Derives explicit non-perturbative renormalization relations between bare parameters and physical observables in waveguide QED to handle IR and UV cutoffs in simulations.
Strongly Correlated Two-Photon Transport in One-Dimensional Waveguide Coupled to A Two-Level System
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abstract
We show that two-photon transport is strongly correlated in one-dimensional waveguide coupled to a two-level system. The exact S-matrix is constructed using a generalized Bethe-Ansatz technique. We show that the scattering eigenstates of this system include a two-photon bound state that passes through the two-level system as a composite single particle. Also, the two-level system can induce effective attractive or repulsive interactions in space for photons. This general procedure can be applied to the Anderson model as well.
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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.