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AIP conference proceedings

Spin mixing for one and two electron states in quantum dots

Thomas Grange, R. Ferreira, G. Bastard, Evgeny A. Zibik, P. J. Phillips, Luke R. Wilson, Maurice S. Skolnick

Published Jan 1, 2007• 0 citations
Publisher
DOI
10.1063/1.2730214

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The optical initialization and readout of an electron spin in a quantum dot involves often the lowest excited states of two electrons in a negative trion. The dynamics involves mixing of electron triplets and excited singlets. Typically, the mixing mechanism invoked has been electron‐hole exchange in the presence of dot lateral asymmetries, but this has not been always consistent with the observed dephasing rates. We describe here a more general and stronger singlet‐triplet mixing mechanism that does not require dot asymmetry.
We study two simple mesoscopic models of interacting two electrons; first one consists of two quantum coherent parallel conductors with long-range Coulomb interaction in some localized region and the other is of an interacting quantum dot (QD) side-coupled to a noninteracting quantum wire. We evaluate exact two-particle scattering matrix as well as two-particle current which are relevant in a two-particle scattering experiment in these models. Finally we show that the on-site repulsive interaction in the QD filters out the spin-singlet two-electron state from the mixed two-electron input states in the side-coupled QD model.
This Letter presents a method of electron entanglement generation. The system under consideration is a single-level quantum dot with one input and two output leads. The leads are arranged such that the dot is empty, single-electron tunneling is suppressed by energy conservation, and two-electron virtual cotunneling is allowed. Such a configuration effectively filters the singlet-state portion of a two-electron input, yielding a nonlocal spin-singlet state at the output leads. Coulomb interaction mediates the entanglement generation, and, in its absence, the singlet state vanishes. This approach is a four-wave mixing process analogous to the photon entanglement generated by a chi((3)) parametric amplifier.