This work extends quantum optical models of high harmonic generation towards open systems, by considering a quantum stochastic analysis of the field modes coupled to an environment. We study the open system dynamics by solving the quantum Langevin equation for a nonlinear driven cavity coupled to an 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 nonlinear 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 high harmonic generation with open system descriptions and studies driven-dissipative systems in the nonlinear regime.

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• Cavity quantum electrodynamics
• High-order harmonic generation
• Quantum optics
• Quantum stochastic processes