Document Type : Original Article
Authors
1 Department of Physics, University of Guilan, P.O. Box 41335-1914, Rasht, Iran
2 Institute for Advanced Studies in Basic Sciences (IASBS), P.O. Box 45137-66731, Zanjan, Iran
Abstract
We study several holographic entanglement measures in a specific Einstein-Maxwell-dilaton theory using gauge/gravity correspondence. In particular, we evaluate the holographic entanglement entropy, mutual information, and entanglement wedge cross-section in geometries that are dual to the boundary vacuum state. Our results reveal some generic properties of boundary information measures dual to the entanglement wedge cross-section, e.g., the entanglement of purification. We show that the critical separation for the transition of mutual information increases as we increase the non-locality parameter, hence the total correlation between the subsystems increases.
Keywords
Main Subjects
1. H Casini and M Huerta, J. Phys. A 42 (2009) 504007. 2. P Calabrese and J Cardy, J. Phys. A 42 (2009) 504005.
- N Laflorencie, Rept. 646 (2016).
- T Nishioka, Mod. Phys. 90, 3 (2018) 035007
- S Ryu and T Takayanagi, Rev. Lett. 96 (2006) 181602.
- V E Hubeny, M Rangamani, and T Takayanagi, High Energy Phys. 07 (2007) 062.
- M Rangamani, T Takayanagi, “Holographic entanglement entropy”, Springer International Publishing; (2017).
- M Headrick, Rev. D 82 (2010) 126010.
- L Y Hung, et al., High Energy Phys. 12 (2011) 04.
- T Takayanagi and K Umemoto, Nature Phys. 14, 6 (2018) 573.
- Nguyen, et al., J. High Energy Phys. 1801 (2018) 098.
- K Babaei Velni, M R M Mozaffar, and M H Vahidinia, JHEP 200 (2019) 200.
- K Babaei Velni, M R M Mozaffar, and M H Vahidinia, JHEP 129 (2020) 129.
- L Bombelli, et al., Rev. D 34 (1986).
- M Srednicki, Rev. Lett. 71 (1993).
- J Eisert, et al., Mod. Phys. 82 (2010).
- J L Karczmarek and C Rabideau, High Energy Phys. 10 (2013) 078.
- N Shiba and T Takayanagi, High Energy Phys. 02 (2014) 033.
- D W Pang, Rev. D 89 (2014) 126005.
- K Tamaoka, Rev. Lett. 122, 14 (2019) 141601.
- M J Vasli, et al., Rev. D 107 (2023) 026012.
- K Babaei Velni, M R Mohammadi, and M H Vahidinia, Rev. D 107, 10 (2023) 106014.
- M Sahraei, et al., JHEP 08 (2021) 038.
- M R M Mozaffar and K Babaei Velni, J. Phys. Res. 22, 1 (2022) 139.
- S Dutta and T Faulkner, JHEP 03 (2021) 178.
- M Nozaki, S Ryu and T Takayanagi, JHEP 10 (2012) 193.
- H Liu and S J Suh, Rev. Lett. 112 (2014) 011601.
- K Babaei Velni and M R M Mozaffar, J. Phys. Res. 19, 47 (2020) 755.
)