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This theoretical study investigates how low anharmonicity in transmon-based artificial atoms suppresses stimulated emission within waveguide quantum electrodynamics, revealing significant correlation effects like photon bunching. The findings are critical for optimizing circuit QED architectures where the third energy level's influence must be managed to preserve desired scattering dynamics.
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Stimulated emission for a three-level artificial atom in waveguide quantum electrodynamics

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arXiv:2610.09776v1 Announce Type: new Abstract: This work is devoted to a theoretical study of the interaction of a quantum three-level ladder system with a continuous electromagnetic field in a one-dimensional open waveguide. We consider a situation closely resembling stimulated emission - the scattering of a single-photon exponential pulse by an excited three-level emitter. Using the real-space formalism, we obtain an analytical expression for the wavefunction of our system. We show that, for the low anharmonicity of a three-level system inherent to a transmon (the most common type of artificial atom), the influence of the third level can have a significant effect on the system's behavior. Namely, the presence of the third level largely suppresses the stimulated emission effect if the relative anharmonicity is lower than $| \alpha_r | < 4\%$. However, for a three-level system, it is possible to obtain correlation effects such as photon bunching in the reflected field, which can also be 'switched off' by tuning the incident photon parameters.

Abstract:This work is devoted to a theoretical study of the interaction of a quantum three-level ladder system with a continuous electromagnetic field in a one-dimensional open waveguide. We consider a situation closely resembling stimulated emission - the scattering of a single-photon exponential pulse by an excited three-level emitter. Using the real-space formalism, we obtain an analytical expression for the wavefunction of our system. We show that, for the low anharmonicity of a three-level system inherent to a transmon (the most common type of artificial atom), the influence of the third level can have a significant effect on the system's behavior. Namely, the presence of the third level largely suppresses the stimulated emission effect if the relative anharmonicity is lower than $| \alpha_r | < 4\%$. However, for a three-level system, it is possible to obtain correlation effects such as photon bunching in the reflected field, which can also be 'switched off' by tuning the incident photon parameters.

arXiv:2610.09776 [quant-ph]

(or arXiv:2610.09776v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2610.09776 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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