Quantum theory of light and noise polarization in nonlinear optics

Abstract

We present a consistent quantum theory of the electromagnetic field in nonlinearly responding causal media, with special emphasis on ${\chi }^{(2)}$ media. Starting from QED in linearly responding causal media, we develop a method to construct the nonlinear Hamiltonian expressed in terms of the complex nonlinear susceptibility in a quantum mechanically consistent way. In particular we show that the method yields the nonlinear noise polarization, which together with the linear one is responsible for intrinsic quantum decoherence.

4 pages, no figures

References in corpus (3)

• Field quantization in inhomogeneous absorptive dielectrics
• On improving single photon sources via linear optics and photodetection
• Post-processing with linear optics for improving the quality of single-photon sources

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