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dc.contributor.authorFernández Melgarejo, José 
dc.contributor.authorMolina Vilaplana, Javier
dc.identifier.citationFernández-Melgarejo, J. J., Molina-Vilaplana, J., On the Entanglement Entropy in Gaussian cMERA. Fortschr. Phys. 2021, 69, 2100093.
dc.description.abstractThe continuous Multi Scale Entanglement Renormalization Anstaz (cMERA) consists of a variational method which carries out a real space renormalization scheme on the wavefunctionals of quantum field theories. In this work we calculate the entanglement entropy of the half space for a free scalar theory through a Gaussian cMERA circuit. We obtain the correct entropy written in terms of the optimized cMERA variational parameter, the local density of disentanglers. Accordingly, using the entanglement entropy production per unit scale, we study local areas in the bulk of the tensor network in terms of the differential entanglement generated along the cMERA flow. This result spurs us to establish an explicit relation between the cMERA variational parameter and the radial component of a dual AdS geometry through the Ryu-Takayanagi formula. Finally, we argue that the entanglement entropy for the half space can be written as an integral along the renormalization scale whose measure is given by the Fisher information metric of the cMERA circuit. Consequently, a straightforward relation between AdS geometry and the Fisher information metric is also established.es_ES
dc.description.sponsorshipWe thank Esperanza López for very fruitful discussions and a careful reading that helped to improve the manuscript. The work of JJFM is supported by Universidad de Murcia-Plan Propio Postdoctoral, the Spanish Ministerio de Economía y Competitividad and CARM Fundación Séneca under grants FIS2015-28521 and 21257/PI/19. JMV is funded by Ministerio de Ciencia, Innovación y Universidades PGC2018-097328-B-100 and Programa de Excelencia de la Fundación Séneca Región de Murcia 19882/GERM/15.es_ES
dc.rightsAtribución-NoComercial-SinDerivadas 3.0 España*
dc.titleOn the Entanglement Entropy in Gaussian cMERAes_ES
dc.subject.otherFísica Aplicadaes_ES
dc.subjectContinuous tensor networkses_ES
dc.subjectEntanglement entropyes_ES
dc.subject.unesco22 Físicaes_ES
dc.contributor.convenianteUniversidad Politécnica de Cartagenaes_ES

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Atribución-NoComercial-SinDerivadas 3.0 España
Except where otherwise noted, this item's license is described as Atribución-NoComercial-SinDerivadas 3.0 España