Quantum theory for two-photon-state generation by means of four-wave mixing in optical fiber

Jun Chen; Xiaoying Li; Prem Kumar

doi:10.1117/12.560665

19 October 2004 Quantum theory for two-photon-state generation by means of four-wave mixing in optical fiber

Jun Chen, Xiaoying Li, Prem Kumar

Proceedings Volume 5551, Quantum Communications and Quantum Imaging II; (2004) https://doi.org/10.1117/12.560665
Event: Optical Science and Technology, the SPIE 49th Annual Meeting, 2004, Denver, Colorado, United States

Abstract

We present a quantum theory for generating two-photon states by means of four-wave mixing in optical fiber. We start with an interaction Hamiltonian that can correctly describe all nonlinear interactions among the four waves present in the fiber, namely, the frequency non-degenerate pumps, signal, and idler, including the terms responsible for self-phase modulation (SPM), cross-phase modulation (XPM), and four-photon scattering (FPS). The exact form of this Hamiltonian is obtained through comparison between the classical and quantum equations of motion. The two-photon state is then calculated by means of first-order perturbation theory. It turns out that only the FPM and the pump SPM terms contribute to the formation of the two-photon state. The entangled nature of this state is verified in a coincidence counting experiment. The results of the theoretical calculation agree well with experimental data.

Citation Download Citation

Jun Chen, Xiaoying Li, and Prem Kumar "Quantum theory for two-photon-state generation by means of four-wave mixing in optical fiber", Proc. SPIE 5551, Quantum Communications and Quantum Imaging II, (19 October 2004); https://doi.org/10.1117/12.560665

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