Optomechanically induced transparency in multi-cavity optomechanical system with and without one two-level atom

Abstract

We analytically study the optomechanically induced transparency (OMIT) in the N-cavity system with the Nth cavity driven by pump, probing laser fields and the 1st cavity coupled to mechanical oscillator. We also consider that one atom could be trapped in the ith cavity. Instead of only illustrating the OMIT in such a system, we are interested in how the number of OMIT windows is influenced by the cavities and the atom and what roles the atom could play in different cavities. In the resolved sideband regime, we find that, the number of cavities precisely determines the maximal number of OMIT windows. It is interesting that, when the two-level atom is trapped in the even-labeled cavity, the central absorptive peak (odd N) or dip (even N) is split and forms an extra OMIT window, but if the atom is trapped in the odd-labeled cavity, the central absorptive peak (odd N) or dip (even N) is only broadened and thus changes the width of the OMIT windows rather than induces an extra window.

The effect of oscillator and dipole-dipole interaction on multiple optomechanically induced transparency in cavity optomechanical system

“…Note that there are four kinds of direct interactions in the system: the coupling between the adjacent cavities, the interaction between the cavities and the oscillators, the interactions of the cavities with the Rydberg atoms and the DDI between the Rydberg atoms, which make the expressions of , and become very complicated, then it is too difficult to give concrete forms. Fortunately, the values of only affect the width of the OMIT windows 30 . When one focuses on the numbers of the OMIT window by numerical computation, G mj and G e can be valued by any reasonable and convenient value.…”

“…When V ( R ) becomes more and more greater, two extra windows move and become Fano resonance till the right extra resonance of the absorption profile disappears gradually and the left extra resonance approaches the central absorptive peak. Note that, the system reduces to a coupled cavity system assisted a two-level atom in the large range DDI strength 30 . Because the influence of the coupled Rydberg atoms resembles a mechanical oscillator as mentioned above.…”

“…On the other hand, the studies on the OMIT have been extended to double- and multi-optomechanically induced transparency 23 by integrating more optical or mechanical modes. It has been reported that multiple OMIT windows may occur in the atomic-media assisted optomechanical system 24 – 26 , multi-resonators optomechanical system 27 , optomechanical system with N membranes 28 , two coupled optomechanical systems 29 and the multi-cavity optomechanical system 30 . In particular, achieving multi-OMIT phenomenon shows many practical applications for the multi-channel optical communication and quantum information processing, which motivate the further investigation on such OMIT.…”

“…Currently, a hybrid cavity optomechanical system containing atoms has attracted much attention. The additional control of atomic freedom can lead to rich physics resulted from the enhanced nonlinearities and the strengthened coupling strength, which can also provide an coherent optical controlled method to change the width of the transparency window 25 , 26 , 31 , multistability of OMIT 32 and switch from single to double and multiple OMIT windows 30 . On the other hand, there has been a great interest in studying the phenomenon of EIT in the interacting Rydberg atoms system due to the strongly long range dipole-dipole interactions (DDI) or van der Waals interactions and long radiative lifetimes for many years 3 .…”

Induced Transparency with Optical Cavities

“…As for studies on transparency lineshapes, exotic spectral responses such as double/multiple OMIT and inverse OMIT have been manifested in different COM systems. [168][169][170][171][172][173][174][175][176][177][178][179][180] For example, Ma et al first proposed the tunable double OMIT via controlling the Coulomb interaction strength of two movable mirrors in a Fabry-Perot cavity, [169] and the system setup is shown in Figure 11d. Figure 11e shows the splitting evolution from single transparency window to double transparency windows by incorporating Coulomb coupling.…”