| The interaction between light and matter plays an essential role whether in fundamental photophysical or in the application of photonic devices.Optical microcavities act as important experiment systems to amplify the optical field and the interaction between light and matter.According to their ways of confining light,optical microcavities can be divided into the Fabry-Perot(F-P)type microcavity,the whispering-gallery-modes(WGM)microcavity and the photonic crystal(P-C)microcavity.Among them,the WGM microcavity has extremely high quality factor(Q),small cavity volume(V)and large-scale integrability.Thus it finds extensive applications in both theoretical and experimental studies in the fields of quantum optics and nonlinear optics.With the study of the optical information transferring and photon statistical properties in WGM microcavity system,one can better understand the way of its inner interaction mechanism on one hand,and can apply it more suitably in quantum information,quantum cryptography,and quantum network on the other hand.In this paper,based on the platform of WGM microcavity systems,we will investigate on the photon transferring and photon statistic properties in microcavity optics.The main content of this paper is arranged as the following three parts:First,by adding a local oscillator in the optical system compounded by N inline uncoupling circle microcavities,we find the introduction of the local oscillator can cause multiple asymmetric Fano resonance lineshapes to occur in the final output spectrum.In the compound system of N circle microcavities,local oscillator can not only facilitates the coupling between the tapered optical fiber waveguides and the microcavity array,but also introduces an extra optical transferring path which greatly affects the output characters of the devices.The input probe light passes through the fiber beam splitter(FBS)and divided into two parts,one is guided into the microcavity array and the other is injected into the local oscillator.The interference between the two paths makes the final output spectrum exhibit the asymmetric Fano resonance with comb-like lineshape.Within the realm of quantum optics,the analytical expression of the total transferring power function is deduced.By further finding the roots of the function,one can better understand the importance of the extra path which forms the multiple Fano resonance lineshapes.Simultaneously,the physical mechanism for multiple Fano resonance and the affection of different parameters on the Fano lineshape spectrum are discussed in detail.Furthermore,the feasibility of realizing this scheme experimentally with present technology is appraised.Our study provides a simple,while controllable way for realizing multiple Fano resonance which may have latent applications in the devices of senses,laser and switches.Second,we investigate on the interference-modulated photon statistics in a three mode coupling WGM microcavity optomechanical system.It is interesting to find that the mode coupling affects the output spectrum of the system.Furthermore,this coupling can also induce the quantum interference.When only one optical cavity mode of the optomechanical system is driven with external field,by solving the master equation numerically,one can find strong photon anti-bunching effect appears even in the realm of weak optomechanical coupling.The mode coupling makes the destructive interferences between different transition pathways.Thus strong photon anti-bunching can appear in this system.Specially,when both cavity modes of the WGM microcavity optomechanical system are driven by the external optical fields at the same time,one can change the strengths and the relative phases of the input fields to adjust the interference paths to control the system photon statistical properties.By properly adjusting the relative phase between the two input fields,rich photon statistical phenomena,i.e.,strong photon anti-bunching and photon super-bunching,can be observed.Moreover,the effects of thermal phonon number of the environment on the photon statistical properties is discussed.Our results can deepen the understanding that how WGM microcavities amplify the interaction between the photons and phonons,and can find the latent applications in the manufacture of the single-photon sources.Third,in the WGM microcavity QED system where weak interactions between the WGM microcavity field and two two-level atoms are considered,we investigate on how to optimize the system photon anti-bunching by introducing and adjusting the atomic dipole-dipole interaction.By comparing in detail the quality of photon anti-bunching from three involved configurations between the WGM microcavity and two-level atoms,one can find that the introduce of dipole-dipole interaction can apparently strengthen the photon anti-bunching when there are two two-level atoms in the system.Simultaneously,the photon anti-bunching in the dipole-coupled atoms-WGM cavity QED system can be even stronger than the scheme that only one two-level atom coupled with the WGM microcavity.Moreover,adjusting the atom-microcavity coupling can also affect the photon anti-bunching.In addition,this strong photon anti-bunching and the intracavity photon number are robust against the cooperative atomic decay.Our results may be useful for the construction of integrated on-chip single-photon sources. |
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