96 citations · 126 across the 3 of their papers we have counts for
3 papers
quant-ph2008★ 11 cited
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…
quant-ph2007★ 19 cited
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…
quant-ph2007★ 96 cited
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…