Abstract
We propose a scheme to realize the two-phonon blockade effect in a quadratically coupled optomechanical system. We consider the case that the optical cavity is simultaneously driven by a strong pumping field and a weak driving field. By strongly driving the optical cavity, the nonlinear interaction between the optical mode and the mechanical resonator can be significantly enhanced and an effective second-order nonlinearity between photons and phonons is induced. Based on this effectively strong nonlinearity, the two-phonon blockade effect can be achieved when a weak driving field is applied into the optical cavity. By contrast, we study the case of weakly driving the mechanical resonator. In this case, the single-phonon blockade is generated, while the two-phonon blockade cannot be observed. By numerically calculating the second-order and third-order correlation function, we investigate the statistical characteristics of phonons. In addition, we also study the influence of the thermal noise on the achieved two-phonon blockade effect. Our work provides an alternative approach for implementing multiphonon blockade and has potential applications in quantum information processing.
Highlights
IntroductionCavity optomechanics, exploring the interaction between optical and mechanical degrees of freedom [1,2,3,4,5], has received extensive attention and made spectacular achievements
To achieve the two-phonon blockade, we consider that the optical cavity is both driven by a strong pumping field and a weak driving field
An effective second-order nonlinearity between photons and phonons is induced. This effectively strong nonlinearity allows for the generation of the two-phonon blockade effect when a weak driving field is applied into the optical cavity
Summary
Cavity optomechanics, exploring the interaction between optical and mechanical degrees of freedom [1,2,3,4,5], has received extensive attention and made spectacular achievements. The quadratic optomechanical coupling has been utilized to realize the quantum nondemolition measurements of the mechanical oscillator’s energy eigenstates [29], to achieve the cooling and squeezing of the mechanical oscillator [33,34], to generate the photon blockade [27,35], the phonon antibunching and phonon blockade [36,37,38,39]. An effective second-order nonlinearity between photons and phonons is induced This effectively strong nonlinearity allows for the generation of the two-phonon blockade effect when a weak driving field is applied into the optical cavity. By applying two driving fields into the optical cavity, we illustrate the quantum effects of phonons, while Ref. [27] explores single-photon nonlinearities in a strongly driven optomechanical system
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