112 citations · 443 across the 8 of their papers we have counts for
9 papers · 1 filter
Dynamics of continuous-time quantum walks in restricted geometries
E. Agliari, A. Blumen, O. Muelken
We study quantum transport on finite discrete structures and we model the process by means of continuous-time quantum walks. A direct and effective comparison between quantum and c…
Slow Excitation Trapping in Quantum Transport with Long-Range Interactions
Oliver Muelken, Volker Pernice, Alexander Blumen
Long-range interactions slow down the excitation trapping in quantum transport processes on a one-dimensional chain with traps at both ends. This is counter intuitive and in contra…
Universal Behavior of Quantum Walks with Long-Range Steps
Oliver Muelken, Volker Pernice, Alexander Blumen
Quantum walks with long-range steps ( being the distance between sites) on a discrete line behave in similar ways for all . This is in contrast to classical ran…
Survival Probabilities in Coherent Exciton Transfer with Trapping
Oliver Muelken, Alexander Blumen, Thomas Amthor +3
In the quest for signatures of coherent transport we consider exciton trapping in the continuous-time quantum walk framework. The survival probability displays different decay doma…
Quantum transport on small-world networks: A continuous-time quantum walk approach
Oliver Muelken, Volker Pernice, Alexander Blumen
We consider the quantum mechanical transport of (coherent) excitons on small-world networks (SWN). The SWN are build from a one-dimensional ring of N nodes by randomly introducing…
Localization of coherent exciton transport in phase space
Oliver Muelken, Veronika Bierbaum, Alexander Blumen
We study numerically the dynamics of excitons on discrete rings in the presence of static disorder. Based on continuous-time quantum walks we compute the time evolution of the Wign…