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

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

2005-08-28

arxiv.org/abs/cond-mat/0508662v1

J. Math. Phys. 46, 083518 (2005)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

23 pages, 3 figures

Scientific paper

10.1063/1.2007629

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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