Entanglement scaling in critical two-dimensional fermionic and bosonic systems

dc.creatorBarthel, Thomas
dc.creatorChung, Ming-Chiang
dc.creatorSchollwoeck, Ulrich
dc.date2006-02-03
dc.date2006-02-04
dc.date.accessioned2026-07-07T07:01:29Z
dc.date.available2026-07-07T07:01:29Z
dc.descriptionWe relate the reduced density matrices of quadratic bosonic and fermionic models to their Green's function matrices in a unified way and calculate the scaling of bipartite entanglement of finite systems in an infinite universe exactly. For critical fermionic 2D systems at T=0, two regimes of scaling are identified: generically, we find a logarithmic correction to the area law with a prefactor dependence on the chemical potential that confirms earlier predictions based on the Widom conjecture. If, however, the Fermi surface of the critical system is zero-dimensional, we find an area law with a sublogarithmic correction. For a critical bosonic 2D array of coupled oscillators at T=0, our results show that entanglement follows the area law without corrections.
dc.description4 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0602077
dc.identifierhttp://arxiv.org/abs/cond-mat/0602077
dc.identifierPhys. Rev. A 74, 022329 (2006)
dc.identifierdoi:10.1103/PhysRevA.74.022329
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/108286
dc.subjectStatistical Mechanics
dc.subjectStrongly Correlated Electrons
dc.subjectQuantum Physics
dc.titleEntanglement scaling in critical two-dimensional fermionic and bosonic systems
dc.typetext

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