Quantum stochastic analysis of non-linear driven light emission

TL;DR

This paper develops a quantum stochastic framework for analyzing high harmonic generation in non-linear driven cavities, linking quantum optical models with open system dynamics to better understand emission properties.

Contribution

It introduces a quantum stochastic analysis of high harmonic generation in open, non-linear driven systems, connecting quantum optical models with open system descriptions.

Findings

Emission characteristics are isomorphic to high harmonic generation processes.

Upper bounds on radiated power are derived from emitter fluctuations.

The approach bridges quantum optical models with open system dynamics.

Abstract

This work extends quantum optical models of high harmonic generation by considering a quantum stochastic analysis of the field modes coupled to an environment. In particular, we study the open system dynamics by solving the quantum Langevin equation for a non-linear driven cavity coupled to the environment. For an unstructured environment without memory, we show that the emission characteristics of the intense driven cavity is isomorphic to the process of high harmonic generation and a non-linear antenna. This is achieved by using the quantum regression theorem for the Markovian dynamics, and further allows to obtain the upper bound of the radiated power due to the emitter fluctuations. This opens the path to connect current quantum optical approaches of HHG with open system descriptions and towards driven-dissipative systems in the non-linear regime.