Finite size effect on quantum correlations
arXiv:2008.04507
Abstract
We holographically study the finite-size scaling effects on macroscopic and microscopic quantum correlations deformed by excitation and condensation. The excitation (condensation) increases (decreases) the entanglement entropy of the system. We also investigate the two-point correlation function of local operators by calculating the geodesic length connecting two local operators. As opposed to the entanglement entropy case, the excitation (condensation) decreases (increases) the two-point function. This is because the screening effect becomes strong in the background with the large entanglement entropy. We further show that the holographic renormalization leads to the qualitatively same two-point function as the one obtained from the geodesic length.
21 pages
References in corpus (7)
- Thermodynamical Property of Entanglement Entropy for Excited States
- Bulk Emergence and the RG Flow of Entanglement Entropy
- Holographic entanglement entropy in the nonconformal medium
- Renormalized Entanglement Entropy Flow in Mass-deformed ABJM Theory
- Multiscale Entanglement Renormalization Ansatz for Kondo Problem
- Holographic torus entanglement and its RG flow
- Wilson's numerical renormalization group and AdS_3 geometry