Entanglement in (1/2,1) mixed-spin XY model with long-range interactions

TL;DR

This paper investigates how long-range inverse-square, trigonometric, and hyperbolic interactions affect thermal entanglement in a mixed-spin (1/2,1) XY model, revealing complex behaviors including entanglement plateaus and sudden death.

Contribution

It introduces a detailed analysis of long-range interactions in a mixed-spin XY model and explores their impact on thermal entanglement properties under various conditions.

Findings

Entanglement exhibits plateau behavior at short distances.

Entanglement can abruptly vanish beyond a critical distance.

Thermal entanglement depends on temperature, magnetic field, and interaction strength.

Abstract

In this study, considering the long-range interaction with an inverse-square and its trigonometric and hyperbolic variants in SCM model we investigate entanglement in (1/2,1) mixed-spin XY model. We also discuss the temperature and magnetic field dependence of the thermal entanglement in this system for different types of interaction. The numerical results show that, in the presence of the long-range interactions, thermal entanglement between spins has a rich behavior dependent upon the interaction strength, temperature and magnetic field. Indeed we find that for less than a critical distance there are entanglement plateaus dependent upon the distance between the spins, whereas above the critical distance the entanglement can exhibit sudden death.