TY - JOUR
A1 - Fernández Melgarejo, José
AU - Molina Vilaplana, Javier
T1 - On the Entanglement Entropy in Gaussian cMERA
Y1 - 2021
SN - 1521-3978
UR - http://hdl.handle.net/10317/10966
AB - The 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.
KW - Física Aplicada
KW - Continuous tensor networks
KW - Entanglement entropy
KW - Holography
KW - 22 Física
LA - eng
PB - Wiley
ER -