Quantum noise generated by four-wave mixing process within a fiber ring resonator |
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Authors: | C. Sripakdee |
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Affiliation: | a Department of Applied Physics, Faculty of Science and Technology, Rajamangala University of Technology Phra Nakhon, Bang Sue District, Pibulsongkram Road, Bangkok 10800, Thailand b Advanced Research Center for Photonics, Faculty of Science, King Mongkut's Institute of Technology Ladkrabang, Bangkok 10520, Thailand |
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Abstract: | We have analyzed the dissipative effect of the entangled photons generated by a nonlinear optical ring resonator from a non-degenerate four-wave mixing (FWM) process. The system and reservoir Hamiltonian are established in the interaction picture. To eliminate the reservoir operators, the Markov approximation is used and result them in a Linblad form in the master equation. Consequently, the positive P representation can recast this equation to the Fokker-Planck equation, and then the stochastic differential equations i.e., the entangled photon state equation of motion for photons propagating in the fiber, are obtained and easy to analyze numerically. Results obtained have shown that the entangled strength measurement depends on three main factors; first the nonlinear susceptibility of the third harmonic generation, second the damping rate that represents loss of energy from the system to the reservoir, and final the diffusion of fluctuations in the reservoir into the entangled photon modes. |
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Keywords: | Quantum noise Entangled photon FWM Markov approximation Stochastic |
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