131 citations · 619 across the 22 of their papers we have counts for
22 papers
Information Dimension of Stochastic Processes on Networks: Relating Entropy Production to Spectral Properties
Oliver Muelken, Sarah Heinzelmann, Maxim Dolgushev
We consider discrete stochastic processes, modeled by classical master equations, on networks. The temporal growth of the lack of information about the system is captured by its no…
Complex Quantum Networks: From Universal Breakdown to Optimal Transport
Oliver Muelken, Maxim Dolgushev, Mircea Galiceanu
We study the transport efficiency of excitations on complex quantum networks with loops. For this we consider sequentially growing networks with different topologies of the sequent…
Universality at Breakdown of Quantum Transport on Complex Networks
Nikolaj Kulvelis, Maxim Dolgushev, Oliver Muelken
We consider single-particle quantum transport on parametrized complex networks. Based on general arguments regarding the spectrum of the corresponding Hamiltonian, we derive bounds…
Directed transport in quantum star graphs
Jambul Yusupov, Maxim Dolgushev, Alexander Blumen +1
We study the quantum dynamics of Gaussian wave packets on star graphs whose arms feature each a periodic potential and an external time-dependent field. Assuming that the potential…
Enhanced Quantum Transport in Multiplex Networks
Oliver Muelken
Quantum transport through disordered structures is inhibited by (Anderson) localization effects. The disorder can be either topological as in random networks or energetical as in t…
Transport properties of continuous-time quantum walks on Sierpinski fractals
Zoltán Darázs, Anastasiia Anishchenko, Tamás Kiss +2
We model quantum transport, described by continuous-time quantum walks (CTQW), on deterministic Sierpinski fractals, differentiating between Sierpinski gaskets and Sierpinski carpe…
Geometrical aspects of quantum walks on random two-dimensional structures
Anastasiia Anishchenko, Alexander Blumen, Oliver Muelken
We study the transport properties of continuous-time quantum walks (CTQW) over finite two-dimensional structures with a given number of randomly placed bonds and with different asp…
Avoiding dark states in open quantum systems by tailored initial correlations
Piet Schijven, Oliver Muelken
We study the transport of excitations on a V-shaped network of three coupled two-level systems that are subjected to an environment that induces incoherent hopping between the node…
Enhancing the spreading of quantum walks on star graphs by additional bonds
Anastasiia Anishchenko, Alexander Blumen, Oliver Muelken
We study the dynamics of continuous-time quantum walks (CTQW) on networks with highly degenerate eigenvalue spectra of the corresponding connectivity matrices. In particular, we co…
Transport efficiency in topologically disordered networks with environmentally induced diffusion
Petrus Schijven, Johannes Kohlberger, Alexander Blumen +1
We study transport in topologically disordered networks that are subjected to an environment that induces classical diffusion. The dynamics is phenomenologically described within t…
Directed excitation transfer in vibrating chains by external fields
Oliver Muelken, Maximilian Bauer
We study the coherent dynamics of excitations on vibrating chains. By applying an external field and matching the field strength with the oscillation frequency of the chain it is p…
Environment-assisted quantum transport and trapping in dimers
Oliver Muelken, Tobias Schmid
We study the dynamics and trapping of excitations for a dimer with an energy off-set coupled to an external environment. Using a Lindblad quantum master equation approach, we c…
Quantum walk approach to search on fractal structures
Elena Agliari, Alexander Blumen, Oliver Muelken
We study continuous-time quantum walks mimicking the quantum search based on Grover's procedure. This allows us to consider structures, that is, databases, with arbitrary topologic…
Dissipative Dynamics with Trapping in Dimers
Oliver Muelken, Lothar Muehlbacher, Tobias Schmid +1
The trapping of excitations in systems coupled to an environment allows to study the quantum to classical crossover by different means. We show how to combine the phenomenological…
Continuous-Time Quantum Walks and Trapping
Elena Agliari, Oliver Muelken, Alexander Blumen
Recent findings suggest that processes such as the electronic energy transfer through the photosynthetic antenna display quantal features, aspects known from the dynamics of charge…
Deceptive signals of phase transitions in small magnetic clusters
Heinrich Stamerjohanns, Oliver Muelken, Peter Borrmann
We present an analysis of the thermodynamic properties of small transition metal clusters and show how the commonly used indicators of phase transitions like peaks in the specific…
The Origins of Phase Transitions in Small Systems
Oliver Muelken, Heinrich Stamerjohanns, Peter Borrmann
The identification and classification of phases in small systems, e.g. nuclei, social and financial networks, clusters, and biological systems, where the traditional definitions of…
Classification of the Nuclear Multifragmentation Phase Transition
Oliver Muelken, Peter Borrmann
Using a recently proposed classification scheme for phase transitions in finite systems [Phys.Rev.Lett.{\bf 84},3511 (2000)] we show that within the statistical standard model of n…
Calculation of thermodynamic properties of finite Bose-Einstein systems
Peter Borrmann, Jens Harting, Oliver Muelken +1
We derive an exact recursion formula for the calculation of thermodynamic functions of finite systems obeying Bose-Einstein statistics. The formula is applicable for canonical syst…
Classification of phase transitions of finite Bose-Einstein condensates in power law traps by Fisher zeros
Oliver Muelken, Peter Borrmann, Jens Harting +1
We present a detailed description of a classification scheme for phase transitions in finite systems based on the distribution of Fisher zeros of the canonical partition function i…
The interplay between shell effects and electron correlations in quantum dots
Jens Harting, Oliver Muelken, Peter Borrmann
We use the Path Integral Monte Carlo method to investigate the interplay between shell effects and electron correlations in single quantum dots with up to 12 electrons. By use of a…
Classification of phase transitions in small systems
Peter Borrmann, Oliver Muelken, Jens Harting
We present a classification scheme for phase transitions in finite systems like atomic and molecular clusters based on the Lee-Yang zeros in the complex temperature plane. In the l…