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Nanosystems Physics Chemistry Mathematics

Pump photons present in a non-linear process as a witnesses of nonclassicality of a system

Priyanka Priyanka, Savita Gill

Published Feb 27, 2022• 0 citations
Publisher

Abstract

We have studied non-classical effects, i.e. higher order photon antibunching (HOA) and higher order sub-Poissonian photon number statistics (HOSPS) in various non-linear optical processes like second harmonic generation, fourth harmonic generation, coherent anti-Stokes Raman scattering (CARS) and coherent anti-Stokes hyper-Raman scattering (CAHRS) using short time interaction techniques.The non-classical effects directly depend on number of photons prior to interaction with non-linear medium has already been studied but we have found that non-linear processes involving equal number of pump photons have same higher order photo antibunching (HOA) and higher order sub-Poissonian photon number statistics (HOSPS) independent of the non-linear process involved.KEYWORDS Higher order sub-Poissonian photon number statistics, higher order photon antibunching, optical processes.FOR CITATION Priyanka, Savita Gill Pump photons present in a non-linear process as a witnesses of nonclassicality of a system.

DOI
10.17586/2220-8054-2022-13-1-71-77

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We have studied non-classical effects, i.e. higher order photon antibunching (HOA) and higher order sub-Poissonian photon number statistics (HOSPS) in various non-linear optical processes like second harmonic generation, fourth harmonic generation, coherent anti-Stokes Raman scattering (CARS) and coherent anti-Stokes hyper-Raman scattering (CAHRS) using short time interaction techniques.The non-classical effects directly depend on number of photons prior to interaction with non-linear medium has already been studied but we have found that non-linear processes involving equal number of pump photons have same higher order photo antibunching (HOA) and higher order sub-Poissonian photon number statistics (HOSPS) independent of the non-linear process involved.KEYWORDS Higher order sub-Poissonian photon number statistics, higher order photon antibunching, optical processes.FOR CITATION Priyanka, Savita Gill Pump photons present in a non-linear process as a witnesses of nonclassicality of a system.
We have examined non classical effect i.e. higher order single mode antibunching and intermodel antibunching and higher order sub-poissonian photon statistics (HOSPS) in fifth harmonic generation non linear optical process using short time interaction technique.We have found that nonclassical effects directly depend on number of photons prior to interaction with non linear medium.The higher the number of photons present prior to an interaction, the higher will be the nonclassicality in the system.It is additionally found that stoke mode doesn't fulfill the condition of single mode antibunching and HOSPS in fifth harmonic generation process.To examine the optical nonlinearity of nanoparticles, there are significant research efforts concerning the estimation of higher order nonlinear susceptibility which can be utilized as a source for the generation of higher order harmonic generation nonlinear optical processes [19].
The study investigates antibunching, sub-Poissonian statistics, and photon correlation functions in the pump and harmonic modes of the seventh harmonic generation process.We investigated various approaches to photon antibunching by solving the generalised interaction Hamiltonian in the Heisenberg picture using short-time approximation.It is inferred that the number of pump photons, coupling of the field strength, and interaction times significantly influence photon antibunching.It is observed that third-order antibunching in the pump mode has greater nonclassicality than second-and first-order antibunching.In the harmonic mode, the nonclassical effect is found to be less pronounced and becomes more evident as the interaction time decreases.The first-order Hamiltonian interaction induces a stronger nonclassical effect than the second-order interaction.The interaction of a coherent pump field with a nonzero harmonic field leads to photon clustering and bunching effects.Finally, photon antibunching appears most pronounced, indicating nonclassicality, as the second-order correlation function decreases.This confirms that antibunching is a fundamental quantum property of light.
This paper aims to study the photons antibunching in the fundamental, Stokes and signal modes of CAHRS (coherent anti-Stokes hyper Raman scattering). The generalized interaction Hamiltonian was calculated for different conditions in the Heisenberg picture under short time approximation to observe photons antibunching in the fundamental, Stokes and signal modes of CAHRS. It has been found that antibunching in the fundamental field is dependent upon interaction time, photons number, and coupling strength of field. Third order photon antibunching is found to be nonclassical to a greater extent than second- and first-order photon antibunching for the identical pump photons count. It has been also observed that the effect of photon antibunching in Stokes and signal modes is less prominent than in the fundamental- mode. Furthermore, it is also found that antibunching will increase at short interaction timeswith the increase of depth of nonclassical behavior. Finally, the extent of photons antibunching peaks precisely where the second correlation function is lowest.
In seven wave mixing non-linear optical process having pump photons of dissimilar frequencies, higher order non classical properties were studied. It is shown that as we go into the higher order of the field amplitude and with an increase in the number of photons existing in the system before non-linear medium interaction, nonclassicality increases. In addition, we have also obtained higher order antibunching of photons that can be used as a criterion to obtain a single source of photons, which is the primary prerequisite for the quantum information processing.