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- W1965195890 abstract "We consider the transport properties of multiple-particle quantum states in a class of one-dimensional systems with a single quantum impurity. In these systems, the local interaction at the quantum impurity induces strong and nontrivial correlations between the multiparticles. We outline an exact theoretical approach, based upon real-space equations of motion and the Bethe ansatz, that allows one to construct the full scattering matrix ($S$ matrix) for these systems. In particular, we emphasize the need for a completeness check upon the eigenstates of the $S$ matrix, when these states obtained from Bethe ansatz are used for describing the scattering properties. As a detailed example of our approach, we solve the transport properties of two photons incident on a single two-level atom, when the photons are restricted to a one-dimensional system such as a photonic crystal waveguide. Our approach predicts a number of nonlinear effects involving only two photons, including background fluorescence, spatial attraction and repulsion between the photons, as well as the emergence of a two-photon bound state." @default.
- W1965195890 created "2016-06-24" @default.
- W1965195890 creator A5013467616 @default.
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- W1965195890 date "2007-12-27" @default.
- W1965195890 modified "2023-10-18" @default.
- W1965195890 title "Strongly correlated multiparticle transport in one dimension through a quantum impurity" @default.
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- W1965195890 doi "https://doi.org/10.1103/physreva.76.062709" @default.
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