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Quantum master equations for the superconductor--dot entangler

arXiv:cond-mat/0402416 · doi:10.1103/PhysRevB.70.245313

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.

33 pages, 9 figures