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

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 (PRA, 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.

6 pages, 5 figures and 1 table; added results with correlated hopping term; accepted by EPL

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• Many-body effects on the thermodynamics of closed quantum systems
• Entanglement enhancement in spatially inhomogeneous many-body systems
• Superfluid-Insulator Transition unambiguously detected by entanglement in one-dimensional disordered superfluids
• Testing density-functional approximations on a lattice and the limits of the related Hohenberg-Kohn-type theorem
• Metric-space approach for distinguishing quantum phase transitions in spin-imbalanced systems
• Linear mapping between magnetic susceptibility and entanglement in conventional and exotic one-dimensional superfluids
• Characterizing Adiabaticity in Quantum Many-Body Systems at Finite Temperature
• Approximating quantum thermodynamic properties using DFT
• Entanglement as a topological marker in harmonically confined attractive Fermi-Hubbard chains