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Strongly Correlated Two-Photon Transport in One-Dimensional Waveguide Coupled to A Two-Level System

Jung-Tsung Shen·Shanhui Fan
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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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Jung-Tsung Shen, Shanhui Fan. 2007-03-13. Strongly Correlated Two-Photon Transport in One-Dimensional Waveguide Coupled to A Two-Level System. https://doi.org/10.1103/physrevlett.98.153003

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