Entanglement measures for non-conformal D-branes
Abstract
We study various entanglement measures associated with certain non-conformal field theories. We consider non-conformal Dp-brane backgrounds, which are dual to these field theories, for our holographic analysis. Restricting our interests in p=1,2,4, we explicitly compute properties of holographic entanglement entropy and entanglement wedge cross section, EW, corresponding to two parallel strip shaped boundary subregions in these set ups. We study low and high temperature behaviours of these quantities analytically as well as using numerical methods. In all cases, the EW decrease monotonically with temperature. We observe discontinuous jumps in EW while the width of (as well as the separation between) the subregions reach critical values in all the cases considered. However, the corresponding holographic mutual information IM continuously decreases to zero for the aforementioned configurations. We also notice that the conjectured inequality EW ≥ IM/2 still holds for non-conformal field theories as well. We analytically determine the critical separation between these subregions that triggers a phase transition in the holographic mutual information.