Abstract
By using the subregion CV conjecture, we numerically investigate the behavior of the holographic subregion complexity (HSC) and compare it with the holographic entanglement entropy (HEE) in the unbalanced holographic superconductors, which indicates that both the HEE and HSC can be used as good probes to the phase transition in unbalanced holographic superconductors. We observe that the HEE and HSC exhibit a similar linear growth behavior with the change of width for a strip geometry. However, for different fixed widths, the HSC exhibits different behaviors with the change of the temperature, while the behavior of HEE remains consistent. In particular, we find that there are certain conditions that make it difficult to observe the phase transition of this system through the HSC approach. Furthermore, we also note that the unbalance parameter has different effects on the HSC, while the HEE always increases as the unbalance parameter increases.
Highlights
The Anti-de Sitter/conformal field theories (AdS/CFT) correspondence [1,2,3] has been proven to be a powerful tool in studying strongly coupled systems and quantum information properties
For large enough subregions ( = 8), we find that the effect of the unbalance parameter β on the holographic subregion complexity (HSC) is quite similar to the case of holographic entanglement entropy (HEE), i.e., the HSC monotonously increases as the unbalance parameter β increases
Our results indicates that both the HEE and HSC precisely captures the information about the phase transitions, i.e., both of them can be used as good probes to the phase transition in unbalanced holographic superconductors
Summary
The Anti-de Sitter/conformal field theories (AdS/CFT) correspondence [1,2,3] has been proven to be a powerful tool in studying strongly coupled systems and quantum information properties. A simple and elegant method of calculating the entanglement entropy of CFTs from the minimal area surface in the gravity side was proposed by Ryu and Takayanagi In this way, the HEE has been applied to disclose properties of phase transitions in various holographic superconductor models [15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32]. An unbalanced model is based on an emergence of superconducting state near a quantum critical point [56] This is a relevant theme both in the condensed matter and finite density QCD contexts [57].
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