Holographic subregion complexity in unbalanced holographic superconductors

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.

Automated summary

The holographic subregion complexity (HSC) and holographic entanglement entropy (HEE) can both be used as good probes of phase transitions in unbalanced holographic superconductors. However, there are certain conditions where it is difficult to observe the phase transition of the system using the HSC approach. The unbalance parameter has different effects on HSC, while HEE always increases as the unbalance parameter increases.