Strongly-correlated multi-particle transport in one-dimension through a quantum impurity: an outline of exact and complete solutions

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dc.creatorShen, Jung-Tsung
dc.creatorFan, Shanhui
dc.date2007-07-30
dc.date.accessioned2026-07-07T09:20:04Z
dc.date.available2026-07-07T09:20:04Z
dc.descriptionWe 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 non-trivial correlations between the multi-particles. 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 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 novel 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.
dc.description67 pages, 11 figures
dc.identifierhttps://arxiv.org/abs/0707.4335
dc.identifierhttp://arxiv.org/abs/0707.4335
dc.identifierPhys. Rev. A 76, 062709 (2007)
dc.identifierdoi:10.1103/PhysRevA.76.062709
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/154612
dc.subjectQuantum Physics
dc.titleStrongly-correlated multi-particle transport in one-dimension through a quantum impurity: an outline of exact and complete solutions
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