Finite-temperature scaling of trace distance discord near criticality in spin diamond structure

Wang, X. Y.; Sheng, Yu‐Bo; Gong, Lei; Zhao, Shengmei; Liu, J. M.

doi:10.1038/srep42360

Cited by 17 publications

(5 citation statements)

References 46 publications

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“…Further, we also observe that nonlocality is essentially induced by the DM interaction in the system. Recently, the phase transition in the diamond chain is studied using geometric discord in the absence of DM interaction [46]. If we include the DM interaction, it is obvious that geometric discord also signals the QPT at a finite temperature for ∆ < 1.…”

Section: Resultsmentioning

confidence: 99%

Spotlighting quantum phase transition in spin -1/2 Ising–Heisenberg diamond chain employing Measurement-Induced Nonlocality

Bhuvaneswari¹,

Muthuganesan

Radha³

2021

Physica A: Statistical Mechanics and its Applications

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We examine thermal quantum correlations characterized by Measurement-Induced Nonlocality (MIN) in an infinite spin-1/2 Ising-Heisenberg spin chain with Dzyaloshinskii-Moriya (DM) interaction. We evaluate MIN analytically in the thermodynamic limit using the transfer matrix approach and show that the MIN and its first-order derivative may spotlight the quantum criticality and quantum phase transition (QPT). We observe that the DM interaction reduces the role of anisotropy parameter in initiating QPT. Further, the DM interaction also induces the nonlocality in the system if the spins are unentangled and greatly enhances the quantum correlations if the spins are correlated. The impact of the magnetic field and temperature on quantum correlations is also brought out at a critical point.

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Section: Resultsmentioning

confidence: 99%

Spotlighting quantum phase transition in spin -1/2 Ising–Heisenberg diamond chain employing Measurement-Induced Nonlocality

Bhuvaneswari¹,

Muthuganesan

Radha³

2021

Physica A: Statistical Mechanics and its Applications

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“…A formalism for a special subset of two-qubit density operators named X-state is provided to calculate TDD in [33]. TDD is one of the most successful approaches to detect not only the quantum correlations in manyspin systems but also quantum phases transition [34,35].…”

Section: Introductionmentioning

confidence: 99%

Thermal quantum correlations of spin chain with multiple interactions

Ahadpour

Мирмасоуди

2020

Rev. Mex. Fís.

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In order to explore the impact of distance between spins on quantum correlation, we compute trace ditance discord (TDD) and spin squeezing in an anisotropic Heisenberg XYZ model with Dzyaloshinskii-Moriya interaction in the presence of the external magnetic field. It is valuable to investigate that how we can protect quantum correlations in system when the distance between the spins is promoted. We find that rich Dzyaloshinskii-Moriya interaction and low temperature can be effective for quantum correlations with increasing distance between spins. As, at sufficeintly low temperature In addition, the generated correlated channels are inspected to interchange the information between the system qubits applying the standard dense coding protocol; then, the dense coding capacity of the transmitted information is quantified. It is found that the strength Dzyaloshinskii-Moriya interaction and magnetic field have a great impact on the dynamics of the quantum correlations and, consequently, the quality of the generated channels to exchange the information. Therefore, the effect of Dzyaloshinskii-Moriya interaction for various strengths of temperature needs to be considered to have valid dense coding when distance of spin increases.

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“…Motivated by real material Cu 3 (CO 3 ) 2 (OH) 2 known as azurite [35], which can be properly characterized by Heisenberg model on a generalized diamond chain, several Ising-Heisenberg diamond chains have been examined [38,39,77]. In particular, the thermal entanglement properties were extensively investigated [40][41][42][43][44] and, more recently, the quantum teleportation through a couple of Ising-XXZ diamond chain [45] have also been reported.…”

Section: Introductionmentioning

confidence: 99%

Quantum coherence, quantum Fisher information and teleportation in the Ising-Heisenberg spin chain model of a heterotrimetallic Fe-Mn-Cu coordination polymer with magnetic impurity

Zad,

Rojas

2020

Preprint

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The effect of non-uniform magnetic fields on the Ising-Heisenberg chain of a heterotrimetallic coordination compound Fe − Mn − Cu, modeling a magnetic impurity on one dimer is studied. This impurity is configured by imposing non-uniform magnetic fields on each sites of j−th interstitial ionic dimer Mn 2+ −Cu 2+ of the chain model. The quantum coherence and pairwise entanglement between spin-1/2 magnetic Mn 2+ − Cu 2+ ion dimers clearly depend on the site which the impurity is located. It is demonstrated that when the magnetic impurity is considered for one magnetic dimer, by altering Ising nodal exchange interaction and Heisenberg anisotropy parameter of the impurity dimer, the entanglement can be enhanced to the maximal value 1 at a special fixed magnetic field. Moreover, we find that the quantum Fisher information of the model with magnetic impurity behaves considerably different from the original model. Besides of the quantum resources like concurrence, we prove that the quantum Fisher information can be used as new quantum tool for estimating the quantum phase transition in the model under consideration. On the other hand, thermal teleportation can be significantly optimized by adjusting the magnetic impurity, and a strong increase in the average fidelity is observed. Finally, the magnetic impurity can be manipulated to locally control the thermal entanglement, coherence, quantum Fisher information and teleportation unlike the original model where it is done globally.

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Finite-temperature scaling of trace distance discord near criticality in spin diamond structure

Cited by 17 publications

References 46 publications

Spotlighting quantum phase transition in spin -1/2 Ising–Heisenberg diamond chain employing Measurement-Induced Nonlocality

Spotlighting quantum phase transition in spin -1/2 Ising–Heisenberg diamond chain employing Measurement-Induced Nonlocality

Thermal quantum correlations of spin chain with multiple interactions

Quantum coherence, quantum Fisher information and teleportation in the Ising-Heisenberg spin chain model of a heterotrimetallic Fe-Mn-Cu coordination polymer with magnetic impurity

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