Polariton Peaks from the Coupled System of the Spin Triplet Transition and the Cavity, Classically Considered in the Linear Approximation

Investigation of the spin-cavity polaritons (SCP) is important since they play decisive role for the creating long-storage quantum memories and optical interfaces, polaritonic chemistry and for the elaborating of masers, especially those which operate at room temperature being of the great significance for a lot of different applications. In this report, we suggest almost completely classical model for the description of the polaritonic peaks conditioned both by free and forced Rabi oscillations of the SCP system. Our investigation is based on the linearized coupled differential equations we derived semi-classically for the magnetization component of the transition of the spin triplet states and the varying field in a cavity, when the empty cavity is exactly tuned to the transition. The normal frequencies of this system of equations were found and the corresponding graphs were constructed for the appropriate values of the parameters. It is shown that the increase of the spin-photon coupling ​​can cause both pushing apart normal frequencies at a mutual decay rate (which is the known effect), and merging together normal decay rates at a mutual frequency (which is the predicted here effect). Polariton peaks observable by the cavity transmission function and by electron paramagnetic resonance (EPR) in the form of absorption and dispersion signals were also investigated and corresponding graphs were constructed. At that, instead of a transition of spin triplet states, a variety of other two-level systems (atoms, molecules, excitons and so on) can act as emitters. Since the value of the spin-photon coupling is of great interest for applied scientists, obtaining this value by comparing our results with experimental data is of great importance.