Two-particle coined-quantum walk with long-range interaction

We present and study a two-particle quantum walk on the line in which the two particles interact via a long-range Coulombian-like interaction. We obtain the spectrum of the system as well as study the type of molecules that form, attending to the bosonic or fermionic nature of the walkers. The usual...

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Bibliographic Details
Published in:arXiv.org 2018-05
Main Authors: Alonso-Lobo, César, Martínez-Quesada, Manuel, Hinarejos, Margarida, de Valcárcel, Germán J, Roldán, Eugenio
Format: Article
Language:English
Online Access:Get full text
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Summary:We present and study a two-particle quantum walk on the line in which the two particles interact via a long-range Coulombian-like interaction. We obtain the spectrum of the system as well as study the type of molecules that form, attending to the bosonic or fermionic nature of the walkers. The usual loss of distinction between attractive and repulsive forces does not entirely apply in our model because of the long-range of the interaction.
ISSN:2331-8422
DOI:10.48550/arxiv.1805.09200