity [107].…”