Entanglement wedge cross-section in shock wave geometries
arXiv:2006.10625 · doi:10.1007/JHEP07(2020)208
Abstract
We consider reflected entropy in a thermofield double state perturbed by a heavy operator insertion. For sufficiently early operator insertions the dual geometry can be described by a localized shock wave geometry. We calculate the entanglement wedge cross-section in this geometry for symmetric intervals and find that it matches precisely with the CFT result for sufficiently late times. Our result exhibits a plateau before going to zero, a behaviour similar to the one observed recently in the context of global quantum quenches. We find that at high temperatures this behaviour is properly captured by the line-tension picture.
19 pages, 4 figures; v2 typos fixed, references added
References in corpus (7)
- Liouville Action as Path-Integral Complexity: From Continuous Tensor Networks to AdS/CFT
- Deriving covariant holographic entanglement
- Holographic Entanglement Entropy from 2d CFT: Heavy States and Local Quenches
- Quantum Entanglement of Localized Excited States at Finite Temperature
- Holographic Entanglement of Purification from Conformal Field Theories
- Some Aspects of Entanglement Wedge Cross-Section
- Multipartite Reflected Entropy