Linear entropy of purity as indicators of quantumness and criticality in a Spin-1/2 Ising–Heisenberg diamond chain

S. Bhuvaneswari, R. Muthuganesan and R. Radha

Physica A: Statistical Mechanics and its Applications, 2025, vol. 677, issue C

Abstract: In this article, exploiting the notion of the resource theory of purity, we introduce a nonclassical correlation measure defined as the difference between the purity of a quantum state and its counterpart. It is demonstrated that the proposed purity-based measure is a faithful measure of nonclassical correlation. Harnessing the above proposed nonclassical measure, we investigate the behavior of quantum correlations and critical phenomena in a spin-1/2 Ising–Heisenberg diamond chain in the presence of Dzyaloshinskii–Moriya (DM) interaction. We analyze the ground-state phase diagram of the system and demonstrate that the DM interaction significantly expands the entangled region. By constructing the thermal state of the spin-1/2 Ising–Heisenberg diamond chain, we investigate the quantum correlations of the physical system under consideration. Furthermore, we explore phase transitions in the spin-1/2 Ising–Heisenberg diamond chain from the perspective of quantum information theory focusing on quantum correlations as a tool. The impact of DM interaction and other system parameters on nonclassicality and quantum criticality have also been brought out.

Keywords: Purity; Quantum criticality; von Neumann measurements (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:677:y:2025:i:c:s0378437125005916

DOI: 10.1016/j.physa.2025.130939

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