Quantum coherence of planar spin models with Dzyaloshinsky-Moriya interaction

TL;DR

This paper explores how quantum coherence in one-dimensional planar spin models with Dzyaloshinsky-Moriya interaction can identify quantum phase transitions and reveals that this interaction suppresses phase transitions by inducing residual ferromagnetism.

Contribution

It demonstrates that quantum coherence measures can detect phase transitions and shows the impact of Dzyaloshinsky-Moriya interaction on these transitions in spin models.

Findings

Quantum coherence detects quantum phase transitions.

Derivative of coherence shows non-analytic behavior at critical points.

Dzyaloshinsky-Moriya coupling suppresses phase transitions.

Abstract

The quantum coherence of one dimensional planar spin models with the Dzyaloshinsky-Moriya interaction is investigated. The anisotropic XY model, the isotropic XX model and the transverse field model are studied in the large N-limit using the two qubit reduced density matrices and the two point correlation functions. From our investigations we find that the coherence as measured using the Jensen-Shannon divergence can be used to detect the quantum phase transitions and the quantum critical points. The derivative of coherence shows non-analytic behavior at the critical points leading to the conclusions that these transitions are of second order. Further we show that the presence of the Dzyaloshinsky-Moriya coupling suppresses the phase transition due to the residual ferromagnetism which is caused by spin canting.