Electron interference and entanglement in coupled 1D systems with noise

TL;DR

This paper investigates how environmental noise affects entanglement and interference in coupled 1D semiconductor systems, providing insights into decoherence and entanglement measurement through electron detection probabilities.

Contribution

It analyzes the impact of noise on electron interference and entanglement in coupled 1D systems, linking phase randomization to decoherence and entanglement detection.

Findings

Noise causes phase randomization reducing interference visibility.

Detection probabilities can quantify decoherence and entanglement.

Results guide experimental assessment of quantum coherence in electron systems.

Abstract

We estimate the role of noise in the formation of entanglement and in the appearance of single- and two-electron interference in systems of coupled one-dimensional channels semiconductors. Two cases are considered: a single-particle interferometer and a two-particle interferometer exploiting Coulomb interaction. In both of them, environmental noise yields a randomization of the carrier phases. Our results assess how that the complementarity relation linking single-particle behavior to nonlocal quantities, such as entanglement and environment-induced decoherence, acts in electron interferometry. We show that, in a experimental implementation of the setups examined, one- and two-electron detection probability at the output drains can be used to evaluate the decoherence phenomena and the degree of entanglement.