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We consider the coherent exciton transport, modeled by continuous-time quantum walks, on Erd\"{o}s-R\'{e}ny graphs in the presence of a random distribution of traps. The role of trap concentration and of the substrate dilution is deepened…

Quantum Physics · Physics 2011-02-22 Elena Agliari

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, i.e., algebraically decaying as a function of the distance…

Quantum Physics · Physics 2010-02-04 Oliver Muelken , Alexander Blumen

We consider coherent exciton transport modeled by continuous-time quantum walks (CTQWs) on long-range interacting cycles (LRICs), which are constructed by connecting all the two nodes of distance $m$ in the cycle graph. LRIC has a symmetric…

Quantum Physics · Physics 2009-11-13 Xinping Xu

We study the coherent exciton transport on Apollonian networks generated by simple iterative rules. The coherent exciton dynamics is modeled by continuous-time quantum walks and we calculate the transition probabilities between two nodes of…

Quantum Physics · Physics 2009-11-13 Xinping Xu , Wei Li , Feng Liu

Coherent transport of excitations along chains of coupled quantum systems represents an interesting problem with a number of applications ranging from quantum optics to solar cell technology. A convenient tool for studying such processes…

Quantum Physics · Physics 2016-02-16 Martin Stefanak , Jaroslav Novotny , Igor Jex

We investigate random walks on a lattice with imperfect traps. In one dimension, we perturbatively compute the survival probability by reducing the problem to a particle diffusing on a closed ring containing just one single trap. Numerical…

Statistical Mechanics · Physics 2015-06-24 Timo Aspelmeier , Jérôme Magnin , Willi Graupner , Uwe C. Täuber

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 find that the transport depends strongly on the initial site…

Statistical Mechanics · Physics 2009-11-11 Alexander Blumen , Veronika Bierbaum , Oliver Muelken

The coherent quantum transport of matter wave through a ring-shaped circuit attached to leads defines an iconic system in mesoscopic physics that has allowed both to explore fundamental questions in quantum science and to draw important…

Quantum Gases · Physics 2025-06-17 Francesco Perciavalle , Oliver Morsch , Davide Rossini , Luigi Amico

We model coherent exciton transport in dendrimers by continuous-time quantum walks (CTQWs). For dendrimers up to the second generation the coherent transport shows perfect recurrences, when the initial excitation starts at the central node.…

Statistical Mechanics · Physics 2009-11-11 Oliver Muelken , Veronika Bierbaum , Alexander Blumen

This paper consists in two parts. First we set up a general scheme of local traps in an homogeneous deterministic quantum system. The current of particles caught by the trap is linked to the dynamical behaviour of the trap states. In this…

Mathematical Physics · Physics 2007-05-23 R. Alicki , M. Fannes , B. Haegeman , D. Vanpeteghem

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 carriers along polymer backbones. Hence, in modeling energy…

Quantum Physics · Physics 2015-05-13 Elena Agliari , Oliver Muelken , Alexander Blumen

We consider a three-node fully connected network (Delta network) showing that a coherent population trapping phenomenon occurs, generalizing results for the Lambda network known to support a dark state. Transport in such structures provides…

Mesoscale and Nanoscale Physics · Physics 2020-01-29 T. J. Pope , J. Rajendran , A. Ridolfo , E. Paladino , F. M. D. Pellegrino , G. Falci

We present a detailed comparison of the motion of a classical and of a quantum particle in the presence of trapping sites, within the framework of continuous-time classical and quantum random walk. The main emphasis is on the qualitative…

Statistical Mechanics · Physics 2014-03-12 P. L. Krapivsky , J. M. Luck , K. Mallick

We calculate the survival probability of an immobile target surrounded by a sea of uncorrelated diffusive or subdiffusive evanescent traps, i.e., traps that disappear in the course of their motion. Our calculation is based on a fractional…

Statistical Mechanics · Physics 2015-06-11 E. Abad , S. B. Yuste , Katja Lindenberg

The dynamics of quantum degenerate two-dimensional dipolar excitons confined in electrostatic traps is analyzed and compared to recent experiments. The model results stress the importance of artificial trapping for achieving and sustaining…

Other Condensed Matter · Physics 2009-11-11 Ronen Rapaport , Gang Chen , Steven Simon

We investigate the transport of excitations through a chain of atoms with non-local dissipation introduced through coupling to additional short-lived states. The system is described by an effective spin-1/2 model where the ratio of the…

Atomic Physics · Physics 2015-09-02 H. Schempp , G. Günter , S. Wüster , M. Weidemüller , S. Whitlock

In this paper, we study the dynamics of a random walker diffusing on a disordered one-dimensional lattice with random trappings. The distribution of escape probabilities is computed exactly for any strength of the disorder. These…

Statistical Mechanics · Physics 2016-08-31 Clement Sire

Coherent transport by adiabatic passage has recently been suggested as a high-fidelity technique to engineer the centre-of-mass state of single atoms in inhomogenous environments. While the basic theory behind this process is well…

Quantum Physics · Physics 2015-03-19 T. Morgan , B. O'Sullivan , Th. Busch

In a recent Letter Bray and Blythe have shown that the survival probability P(t) of an A particle diffusing with a diffusion coefficient D_A in a 1D system with diffusive traps B is independent of D_A in the asymptotic limit t \to \infty…

Statistical Mechanics · Physics 2009-11-07 G. Oshanin , O. Benichou , M. Coppey , M. Moreau

We model the coherent energy transfer of an electronic excitation within covalently linked aromatic homodimers from first-principles, to answer whether the usual models of the bath calculated via detailed electronic structure calculations…

Chemical Physics · Physics 2015-06-03 John Parkhill , David Tempel , Alan Aspuru-Guzik
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