Holographic entanglement entropy in imbalanced superconductors

Abstract

Abstract:We study the behavior of holographic entanglement entropy (HEE) for imbalanced holographic superconductors. We employ a numerical approach to consider the robust case of fully back-reacted gravity system. The hairy black hole solution is found by using our numerical scheme. Then it is used to compute the HEE for the superconducting case. The cases we study show that in presence of a mismatch between two chemical potentials, below the critical temperature, superconducting phase has a lower HEE in comparison to the AdS-Reissner-Nordström black hole phase. Interestingly, the effects of chemical imbalance are different in the contexts of black hole and superconducting phases. For black hole, HEE increases with increasing imbalance parameter while it behaves oppositely for the superconducting phase. The implications of these results are discussed.

Entanglement and exotic superfluidity in spin-imbalanced lattices

“…Hence we conclude that the non-monotonicity of entanglement as a function of internal (P ) or external magnetic fields (h) may be used as a general signature of superconductivity. This also means that entanglement at the FFLO state of spin-imbalanced systems has a BCS-like behavior, similar to what has been reported in holographic superconductors [22].…”

“…Several FFLO features have been revealed, including spontaneous breaking of spatial symmetry in the pair correlation [16,17], analytical expression for the critical polarization P C below which the FFLO superfluidity takes place [18], regimes of stability [19] and temperature effects [20]. In contrast though, little is known about the relation between FFLO and entanglement, except from a few reports in gravity systems [21][22][23].…”

Entanglement entropy as a probe of the proximity effect in holographic superconductors

“…It was found that the p-wave superconductor has lower entanglement entropy. The behavior of holographic entanglement entropy for imbalanced holographic superconductor was considered in [20]. It was found that entanglement entropy for this imbalanced system decreases with the increase of imbalance in chemical potentials.…”

Holographic subregion complexity in unbalanced holographic superconductors

“…For holographic superconductors, we expect to use the HSC as a probe to capture the richer information of phase transition. Thus, it is meaningful to further analyze the behavior of HSC in other holographic superconductors, such as unbalanced holographic superconductors [50][51][52][53][54][55].…”