Dresden 2011 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 6: Quantum Dynamics, Decoherence, and Quantum Information I

DY 6.4: Talk

Monday, March 14, 2011, 14:45–15:00, ZEU 255

Environmental induced diffusion in simple networks — •Piet Schijven, Oliver Mülken, and Alexander Blumen — Physikalisches Institut, Albert-Ludwigs Universität Freiburg, Freiburg, BW

This work centers on the behaviour of excitations over simple networks coupled to an external environment. Previous work focussed on the excitonic transport in the presence of a trap (sink) over a dimer, coupled to the environment through the Lindblad formalism [1,2].

A problem with this approach is that larger couplings lead to a quantum Zeno effect. We propose a resolution to this problem by introducing different Lindblad operators such that classical diffusion is obtained for larger coupling strengths. This allows us, in the spirit of the quantum stochastic walk (QSW) [3], to interpolate between classical diffusion and coherent energy transport [4]. To illustrate this process, the influence of tuning the coupling on both a 2-node (dimer) and a 3-node (trimer) network will be discussed.

[1] O. Mülken, L. Mühlbacher, T. Schmid and A. Blumen, Phys. Rev. E 81, 041114 (2010)

[2] O. Mülken and T. Schmid, Phys. Rev. E 82, 042104 (2010)

[3] J.D. Whitfield et. al. Phys. Rev. A 81, 022323 (2010)

[4] P. Schijven, A. Blumen and O. Mülken, in preparation.