Holographic entanglement entropy and subregion complexity for s-wave superconductor from massive gravity

Yiliang Hu (Department of Physics, Liaoning Normal University, Dalian, 116029, People’s Republic of China; Department of Physics, Anshan Normal University, Anshan, 114007, People’s Republic of China) ; Yabo Wu (Department of Physics, Liaoning Normal University, Dalian, 116029, People’s Republic of China) ; Junwang Lu (School of Physics and Electronics, Qiannan Normal University for Nationalities, Duyun, 558000, People’s Republic of China) ; Jianan Chi (Department of Physics, Liaoning Normal University, Dalian, 116029, People’s Republic of China) ; Wenzhong Liu (Department of Physics, Liaoning Normal University, Dalian, 116029, People’s Republic of China; Department of Physics, Shenyang University, Shenyang, 110044, People’s Republic of China) ; et al. - Show all 6 authors

In this paper, in the framework of massive gravity, the holographic entanglement entropy (HEE) and holographic subregion complexity (HSC) are numerically investigated by means of the RT formula and the subregion CV conjucture for holographic superconductor with backreaction. We find that both the HEE and HSC exhibit discontinuity of slope at critical temperature, hence both of them are able to reflect the information of phase transition in the holographic superconducting system. Different from the previous studies, the HEE and HSC as function of strip-width are not always lower in the superconducting phase than ones in the normal phase, in particular the HSC decreases linearly as the subregion increases for positive coupling parameters. We notice that when the coupling parameters $$\alpha $$ α and $$\beta $$ β are taken as positive values, the HSC behaves in the same way as HEE, but when they are negative, the HSC has many different behaviors from HEE. Furthermore, we also observe that the HEE and HSC in the superconducting phase illustrate a tendency to converge to the same value as the temperature approaches zero, regardless of the coupling parameters of model. It is worth mentioning that in the massless gravity limit (the coupling parameters $$\alpha =0$$ α = 0 and $$\beta =0$$ β = 0 ), the results given by us are consistent with the case of holographic superconductor with backreaction from Einstein gravity.

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      "surname": "Wu", 
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      "source": "Springer", 
      "value": "In this paper, in the framework of massive gravity, the holographic entanglement entropy (HEE) and holographic subregion complexity (HSC) are numerically investigated by means of the RT formula and the subregion CV conjucture for holographic superconductor with backreaction. We find that both the HEE and HSC exhibit discontinuity of slope at critical temperature, hence both of them are able to reflect the information of phase transition in the holographic superconducting system. Different from the previous studies, the HEE and HSC as function of strip-width are not always lower in the superconducting phase than ones in the normal phase, in particular the HSC decreases linearly as the subregion increases for positive coupling parameters. We notice that when the coupling parameters  $$\\alpha $$  <math> <mi>\u03b1</mi> </math>   and  $$\\beta $$  <math> <mi>\u03b2</mi> </math>   are taken as positive values, the HSC behaves in the same way as HEE, but when they are negative, the HSC has many different behaviors from HEE. Furthermore, we also observe that the HEE and HSC in the superconducting phase illustrate a tendency to converge to the same value as the temperature approaches zero, regardless of the coupling parameters of model. It is worth mentioning that in the massless gravity limit (the coupling parameters  $$\\alpha =0$$  <math> <mrow> <mi>\u03b1</mi> <mo>=</mo> <mn>0</mn> </mrow> </math>   and  $$\\beta =0$$  <math> <mrow> <mi>\u03b2</mi> <mo>=</mo> <mn>0</mn> </mrow> </math>  ), the results given by us are consistent with the case of holographic superconductor with backreaction from Einstein gravity."
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Published on:
25 April 2024
Publisher:
Springer
Published in:
European Physical Journal C , Volume 84 (2024)
Issue 4
Pages 1-16
DOI:
https://doi.org/10.1140/epjc/s10052-024-12780-z
Copyrights:
The Author(s)
Licence:
CC-BY-4.0

Fulltext files: