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.
Quantum walks of two interacting particles on percolation graphs / I. Siloi, C. Benedetti, E. Piccinini, M.G.A. Paris, P. Bordone. - In: JOURNAL OF PHYSICS. CONFERENCE SERIES. - ISSN 1742-6588. - 906:1(2017). ((Intervento presentato al 20. convegno EDISON International Conference on Electron Dynamics in Semiconductors, Optoelectronics and Nanostructures : July, 17th : 21st tenutosi a Buffalo (NY, USA) nel 2017 [10.1088/1742-6596/906/1/012017].
Quantum walks of two interacting particles on percolation graphs
C. BenedettiSecondo
;M.G.A. ParisPenultimo
;
2017
Abstract
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.File | Dimensione | Formato | |
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