Holographic information measures in Einstein-Maxwell-dilaton model with non-local effect

Mohammadi Mozaffar, Mohammad Reza; Vahidinia, Mohammad Hassan

doi:10.47176/ijpr.24.4.91972

Holographic information measures in Einstein-Maxwell-dilaton model with non-local effect

Document Type : Original Article

Authors

Mohammad Reza Mohammadi Mozaffar ¹

Mohammad Hassan Vahidinia ²

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

https://doi.org/10.47176/ijpr.24.4.91972

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

holography

gauge/gravity correspondence

entanglement

nonlocality

Subjects

Theoretical

1. H Casini and M Huerta, J. Phys. A 42 (2009) 504007. 2. P Calabrese and J Cardy, J. Phys. A 42 (2009) 504005.
1. N Laflorencie, Rept. 646 (2016).
2. T Nishioka, Mod. Phys. 90, 3 (2018) 035007
3. S Ryu and T Takayanagi, Rev. Lett. 96 (2006) 181602.
4. V E Hubeny, M Rangamani, and T Takayanagi, High Energy Phys. 07 (2007) 062.
5. M Rangamani, T Takayanagi, “Holographic entanglement entropy”, Springer International Publishing; (2017).
6. M Headrick, Rev. D 82 (2010) 126010.
7. L Y Hung, et al., High Energy Phys. 12 (2011) 04.
8. T Takayanagi and K Umemoto, Nature Phys. 14, 6 (2018) 573.
9. Nguyen, et al., J. High Energy Phys. 1801 (2018) 098.
10. K Babaei Velni, M R M Mozaffar, and M H Vahidinia, JHEP 200 (2019) 200.
11. K Babaei Velni, M R M Mozaffar, and M H Vahidinia, JHEP 129 (2020) 129.
12. L Bombelli, et al., Rev. D 34 (1986).
13. M Srednicki, Rev. Lett. 71 (1993).
14. J Eisert, et al., Mod. Phys. 82 (2010).
15. J L Karczmarek and C Rabideau, High Energy Phys. 10 (2013) 078.
16. N Shiba and T Takayanagi, High Energy Phys. 02 (2014) 033.
17. D W Pang, Rev. D 89 (2014) 126005.
18. K Tamaoka, Rev. Lett. 122, 14 (2019) 141601.
19. M J Vasli, et al., Rev. D 107 (2023) 026012.
20. K Babaei Velni, M R Mohammadi, and M H Vahidinia, Rev. D 107, 10 (2023) 106014.
21. M Sahraei, et al., JHEP 08 (2021) 038.
22. M R M Mozaffar and K Babaei Velni, J. Phys. Res. 22, 1 (2022) 139.
23. S Dutta and T Faulkner, JHEP 03 (2021) 178.
24. M Nozaki, S Ryu and T Takayanagi, JHEP 10 (2012) 193.
25. H Liu and S J Suh, Rev. Lett. 112 (2014) 011601.
26. K Babaei Velni and M R M Mozaffar, J. Phys. Res. 19, 47 (2020) 755.