Stochastic model for the motion of correlated photon pairs

John Rarity, P. R. Tapster

Chatchawal Sripakdee

The aim of this study is to analyze the quantum correlation of entangled photons for four-wavemixing process within Kerr nonlinear susceptibility χ(3) of an optical fiber ring resonator. The main system Hamiltonian composes of two types of coupling photon modes, including pumping and parametric-down conversion. Wigner representation is applied to the Heisenberg equation of motion derived from the system Hamiltonian in order to obtain the corresponding stochastic equations of motion in a c-number. Quantum trajectories obtained from the stochastic equation of motion of photon states are then derived. Finally, the entanglement inseparability criteria for a pair of entangled photonfrom a numerical approach is also satisfied.

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Christian Kurtsiefer, Oliver Dross, D. Voigt +3 more

We report on an experimental observation of correlated atom-photon pairs produced in an atom-optical experiment. The pairs are generated from an excited atom that spontaneously emit a single photon. Clear evidence for the pair identification as well as correlation measurements in the atomic motion are reported.

C. H. Raymond Ooi, Sangkyung Lee, Byung‐Gyu Kim +3 more

Photon pairs possess nonclassical properties such as antibunching, squeezing and entanglement that are useful in quantum information science, and has so far been studied predominantly for fixed atom. Here, we quantized the center of mass motion and study the effect of atomic motion on the quantum correlation, entanglement and squeezing between a Stokes photon and an anti-Stokes photon generated in a coherently driven double Raman scheme. We study how the laser fields can be used to control these nonclassical properties. The underlying physics are explained via a simple model.

B. M. Garraway, M.S. Kim, W. Power +1 more