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Feasibility of approximating spatial and local entanglement in long-range interacting systems using the extended Hubbard model

2010/07/31 by J. P. Coe, V. V. França, I. D'Amico · 21 citations
Chemistry · Materials Science · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #Chemical and Physical Properties of Materials #Coulomb #Hubbard model #Quantum entanglement #Quantum many-body systems #Range (aeronautics) #Squashed entanglement #cond-mat.str-el #quant-ph

paper · pdf · doi:10.1209/0295-5075/93/10001

published in Europhysics Letters (EPL) 93(1), 10001 (Institute of Physics) · 6 pages, 5 figures and 1 table; added results with correlated hopping term; accepted by EPL

openalex publication_date 2011/01/01 · arxiv created 2011/01/05 · arxiv updated 2011/02/03 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We investigate the extended Hubbard model as an approximation to the local and spatial entanglement of a one-dimensional chain of nanostructures where the particles interact via a long-range interaction represented by a "soft" Coulomb potential. In the process we design a protocol to calculate the particle-particle spatial entanglement for the Hubbard model and show that, in striking contrast with the loss of spatial degrees of freedom, the predictions are reasonably accurate. We also compare results for the local entanglement with previous results found using a contact interaction ( Coe J. P. et al ., Phys. Rev. A , 81 (2010) 052321 ) and show that while the extended Hubbard model recovers a better agreement with the entanglement of a long-range interacting system, there remain realistic parameter regions where it fails to predict the quantitative and qualitative behaviour of the entanglement in the nanostructure system.

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