Mixed state entanglement measures as probe for confinement

Abstract

We study holographic aspects of mixed state entanglement measures in various large N top-down as well as bottom-up confining models. For the top-down models, we consider wrapped D3 and D4 brane gravity solutions, whereas, for the bottom-up confining model, the Einstein-Maxwell-dilaton gravity solution is considered. We study entanglement entropy, mutual information, entanglement wedge cross section, and entanglement negativity for the strip subsystems and find model-independent features of these entanglement measures in all confining theories. The entanglement negativity and entropy exhibit a phase transition at the same critical strip length Lcrit, at which the order of these measures changes from O(N2) to O(N0). The entanglement wedge cross section similarly shows an order change at Lcrit and exhibits a discontinuous behavior each time a phase transition between different entangling surfaces occurs. We further test the inequality involving mutual information and entanglement wedge cross section and find that the latter always exceeds half of the former.