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

2018/05/23 by César Alonso-Lobo, Manuel Martínez-Quesada, Margarida Hinarejos +3 · 3 citations
Computer Science · Physics and Astronomy · #Class (philosophy) #Line (geometry) #Quantum #Quantum Computing Algorithms and Architecture #Quantum Mechanics and Applications #Quantum and Classical Electrodynamics #Quantum system #Type (biology) #quant-ph

paper · pdf · doi:10.1088/1751-8121/aadfa2

published in Journal of Physics A Mathematical and Theoretical 51(45), 455301 (Institute of Physics) · 7 pages, 7 figures

arxiv created 2018/05/23 · openalex created_date 2018/06/01 · openalex publication_date 2018/09/07 · arxiv updated 2018/11/14 · openalex updated_date 2026/08/05

Abstract

Abstract 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.

Citations

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