Solving the scattering of N photons on a two-level atom without computation

Abstract

We propose a novel approach for solving the scattering of light onto a two-level atom coupled to a one-dimensional waveguide. We first express the physical quantity of interest in terms of Feynman diagrams and treat the atom as a non-saturable linear beamsplitter. By using the atomic response to our advantage, a relevant substitution is then made that captures the nonlinearity of the atom, and the final result is obtained in terms of simple integrals over the initial incoming wavepackets. The procedure is not limited to post-scattering quantities and allows for instance to derive the atomic excitation during the scattering event.

15 pages, 4 figures

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• Multiphoton pulses interacting with multiple emitters in a one-dimensional waveguide
• Photon Scattering from a System of Multi-Level Quantum Emitters. II. Application to Emitters Coupled to a 1D Waveguide
• One- and Two-Photon Scattering by Two Atoms in a Waveguide
• Fundamental limits of pulsed quantum light spectroscopy: Dipole moment estimation
• Diagrammatic Approach to Multiphoton Scattering
• Few-photon Fock-state wave packet interacting with a cavity-atom system in a waveguide: Exact quantum state dynamics
• Analytic Few Photon Scattering in Waveguide QED
• Fano Interference in Two-Photon Transport
• Two-level atom excitation probability for single- and $N$-photon wavepackets
• Quantum trajectories for a system interacting with environment in N-photon state
• Measurement of deep-subwavelength emitter separation in a waveguide-QED system
• From a posteriori to a priori solutions for a two-level system interacting with a single-photon wavepacket
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• Generating maximal entanglement between spectrally distinct solid-state emitters
• Limits to single photon transduction by a single atom: Non-Markov theory
• Correlated Dephasing Noise in Single-photon Scattering
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• WaveguideQED.jl: An Efficient Framework for Simulating Non-Markovian Waveguide Quantum Electrodynamics
• Photon counting probabilities of the output field for a single-photon input
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