An analysis of open quantum systems with interactions and its application to the theory of electron conduction

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We studied interacting open quantum dot systems through an exact solution of many-electron scattering eigenstates. First, we investigated the electron transport property of an open quantum dot system described by the two-lead interacting resonant-level model. The exact many-electron scattering states that we constructed are not in the form of the known Bethe eigenstates in the sense that the wave-number set of the incident plane wave is not conserved during the scattering and many-body bound states appear after the scattering. By applying the scattering states to an extension of the Landauer formula, we calculated the average electric current through the quantum dot under a finite bias voltage. The current-voltage characteristics that we obtained by taking the two-body bound state into account qualitatively agrees with several known results. Next, we theoretically proposed entanglement generation through an open quantum dot system described by the two-lead Anderson model. We exactly obtained the transition rate between the non-entangled incident state in one lead and the outgoing spin-singlet state in the other lead. We found that only the spin-singlet state can transmit in a cotunneling scattering process.