Assessing the effect of the coupling parameter of dimer parity-time symmetric laser on the stability of polaron in semiconductors quantum dot

This manuscript theoretically investigates the stability of polaron in semiconductor quantum dot (SCQD) under the influence of the coupling coefficient of dimer parity-time (PT) symmetric. We have analytically solved the problem of two coupled lasers to calculate the eigenvalues and eigenvectors of different lasers and the intensities of the radiations emitted by each of them. Using the Lee-Low-Pines-Huybrecht (LLPH) method, we derive the ground and first excited state energies of polaron in different SCQD of our choice including Gallium Arsenide (GaAs), Cadmium Selenide (CdSe), Titanium Chloride (TiCl) and potassium bromide (KBr). Doing so, we chose to perform our study within three principal regimes of lasers: i.e. the PT symmetric domains ( γ = 1 ), close to the transition zone ( γ = 1.8 ) and above the transition zone ( γ = 3 ). The superposition of these two energy states forms a two levels system (TLS) which is considered as a quantum bit, allowing us to evaluate the probability density. Our results indicate that under threshold value ( γ t h r = 2 Ω ) , the system is PT symmetry and both KBr and GaAs are more relevant SCQD materials. Nearest the threshold, TiCl is especially relevant. Finally, beyond the critical point of coefficient gain-loss, CdSe is quite indicated when investigating the interaction of a PT symmetry coupled lasers. In addition to the above observation, we found coherent population transfer from the first excited state to the ground state and scattering phenomenon, showing that the polaron state can be controlled with PT symmetry coupled laser. These findings indicate that the coupling coefficient of dimer PT symmetric provides a means to manipulate the dynamics of polarons under laser radiation, offering potential applications in optoelectronics and quantum technologies. • The stability of polaron in semiconductor quantum dot is investigated. • The ground and first excited state energies of polaron in different SCQD is derived with the help of LLPH method. • When investigating the interaction of a PTS lasers, GaAs and KBr are more relevant SCQD materials under the threshold value ( γ t h r = 2 Ω ) • PT symmetric coupled lasers can be used to control the state of polaron in a system. • Coupling coefficient of dimer PT symmetric influences the dynamics of polarons under laser radiation.