Anomalous diffusion on a two-particle quantum walk

In this work, we theoretically investigate a one-dimensional bosonic and fermionic discrete in time quantum Walk, affected by a temporal disorder. Specifically, we study how the wave-function symmetry and the phase disorder distribution affect the final coincidence probability and transport properti...

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Bibliographic Details
Published in:2022 SBFoton International Optics and Photonics Conference (SBFoton IOPC) pp. 1 - 5
Main Authors: De Oliveira, Igor Emanuel Goncalves, Da Silva, Rodrigo Caitano Barbosa, Figueiredo, Pedro Hugo de, Ferraz, Jose
Format: Conference Proceeding
Language:English
Published: IEEE 13-10-2022
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Summary:In this work, we theoretically investigate a one-dimensional bosonic and fermionic discrete in time quantum Walk, affected by a temporal disorder. Specifically, we study how the wave-function symmetry and the phase disorder distribution affect the final coincidence probability and transport properties of a 100-step quantum Walk. The degree of randomness is suitably adjusted by the disorder distribution width and different diffusion regimes are achieved, ranging from the classical diffusion to the ballistic, associated with quantum states propagation.
DOI:10.1109/SBFotonIOPC54450.2022.9992352