Finite-size scaling of coherence and steered coherence in the Lipkin-Meshkov-Glick model

TL;DR

This paper studies how ground-state and steered coherence in the Lipkin-Meshkov-Glick model signal quantum phase transitions and reveals that their scaling behavior is determined by the phase region, offering insights into quantum criticality.

Contribution

It introduces a scaling analysis of coherence measures in the LMG model and shows their effectiveness in detecting quantum phase transitions with phase-dependent exponents.

Findings

Coherence detects quantum phase transitions faithfully.

Scaling exponents are uniquely determined by the phase region.

Results provide insights into quantum criticality mechanisms.

Abstract

Quantum coherence reflects the origin of quantumness and might be capable of extracting the subtle nature of a system. We investigate the ground-state coherence and steered coherence in the Lipkin-Meshkov-Glick model and show that they detect faithfully the quantum phase transitions of this model. Moreover, we carry out scaling analysis on the coherence and steered coherence by means of the continuous unitary transformation method and it is found that the scaling exponents are uniquely determined by the phase region of this model. These results may provide useful insights into the mechanism underlying quantum criticality in many-body systems.