Regensburg 2013 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 58: Poster Session Transport & Matter at Low Temperature

TT 58.37: Poster

Thursday, March 14, 2013, 15:00–19:00, Poster D

Real Time Dynamics in the Central Spin Model: a Chebyshev Polynomial Approach — •Johannes Hackmann and Frithjof B. Anders — Technische Universität Dortmund, Lehrstuhl für Theoretische Physik II, 44221 Dortmund, Germany

The central spin model describes the dephasing of a single electron spin in a negatively doped semiconductor quantum dot. The real time dynamics of the system are studied using the Chebyshev polynomial expansion for arbitrary initial conditions. Typically, we include a representation of 20 nuclear spins in our simulations. We discuss the influence of different couplings between the central spin and the bath and compare our data to a mean field result. We extend our simulations and include a finite transverse magnetic field. We study the interplay of the Larmor precession and the spin dephasing as function of magnetic field strength. We gauge a simplified mean-field approach for a large number of spins with our numerical data for a small cluster.