Quantum theory of wave mixing on a two-level system

• URL: http://arxiv.org/abs/2309.01444v1
• Date: Mon, 4 Sep 2023 08:52:00 GMT
• Title: Quantum theory of wave mixing on a two-level system
• Authors: A. A. Elistratov, S. V. Remizov, W. V. Pogosov, A. Yu. Dmitriev, and O. V. Astafiev
• Abstract summary: We apply the scattering matrix formalism to wave mixing on a quantum two-level system. We show that the spectrum observed in the experiment is the result of bosonic stimulated scattering of photons from one mode of the bichromatic drive to another and vice versa.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We apply the scattering matrix formalism to wave mixing on a quantum two-level system. We carry out the fermionization of the two-level system degrees of freedom using the Popov-Fedotov semions, calculate n-particle Green's function, and apply the Lehmann-Symanzik-Zimmermannn reduction procedure. Using the developed approach, we provide a consistent quantum explanation of the appearance of coherent side peaks observed in an experiment on the scattering of bichromatic radiation on a two-level artificial atom \cite{dmitriev2019probing}. We show that the spectrum observed in the experiment is the result of bosonic stimulated scattering of photons from one mode of the bichromatic drive to another and vice versa.

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