Derives explicit non-perturbative renormalization relations between bare parameters and physical observables in waveguide QED to handle IR and UV cutoffs in simulations.
Quantum description of light pulse scattering on a single atom in waveguides
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abstract
We present a time dependent quantum calculation of the scattering of a few-photon pulse on a single atom. The photon wave packet is assumed to propagate in a transversely strongly confined geometry, which ensures strong atom-light coupling and allows a quasi 1D treatment. The amplitude and phase of the transmitted, reflected and transversely scattered part of the wave packet strongly depend on the pulse length (bandwidth) and energy. For a transverse mode size of the order of $\lambda^2$, we find nonlinear behavior for a few photons already, or even for a single photon. In a second step we study the collision of two such wave packets at the atomic site and find striking differences between Fock state and coherent state wave packets of the same photon number.
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Renormalization Treatment of IR and UV Cutoffs in Waveguide QED and Implications to Numerical Model Simulation
Derives explicit non-perturbative renormalization relations between bare parameters and physical observables in waveguide QED to handle IR and UV cutoffs in simulations.