Rabi oscillation generation in the microring resonator system with double-series ring resonators

Abstract

In this paper, a microring resonator (MRR) system using double-series ring resonators is proposed to generate and investigate the Rabi oscillations. The system is made up of silicon-on-insulator and attached to bus waveguide which is used as propagation and oscillation medium. The scattering matrix method is employed to determine the output signal intensity which acts as the input source between two-level Rabi oscillation states, where the increase of Rabi oscillation frequency with time is obtained at the resonant state. The population probability of the excited state is higher and unstable at the optical resonant state due to the nonlinear spontaneous emission process. The enhanced spontaneous emission can be managed by the atom (photon) excitation, which can be useful for atomic related sensors and single-photon source applications.Optical microring resonator (MRR) has emerged as a potential photonic structure in integrated technology with low power consumption [1] . MRR contributes in various technological applications, such as optical sensors [2] , optical amplification [3] , polarization conversion [4] , optofluidic devices [5] , optical spin generators [6] , frequency shifters [7] and on-chip spectrometry bio-analysis [8] . In quantum, the interaction between atoms and electromagnetic field is described precisely by the energy state transition as interaction phenomenon occurs in small distance with short time.The probability of atom transition between two energy levels is used to explain the interaction between electromagnetic field and atoms. Based on the perturbation theory, the atomic state population remains constant, as the probability amplitude of an atom transiting to other energy states is small. However, in presence of strong light field, the atomic population increases in higher energy level [9] . The probability of atom transition is found in form of oscillation against time which shows that the atom could be in ground or higher energy level, and such oscillations are known as Rabi oscillation [10] . The energy states for a system can be analyzed using the Hamiltonian of time-dependent Schrodinger equation for the light-atom interaction.In this paper, a theoretical formulation for the optical bright soliton pulse propagation within the nonlinear silicon-on-insulator (SOI) double-series microring resonator (DSMRR) system is presented based on optical transfer function [11] and scattering matrix method [12] . The SOI shows the nonlinear optical properties at various wavelengths, which provides strong light confinement [13] and is suitable for high-speed passive-waveguide applications. The Rabi oscillation at the through port of DSMRR system is described by the Hamiltonian, which represents the atoms with ambient surrounding as an unperturbed condition and the atoms interacting with optical bright soliton beam as a perturbed condition. The Rabi frequency equations for the interaction between atom and light within the DSMRR system are obtained by the analytical derivation of two-level atom approxima...

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