Exact scattering eigenstates, many-body bound states, and nonequilibrium current of an open quantum dot system

TL;DR

This paper derives exact many-body scattering eigenstates for an open quantum dot system, revealing non-conservation of wave numbers and the emergence of bound states, and analyzes the resulting nonequilibrium current-voltage behavior.

Contribution

It introduces an exact solution for many-body scattering states in an open quantum dot, including bound states, and studies their impact on current-voltage characteristics.

Findings

Wave-number set is not conserved during scattering.

Many-body bound states significantly influence transport.

Current-voltage characteristics match known qualitative behaviors.

Abstract

We obtain an exact many-body scattering eigenstate in an open quantum dot system. The scattering state is not in the form of the Bethe eigenstate in the sense that the wave-number set of the incoming plane wave is not conserved during the scattering and many-body bound states appear. By using the scattering state, we study the average nonequilibrium 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 is qualitatively similar to several known results.