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

Radhakrishnan, Chandrashekar; Parthasarathy, Manikandan; Jambulingam, Segar; Byrnes, Tim

doi:10.48550/arxiv.1709.03215

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“…The Hamiltonian for two-spin anisotropic Heisenberg X Y Z chain with DM interaction is given by [28]…”

Section: Thermal Density Matrixmentioning

confidence: 99%

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Thermal entanglement and thermal discord in two-qubit Heisenberg XYZ chain with Dzyaloshinskii–Moriya interactions

Park

2019

Quantum Inf Process

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In order to explore the effect of external temperature T in quantum correlation we compute thermal entanglement and thermal discord analytically in the Heisenberg X Y Z model with Dzyaloshinskii-Moriya Interaction term D · (σ 1 × σ 2 ). For the case of thermal entanglement it is shown that quantum phase transition occurs at T = T c due to sudden death phenomenon. For antiferromagnetic case the critical temperature T c increases with increasing |D|. For ferromagnetic case, however, T c exhibits different behavior in the regions |D| ≥ |D * | and |D| < |D * |, where D * is particular value of D. It is shown that T c becomes zero at |D| = |D * |. We explore the behavior of thermal discord in detail at T ≈ T c . For antiferromagnetic case the external temperature makes the thermal discord exhibit exponential damping behavior, but it never reaches to exact zero. For ferromagnetic case the thermal entanglement and thermal discord are shown to be zero simultaneously at T c = 0 and |D| = |D * |. This is unique condition for simultaneous disappearance of thermal entanglement and thermal discord in this model. arXiv:1901.06165v4 [quant-ph]

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“…The Hamiltonian for two-spin anisotropic Heisenberg X Y Z chain with DM interaction is given by [28]…”

Section: Thermal Density Matrixmentioning

confidence: 99%

“…In Ref. [28] the DM interaction terms are introduced in this model due to spin-orbit couplings. The general Hamiltonian for N -spin Heigenberg model with DM interaction is…”

Section: Introductionmentioning

confidence: 99%

Thermal entanglement and thermal discord in two-qubit Heisenberg XYZ chain with Dzyaloshinskii–Moriya interactions

Park

2019

Quantum Inf Process

View full text Add to dashboard Cite

show abstract

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

Cited by 1 publication

References 0 publications

Thermal entanglement and thermal discord in two-qubit Heisenberg XYZ chain with Dzyaloshinskii–Moriya interactions

Thermal entanglement and thermal discord in two-qubit Heisenberg XYZ chain with Dzyaloshinskii–Moriya interactions

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