323 citations · 446 across the 9 of their papers we have counts for
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Information Dimension of Dissipative Quantum Walks
P. Schijven, O. Muelken
We study the temporal growth of the von Neumann entropy for dissipative quantum walks on networks. By using a phenomenological quantum master equation, the quantum stochastic walk…
Continuous-Time Quantum Walks: Models for Coherent Transport on Complex Networks
Oliver Muelken, Alexander Blumen
This paper reviews recent advances in continuous-time quantum walks (CTQW) and their application to transport in various systems. The introduction gives a brief survey of the histo…
Coherent Exciton Dynamics and Trapping in Topologically Disordered Systems
Oliver Muelken, Alexander Blumen
We analyze the coherent dynamics of excitons in three dimensional topologically disordered networks with traps. If the interactions between the nodes of the network are long ranged…
Inefficient quantum walks on networks: the role of the density of states
Oliver Muelken
We show by general arguments that networks whose density of states contains few highly degenerate eigenvalues result in inefficient performances of continuous-time quantum walks (C…
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…
Continuous time quantum walks in phase space
Oliver Muelken, Alexander Blumen
We formulate continuous time quantum walks (CTQW) in a discrete quantum mechanical phase space. We define and calculate the Wigner function (WF) and its marginal distributions for…