2007/07/30 by Jung-Tsung Shen, Jung‐Tsung Shen, Shanhui Fan · 4 citations
Computer Science · Physics and Astronomy · #Quantum Information and Cryptography #Quantum and electron transport phenomena #Semiconductor Quantum Structures and Devices #quant-ph
paper · pdf · doi:10.1103/physreva.76.062709
published as Phys. Rev. A 76, 062709 (2007) · 67 pages, 11 figures
arxiv created 2007/07/30 · openalex publication_date 2007/12/27 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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.