International Workshop on ''Atomic Physics''
mpipks

November 24 - 28, 2008

POSTER PRESENTATION


Quantum walks on complex networks

Oliver Mülken
Universität Freiburg
We show that networks with certain classes of their densities of states (DOS) result in inefficient performances of continuous-time quantum walks (CTQW) over these networks, while other classes of DOS lead to very efficient transport. We exemplify our results by considering CTQW and, for comparison, its classical counterpart, continuous-time random walks, over various structures, ranging from linear systems to hyper-branched molecules.

[1] E. Agliari, A. Blumen, OM; J. Phys. A, in press (2008)
[2] OM; arXiv:0710.3453 (2007)
[3] OM, V. Pernice, A. Blumen; Phys. Rev. E 76, 051125 (2007)