Universal and nonuniversal contributions to block-block entanglement in many-fermion systems

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dc.creatorFranca, Vivian V.
dc.creatorCapelle, Klaus
dc.date2008-03-28
dc.date.accessioned2026-07-07T09:44:38Z
dc.date.available2026-07-07T09:44:38Z
dc.descriptionWe calculate the entanglement entropy of blocks of size x embedded in a larger system of size L, by means of a combination of analytical and numerical techniques. The complete entanglement entropy in this case is a sum of three terms. One is a universal x and L-dependent term, first predicted by Calabrese and Cardy, the second is a nonuniversal term arising from the thermodynamic limit, and the third is a finite size correction. We give an explicit expression for the second, nonuniversal, term for the one-dimensional Hubbard model, and numerically assess the importance of all three contributions by comparing to the entropy obtained from fully numerical diagonalization of the many-body Hamiltonian. We find that finite-size corrections are very small. The universal Calabrese-Cardy term is equally small for small blocks, but becomes larger for x>1. In all investigated situations, however, the by far dominating contribution is the nonuniversal term steming from the thermodynamic limit.
dc.description6 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/0803.4174
dc.identifierhttp://arxiv.org/abs/0803.4174
dc.identifierPhys. Rev. A 77, 062324 (2008)
dc.identifierdoi:10.1103/PhysRevA.77.062324
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162945
dc.subjectStatistical Mechanics
dc.subjectStrongly Correlated Electrons
dc.subjectQuantum Physics
dc.titleUniversal and nonuniversal contributions to block-block entanglement in many-fermion systems
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