Quantum coherence of the Heisenberg spin models with Dzyaloshinsky-Moriya interactions

TL;DR

This paper analyzes quantum coherence in Heisenberg spin models with Dzyaloshinsky-Moriya interactions, revealing how different couplings and temperature affect coherence and its relation to entanglement and correlations.

Contribution

It provides exact calculations of quantum coherence in spin chains with Dzyaloshinsky-Moriya interactions at zero and non-zero temperatures, highlighting the effects of various couplings.

Findings

Coherence is tunable by symmetric and antisymmetric interactions.

Temperature dampens quantum coherence in the system.

Coherence distribution is entirely due to spin correlations.

Abstract

We study quantum coherence in a spin chain with both symmetric exchange and antisymmetric Dzyaloshinsky-Moriya couplings. Quantum coherence is quantified using the recently introduced quantum Jensen-Shannon divergence, which has the property that it is easily calculable and has several desirable mathematical properties. We calculate exactly the coherence for arbitrary number of spins at zero temperature in various limiting cases. The $\sigma^{z} \sigma^{z}$ interaction tunes the amount of coherence in the system, and the antisymmetric coupling changes the nature of the coherence. We also investigate the effect of non-zero temperature by looking at a two-spin system and and similar behavior, with temperature dampening the coherence. The characteristic behavior of coherence resembles that of entanglement and is opposite to that of discord. The distribution of the coherence on the spins is investigated and found that it arises entirely due to the correlations between the spins.