Quantum coherence versus non-classical correlations in XXZ spin-chain under Dzyaloshinsky–Moriya (DM) and KSEA interactions

Oumennana, Mansoura; Rahman, Atta Ur; Mansour, M.

doi:10.1007/s00340-022-07881-0

Cited by 26 publications

(17 citation statements)

References 67 publications

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“…We assume a two spin-1/2 XXZ chain state when exposed to an external homogeneous magnetic field characterized by the DM (D z ) and KSEA (K z ) coupling interaction oriented along the z-axis. This configuration has the Hamiltonian model given by [22]…”

Section: Physical Modelmentioning

confidence: 99%

Section: -Norm Of Coherencementioning

confidence: 99%

“…Different metrics, including the distance metric [49], the relative entropy of coherence [22] and purity [34] can be used to evaluate the coherence. The 1 -norm is a reliable coherence monotone and a coherence criterion [22]. Besides, the 1 -norm coherence for a two-qubit state ρ = X,Y ρ XY |X Y | is the sum of all the off-diagonal entries as [50]…”

Section: -Norm Of Coherencementioning

confidence: 99%

“…In practice, they have been used in a variety of domains, such as condensed matter physics and high-energy physics [20,21]. In addition, a large amount of time has been put into studying Heisenberg spin chains recently, and the preservation of quantum correlations has greatly benefited as a result [22,23]. Quantum information theory methods have been used to study the reduced density matrix of the spin-1 Heisenberg chains, including looking at quantum mutual information [24], quantum discord [25], and local quantum uncertainty measure [26].…”

Section: Introductionmentioning

confidence: 99%

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Biqubit Heisenberg spin chain correlations and entropic uncertainty

Rahman¹,

Zangi²,

Yang³

et al. 2023

Preprint

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We investigate the dynamics of quantum correlations and entropic uncertainty in a system of two-qubit XXZ-type Heisenberg spin chain when exposed to a magnetic and classical field simultaneously. To demonstrate entanglement, coherence, entropic uncertainty and mixedness disorder, we utilize negativity and 1 -norm of coherence, quantum memory-assisted entropic uncertainty and linear entropy functions, respectively. Besides, a dephasing static noise is considered affecting the joint scheme of the external magnetic and classical channel. The dynamics of entanglement, coherence, uncertainty, and disorder have been explicitly investigated against various several parameters of the current configuration, such as qubit-channel coupling, static noise strength, spin-spin coupling, Heisenberg spin exchange interaction, Dzyaloshinskii-Moriya interaction (DM), Kaplan, Shekhtman, Entin-Wohlman, and Aharony (KSEA) and anisotropy parameters. We show that compared to the individual application of the classical and magnetic field, their simultaneous application is more appropriate for the quantum correlations preservation. The entanglement and coherence functions have been shown to have opposite relationship with the entropic uncertainty and entropy disorder. Finally, compared to the entanglement, coherence remains strengthened in the two-qubit Heisenberg spin chain system.

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Section: Physical Modelmentioning

confidence: 99%

Section: -Norm Of Coherencementioning

confidence: 99%

Section: -Norm Of Coherencementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Biqubit Heisenberg spin chain correlations and entropic uncertainty

Rahman¹,

Zangi²,

Yang³

et al. 2023

Preprint

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“…Quantum correlations have been studied in many quantum systems, such as Heisenberg spin chain models (for instance, spin-1 Heisenberg chains [32], anisotropic spin-1/2 XY chain in transverse magnetic field [33]) and quantum dot systems such as two coupled double quantum dots systems [34,35] and double quantum dot system with single electron under Rashba interaction [36] ). Recently, considerable attention has been dedicated to studying the influence of the Dzyaloshinsky-Moriya (DM) interaction and the KSEA (Kaplan, Shekhtman, Entin-Wohlman, and Aharony) interaction on the quantum features of specific quantum systems [37][38][39][40].…”

Section: Introductionmentioning

confidence: 99%

Intrinsic decoherence effects on correlated coherence and quantum discord in XXZ Heisenberg model

Dahbi¹,

Oumennana²,

Mansour³

2022

Preprint

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Spin qubits are at the heart of technological advances in quantum processors and offer an excellent framework for quantum information processing. This work characterizes the time evolution of coherence and nonclassical correlations in a two-spin XXZ Heisenberg model, from which a two-qubit system is realized. We study the effects of intrinsic decoherence on coherence (correlated coherence) and nonclassical correlations (quantum discord ), taking into consideration the combined impact of an external magnetic field, Dzyaloshinsky-Moriya (DM) and Kaplan Shekhtman Entin-Wohlman-Aharony (KSEA) interactions. To fully understand the effects of intrinsic decoherence, we suppose that the system can be prepared in one of the two well-known extended Werner-like (EWL) states. The findings show that intrinsic decoherence leads the coherence and quantum correlations to decay and that the behavior of the aforementioned quantum resources relies strongly on the initial EWL state parameters. We, likewise, found that the two-spin correlated coherence and quantum discord; become more robust against intrinsic decoherence depending on the type of the initial state. These outcomes shed light on how a quantum system should be engineered to achieve quantum advantages.

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Dynamics of Quantum Correlation in a Two‐qutrit Heisenberg XXZ Model with Heitler‐London and Dzyaloshinskii‐Moriya Couplings

Adnane,

Moqine,

Khribach

et al. 2024

Annalen der Physik

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This study investigates the dynamics of quantum coherence and entanglement in the spin‐1 Heisenberg XXZ model. Particularly, the effects of the Heitler‐London (HL) coupling and the Dzyaloshinskii‐Moriya (DM) interaction are examined. By utilizing tools from quantum information theory, the concept of quantum correlated coherence and negativity are explored. The results show intrinsic decoherence leads to a decay of both correlated coherence and negativity. Interestingly, it is found that a small value of the Dzyaloshinskii‐Moriya interaction can significantly enhance coherence and entanglement. Various factors influence the system dynamics, including the initial state, anisotropy parameter, and the coupling distance between spins. It is shown that, by fixing the anisotropy parameter, the isotropic Heisenberg models XX and XXX can be easily recovered. Ultimately, the findings highlight that the system maintains a coherent temporal evolution despite decoherence.

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Quantum coherence versus non-classical correlations in XXZ spin-chain under Dzyaloshinsky–Moriya (DM) and KSEA interactions

Cited by 26 publications

References 67 publications

Biqubit Heisenberg spin chain correlations and entropic uncertainty

Biqubit Heisenberg spin chain correlations and entropic uncertainty

Intrinsic decoherence effects on correlated coherence and quantum discord in XXZ Heisenberg model

Dynamics of Quantum Correlation in a Two‐qutrit Heisenberg XXZ Model with Heitler‐London and Dzyaloshinskii‐Moriya Couplings

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