Algebraic theory of an electro-optic modulator

TL;DR

This paper develops an algebraic Hamiltonian model for electro-optic modulators involving finite optical modes and microwave fields, analyzing quantum state transformations and mode interaction limits.

Contribution

It introduces an algebraic framework based on su(2) generators to describe multimode interactions in electro-optic modulators, linking restricted and traditional models.

Findings

Quantum state transformation features are characterized.

Limits on the number of interacting modes are established.

The algebraic model connects restricted and unrestricted approaches.

Abstract

Hamiltonian of a parametric process describing the interaction of a finite number of optical cavity modes, with the microwave field is proposed. Three-boson interaction is due to electro-optical effect. Analysis of the model is based on the algebraic properties of multimode field operators who, under certain assumptions, are su (2) algebra generators. The features of the transformation of the quantum states of signal photons in the electro-optical modulator are investigated. The limit on the number of interacting modes from the proposed (restricted) model to the traditionally used (unrestricted) model of electro-optical modulator is investigated.