Supersymmetry in nonlinear and linear Quantum Optics: the Kerr-like and multiphoton Jaynes-Cummings models

TL;DR

This paper introduces a supersymmetric approach to analyze counter-rotating Hamiltonians in cavity quantum electrodynamics, enabling exact solutions and revealing new physical insights with potential technological applications.

Contribution

It develops a supersymmetric mapping method for counter-rotating systems, providing a fully analytical framework for their analysis in quantum optics.

Findings

Exact analytical solutions for counter-rotating Hamiltonians

Identification of novel features via supersymmetric transformation

Potential applications in quantum photonic technologies

Abstract

A novel approach is proposed to analyze a rather vast counter-rotating Hamiltonian interaction in the context of cavity quantum electrodynamics. The method relies upon the supersymmetric mapping of the corresponding rotating interaction and allows the analysis of the dynamics in the counter-rotating system in a fully general and exact analytical manner. Intriguing features of the counter-rotating system are revealed through the simple supersymmetric transformation. In turn, such interesting attributes have an important range of potential technological applications. In this way, supersymmetry emerges as a useful tool to both connect and construct exactly solvable photonic systems in cavity quantum electrodynamics, and more generally in quantum optics, as well as to analyze the corresponding physical consequences and their possible technology implementations.