Pairwise thermal entanglement in Ising-XYZ diamond chain structure in an external magnetic field

Abstract

Quantum entanglement is one of the most fascinating types of correlation that can be shared only among quantum systems. The Heisenberg chain is one of the simplest quantum chains which exhibits a reach entanglement feature, due to the Heisenberg interaction is quantum coupling in the spin system. The two particles were coupled trough XYZ coupling or simply called as two-qubit XYZ spin, which are the responsible for the emergence of thermal entanglement. These two-qubit operators are bonded to two nodal Ising spins, and this process is repeated infinitely resulting in a diamond chain structure. We will discuss two-qubit thermal entanglement effect on Ising-XYZ diamond chain structure. The concurrence could be obtained straightforwardly in terms of two-qubit density operator elements, using this result, we study the thermal entanglement, as well as the threshold temperature where entangled state vanishes. The present model displays a quite unusual concurrence behavior, such as, the boundary of two entangled regions becomes a disentangled region, this is intrinsically related to the XY-anisotropy in the Heisenberg coupling. Despite a similar property had been found for only two-qubit, here we show in the case of a diamond chain structure, which reasonably represents real materials.

6 pages, 7 figures

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• Localizable Entanglement
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• Dynamical quantum phase transitions in the dissipative Lipkin-Meshkov-Glick model and proposed realization in optical cavity QED
• Nature of the spin dynamics and 1/3 magnetization plateau in azurite
• Geometric frustration in the class of exactly solvable Ising-Heisenberg diamond chains
• Generalized algebraic transformations and exactly solvable classical-quantum models
• Thermal entanglement in exactly solvable Ising-XXZ diamond chain structure
• Exactly solvable mixed-spin Ising-Heisenberg diamond chain with the biquadratic interactions and single-ion anisotropy
• Phase diagram of the asymmetric tetrahedral Ising-Heisenberg chain
• Thermal Entanglement of a Spin-1/2 Ising-Heisenberg Model on a Symmetrical Diamond Chain
• Direct algebraic mapping transformation for decorated spin models
• Magnetic and quantum entanglement properties of the distorted diamond chain model for azurite
• Spinless fermion model on diamond chain
• Rise of pairwise thermal entanglement for an alternating Ising and Heisenberg spin chain in an arbitrarily oriented magnetic field

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