Quantum walks of two interacting particles on percolation graphs

We address the dynamics of two indistinguishable interacting particles moving on a dynamical percolation graph, i.e., a graph where the edges are independent random telegraph processes whose values jump between 0 and 1, thus mimicking percolation. The interplay between the particle interaction stren...

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Bibliographic Details
Published inJournal of physics. Conference series Vol. 906; no. 1; pp. 12017 - 12020
Main Authors Siloi, Ilaria, Benedetti, Claudia, Piccinini, Enrico, Paris, Matteo G. A., Bordone, Paolo
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 01.10.2017
Subjects
Graph theory
Particle interactions
Percolation
Physics
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Summary:We address the dynamics of two indistinguishable interacting particles moving on a dynamical percolation graph, i.e., a graph where the edges are independent random telegraph processes whose values jump between 0 and 1, thus mimicking percolation. The interplay between the particle interaction strength, initial state and the percolation rate determine different dynamical regimes for the walkers. We show that, whenever the walkers are initially localised within the interaction range, fast noise enhances the particle spread compared to the noiseless case.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/906/1/012017