Holographic subregion complexity in unbalanced holographic superconductors

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.

Holographic entanglement entropy and complexity for D-wave superconductors

“…Similar phenomena that the different behaves of the HSC for different fixed strip-widths in superconducting phase transitions have also been found recently in Refs. [50,51], but the physical mechanism is still unknown. Furthermore, in the Figs.…”