Area law and vacuum reordering in harmonic networks

Simple item page
dc.creatorRiera, A.
dc.creatorLatorre, J. I.
dc.date2006-05-12
dc.date2006-06-26
dc.date.accessioned2026-07-07T11:07:45Z
dc.date.available2026-07-07T11:07:45Z
dc.descriptionWe review a number of ideas related to area law scaling of the geometric entropy from the point of view of condensed matter, quantum field theory and quantum information. An explicit computation in arbitrary dimensions of the geometric entropy of the ground state of a discretized scalar free field theory shows the expected area law result. In this case, area law scaling is a manifestation of a deeper reordering of the vacuum produced by majorization relations. Furthermore, the explicit control on all the eigenvalues of the reduced density matrix allows for a verification of entropy loss along the renormalization group trajectory driven by the mass term. A further result of our computation shows that single-copy entanglement also obeys area law scaling, majorization relations and decreases along renormalization group flows.
dc.description15 pages, 6 figures; typos corrected
dc.identifierhttps://arxiv.org/abs/quant-ph/0605112
dc.identifierhttp://arxiv.org/abs/quant-ph/0605112
dc.identifierPhys.Rev.A74:052326,2006
dc.identifierdoi:10.1103/PhysRevA.74.052326
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/189949
dc.subjectQuantum Physics
dc.subjectOther Condensed Matter
dc.subjectHigh Energy Physics - Theory
dc.titleArea law and vacuum reordering in harmonic networks
dc.typetext

Files

Collections

arXiv