Landauer Current and Mutual Information

TL;DR

This paper investigates the relationship between Landauer current and entanglement in a quantum dot system, revealing a strong correlation and the ability to generate maximal entanglement through voltage application.

Contribution

It provides an exact analysis of the nonequilibrium entanglement dynamics in a quantum dot using mutual information, highlighting the correlation with current and entanglement control via voltage.

Findings

Strong correlation between current and entanglement at all times.

Quadratic relationship between steady-state entanglement and temperature.

Maximal entanglement achievable by applying large source-drain voltage.

Abstract

We study quantum evolution of the entanglement of a quantum dot connected to left and right leads initially maintained at chemical potentials $\mu_{L}$ and $\mu_{R}$ respectively, within the non-interacting resonant-level model. The full nonequilirbium mixed state density matrix of the whole system is written down exactly, and entanglement is computed by recourse to the notion of mutual information. A strong and direct correlation is found between the Landauer current, and the entanglement at all times, the steady-state values in particular displaying a quadratic relationship at high temperatures. Strikingly, it is found that one can obtain a maximally entangled quantum dot by simply applying a sufficiently large `source-drain' voltage $V_{SD}$ even at high temperatures.