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quant-ph2006★ 24 cited
Quantum transport on two-dimensional regular graphs
Antonio Volta, Oliver Muelken, Alexander Blumen
We study the quantum-mechanical transport on two-dimensional graphs by means of continuous-time quantum walks and analyse the effect of different boundary conditions (BCs). For per…
cond-mat.stat-mech2006★ 31 cited
Coherent dynamics on hierarchical systems
Alexander Blumen, Veronika Bierbaum, Oliver Muelken
We study the coherent transport modeled by continuous-time quantum walks, focussing on hierarchical structures. For these we use Husimi cacti, lattices dual to the dendrimers. We f…