Propagative quantum optics for stratified nonlinear media

Garrett D. Compton

doi:10.1117/12.3028324

4 October 2024 Propagative quantum optics for stratified nonlinear media

Garrett D. Compton

Proceedings Volume 13148, Quantum Communications and Quantum Imaging XXII; 131480C (2024) https://doi.org/10.1117/12.3028324
Event: Optical Engineering + Applications, 2024, San Diego, California, United States

Abstract

The typical approach to quantum optics is to quantize the electromagnetic field over a volume of space and evolve the field in time with the Hamiltonian. To do this, one should know a priori the spatial modes of the theory. However, for nonlinear optics in structured media it is often challenging to form a basis of solutions. To circumvent this issue, we derive a theory of flux quantization in which the equations of motion evolve the field operators through space. The equal space canonical commutation relations are adjusted to make the quantum theory more amenable to solving steady state solutions. We conclude by outlining the form of a transfer matrix superoperator method for obtaining steady state solutions to photon fields in stratified nonlinear dielectrics.

Conference Presentation

(2024) Published by SPIE. Downloading of the abstract is permitted for personal use only.

Citation Download Citation

Garrett D. Compton "Propagative quantum optics for stratified nonlinear media", Proc. SPIE 13148, Quantum Communications and Quantum Imaging XXII, 131480C (4 October 2024); https://doi.org/10.1117/12.3028324

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