Scattering of electrons from an interacting region

Abstract

We address the problem of transmission of electrons between two noninteracting leads through a region where they interact (quantum dot). We use a model of spinless electrons hopping on a one-dimensional lattice and with an interaction on a single bond. We show that all the two-particle scattering states can be found exactly. Comparisons are made with numerical results on the time evolution of a two-particle wave packet and several interesting features are found for scattering. For N particles the scattering state is obtained by perturbation theory. For a dot connected to Fermi seas at different chemical potentials, we find an expression for the change in the Landauer current resulting from the interactions on the dot. We end with some comments on the case of spin-1/2 electrons.

5 pages including 2 figures; this is the final version published in Physical Review Letters

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Cited by in corpus (19)

• Strongly interacting photons in one-dimensional continuum
• Persistent Quantum Beats and Long-Distance Entanglement from Waveguide-Mediated Interactions
• Two-photon scattering by a driven three-level emitter in a one-dimensional waveguide and electromagnetically induced transparency
• Numerically exact path integral simulation of nonequilibrium quantum transport and dissipation
• Few-photon optical diode
• Correlated few-photon transport in one-dimensional waveguides: linear and nonlinear dispersions
• Exact scattering eigenstates, many-body bound states, and nonequilibrium current of an open quantum dot system
• Cascaded two-photon nonlinearity in a one-dimensional waveguide with multiple two-level emitters
• Effects of local periodic driving on transport and generation of bound states
• Full density matrix dynamics for large quantum systems: Interactions, Decoherence and Inelastic effects
• Nonequilibrium charge transport in an interacting open system: two-particle resonance and current asymmetry
• Collision of two interacting electrons on a mesoscopic beamsplitter: exact solution in the classical limit
• Symmetric and asymmetric charge transport in interacting asymmetric quantum impurities
• Two mesoscopic models of two interacting electrons
• Impurity-directed Transport within a Finite Disordered Lattice
• Coherent charge and spin oscillations induced by local quenches in nanowires with spin-orbit coupling
• Universal Scaling of the Quantum Conductance of an Inversion-Symmetric Interacting Model
• Interacting Non-equilibrium Systems with Two Temperatures
• Photon Correlations Generated by Inelastic Scattering in a One-Dimensional Waveguide Coupled to Three-Level Systems