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TT: Fachverband Tiefe Temperaturen

TT 44: Poster Session Correlated Electrons

TT 44.73: Poster

Donnerstag, 17. März 2011, 10:00–13:00, P1

Factorization of time-dependent correlation functions for the central spin model — •Fabian Güttge, Jasmin V. Jäger, and Frithjof B. Anders — Technische Universität Dortmund, Lehrstuhl für Theoretische Physik II, 44221 Dortmund, Germany

The spin of an electron trapped in a semiconductor quantum dot has been suggested as a possible realisation of a solid-state qubit. The major source of decoherence in such devices is the hyperfine coupling to the nuclear spins. We model this system by a central spin coupled to a finite number of independent nuclear bath spins. The time-dependent two-, three and four-particle correlation functions are calculated using exact diagonalization. We investigate under which conditions the correlation functions can be factorized by neglecting higher order cummulant corrections. This provides information about the applicability of equation of motion decoupling schemes which scale linear with the number of bath spins.