Quantum master equations for the superconductor--dot entangler

Authors:
  • OSOlivier Sauret
    Olivier Sauret
  • DFDenis Feinberg
    Denis Feinberg
  • TMThierry Martin
    Thierry Martin
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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.