Statistics of orbital entanglement production in quantum-chaotic dots

TL;DR

This paper statistically analyzes how quantum-chaotic dots produce orbitally entangled electrons, revealing signatures of time-reversal invariance and providing analytical distributions for entanglement measures.

Contribution

It offers the first complete analytical distributions of entanglement measures in quantum-chaotic dots, highlighting the role of time-reversal invariance.

Findings

Analytical expressions for concurrence distributions.

Signatures of time-reversal invariance in entanglement production.

Ability to produce maximally entangled Bell states.

Abstract

The production of orbitally entangled electrons in quantum-chaotic dots is investigated from a statistical point of view. The degree of entanglement is quantified through the concurrence and the entanglement of formation. We calculate the complete statistical distributions of the entanglement measures by using random matrix theory. Simple analytical expressions are provided for the concurrence distributions. We identify clear signatures of time-reversal invariance in the production of entanglement at the level of the entanglement-measure distributions, such as the ability of producing maximally entangled (Bell) states, which passed unnoticed in previous works where only the first two moments of the distributions were studied.