Quantum master equations for the superconductor--dot entangler

TL;DR

This paper develops quantum master equations to model a superconductor-dot entangler, accurately capturing parasitic processes and calculating current and charge state probabilities to understand device operation.

Contribution

It introduces a fully consistent, non-perturbative derivation of quantum master equations for the superconductor-dot entangler from a microscopic Hamiltonian, including parasitic effects.

Findings

Calculated average current including entangled and non-entangled pairs

Analyzed charge state probabilities to determine operational constraints

Provided a detailed theoretical framework for superconductor-dot entangler operation

Abstract

The operation of a source of entangled electron spins, based on a superconductor and two quantum dots in parallel\cite{loss}, is described in detail with the help of quantum master equations. These are derived including the main parasitic processes in a fully consistent and non-perturbative way, starting from a microscopic Hamiltonian. The average current is calculated, including the contribution of entangled and non-entangled pairs. The constraints on the operation of the device are illustrated by a calculation of the various charge state probabilities.