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Analytical solution of the time evolution of an entangled electron spin pair in a double quantum dot nanostructure

M. Blaauboer
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Abstract

Using master equations we present an analytical solution of the time evolution of an entangled electron spin pair which can occupy 36 different quantum states in a double quantum dot nanostructure. This solution is exact given a few realistic assumptions and takes into account relaxation and decoherence rates of the electron spins as phenomenological parameters. Our systematic method of solving a large set of coupled differential equations is straightforward and can be used to obtain analytical predictions of the quantum evolution of a large class of complex quantum systems, for which until now commonly numerical solutions have been sought.

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M. Blaauboer. 2005-08-28. Analytical solution of the time evolution of an entangled electron spin pair in a double quantum dot nanostructure. https://doi.org/10.1063/1.2007629

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