Which optical processes are suitable to make probabilistic single photon sources for quantum cryptography?

TL;DR

This paper investigates the potential of multiwave mixing processes to generate higher order antibunching in single photon sources, crucial for quantum cryptography, by analyzing various Hamiltonian models and applying specific criteria.

Contribution

It provides a theoretical analysis of HOA in multiwave mixing processes, identifying conditions under which HOA can be observed in pump modes but not in signal or Stokes modes.

Findings

HOA observed in pump modes of multiwave mixing processes

HOA not observed in signal and Stokes modes in studied cases

Theoretical framework using generalized Hamiltonian and Pathak-Garcia criterion

Abstract

Single photon sources to be used in quantum cryptography must show higher order antibunching (HOA). HOA is reported by us in several many wave mixing processes. In the present work we have investigated the possibility of observing HOA in multiwave mixing processes in general. The generalized Hamiltonian is solved for several particular cases in Heisenberg picture and possibility of observing HOA is investigated with the help of criterion of Pathak and Garcia. Several particular cases of the generalized Hamiltonian are solved with the help of short time approximation technique and HOA is reported for pump modes of different multiwave mixing processes. It is also found that HOA can not be observed for the signal and stokes modes in of the cases studied here.