Dresden 2009 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 44: Transport: Quantum Coherence and Quantum Information

TT 44.2: Talk

Thursday, March 26, 2009, 14:15–14:30, HSZ 304

Electron and nuclear spins in double quantum dots — •Björn Erbe and John Schliemann — Institute for Theoretical Physics, University of Regensburg

Apart from fundamental interest, double quantum dots play a central role in the realization of solid state quantum computers. In the relevant set-ups, the spins of the confined electrons are controllable coupled to each other and, via hyperfine interaction, to the surrounding nuclear spins. On the one hand these can be regarded as a decohering environment for the electron system, on the other one they themselves can serve as a quantum information processing resource [1,2].

Just like the well-studied Gaudin type Hamiltonian of a single quantum dot [3], in general the Hamiltonian of a double quantum dot is very difficult to treat. We will present analytical as well as numerical results concerning simplications of the full Hamiltonian, appropriate for the different roles of the nuclear system.

[1] J.M. Taylor et al., cond-mat/0407640 (2006)

[2] D. Loss and D. DiVincenco, Phys. Rev. A 57, 120 (1998)

[3] J. Schliemann et al., J.Phys.: Condens. Matter 15 (2003)

R1809-R1833