Photon-induced tunneling in optomechanical systems

Abstract

In contrast to recent studies [Rabl, Phys. Rev. Lett. 107, 063601 (2011); Nunnenkamp et al., Phys. Rev. Lett. 107, 063602 (2011)] on photon blockade that prevents subsequent photons from resonantly entering the cavity in optomechanical systems, we study the photon-induced tunneling that increases the probability of admitting subsequent photons in those systems. In particular, we analytically and numerically show how twoor three-photon tunneling can occur by avoiding single-photon blockade. Our study provides another way on photon control using a single mechanical resonator in optomechanical systems.Comment: 5 pages, 4 figure

Tunable photon statistics in weakly nonlinear photonic molecules

“…The equal-time second-order correlation function of the photons in mode A, g (2) a (0) ≡ a † a † aa / a † a 2 , can be calculated by solving the master equations numerically [11,14,37]. In the weak driving condition, |C (n a +1)n b | 2 |C n a n b | 2 , |C n a (n b +1) | 2 |C n a n b | 2 , and then g (2) a (0) can be given approximately by [38] …”

Antibunching photons in a cavity coupled to an optomechanical system

“…On the contrary, when ∆ > 0.05κ, there is bunching in cavity A and cavity B, while the cross correlation between the modes in the two cavities exhibits weak antibunching g (2) ab (0) < 1. Under weakly driven condition [34], g (2) aa (0) < 1 and g (2) bb (0) < 1 indicate that there is no more than one photon in each cavity, and g (2) ab (0) > 1 shows that there is big chance that each cavity has one photon simultaneously. g (2) aa (0) > 1 and g (2) bb (0) > 1 indicate that there is big chance for more than one photon present in each cavity, while g (2) ab (0) < 1 shows that the probability that each cavity has one photon simultaneously is low.…”

Quantum-criticality-induced strong Kerr nonlinearities in optomechanical systems

“…It has been shown theoretically that strong optical nonlinear effects (and relevant applications, such as generating nonclassical state, photon blockade, multiple sidebands, photon-phonon transistors, and optomechanical photon measurement) can be realized in single-mode21222324252627282930313233 or two-mode optomechanical systems (OMSs)3435. These phenomena are mainly demonstrated in the single-photon strong-coupling regime, where the optomechanical coupling strength at the single-photon level g a exceeds the cavity decay rate κ a ( g a > κ a ).…”