arXiv:cond-mat/0508662 · Journal of Mathematical Physics

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

M. Blaauboer

Published Aug 1, 2005• 3 citations

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.

DOI: 10.1063/1.2007629

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