Polarized double dressing control of biphotons interference and quantum tomography

We research the polarized dressing control of biphotons interference and quantum tomography. Different biphotons counting rates are obtained by different polarization dressings of incident beams of lights. We calculated the counting rates of all polarized dressing schemes. The counting rate of circularly polarized dressing has been observed with shorter period of oscillation and a longer coherence time when compared with linear polarization. Since, the different polarization dressings result in different modules of third-order nonlinear susceptibilities and different linewidths. Thus, we can adjust the dressing field by changing the polarization of the incident beam of light to obtain controlled pair of photons with desired longer coherence time. Based on that, we study the impact of the two dressing fields which cause the third-order nonlinear susceptibility to be different. In the absence and presence of external dressing field, the biphoton coincidence rate is completely different. By performing quantum tomography, we get various Werner-states and the polarization states of incident lights, this also helps in comprehensive characterization of output state. Further, we define the interference visibility for different polarized dressed states. The visibility of the circularly polarized dressing field is found to be larger when compared with linearly polarized dressing field. Thus, we can obtain photons with controllable coherence time and desired visibility with different polarization schemes to uncover the indistinguishability of photon interference and promote the study of quantum optics.