Mixed state entanglement measures as probe for confinement
Parul Jain (Department of Physics, Indian Institute of Technology, Bombay 400076, India); Subhash Mahapatra (Department of Physics, National Institute of Technology Rourkela, Rourkela 769008, India)
We study holographic aspects of mixed state entanglement measures in various large top-down as well as bottom-up confining models. For the top-down models, we consider wrapped and 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 , at which the order of these measures changes from to . The entanglement wedge cross section similarly shows an order change at 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.