Basis-independent quantum coherence and its distribution in spin chains with three-site interaction

Abstract

Basis-independent coherence of spin-pairs and its distribution (collective and localized coherence) are studied in spin chains with three-site interaction. Firstly, we demonstrate that three kinds of coherence can correctly characterize the first-order quantum phase transition (QPT) induced by the anisotropy parameter, and the second-order QPT induced by the magnetic field and three-site interaction by their critical behaviors. Secondly, The triangle inequality between the basis-independent coherence and its distribution is verified, and the trade-off relations between the collective and localized coherence are captured by regulating the magnetic field. Lastly, we find that the collective coherence mainly contain the contributions from the classical and quantum correlations by virtue of the anisotropy parameter.