Local quantum uncertainty in XY Z Heisenberg spin models with Dzyaloshinski–Moriya interaction

Habiballah, Nabil; Khedif, Youssef; Daoud, Mohammed

doi:10.1140/epjd/e2018-90255-y

Cited by 33 publications

(11 citation statements)

References 35 publications

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“…In this research, we extend the results obtained in [24] where the behavior of LQU in a two-qubit onedimensional XYZ Heisenberg chain with Dzyaloshinski-Moriya interaction in thermal equilibrium has been discussed. By introducing intrinsic decoherence stemming from the spin system evolution, we mainly focus on how the intrinsic decoherence influences the dynamics of LQU in a two-qubit Heisenberg spin chain in the presence of nonuniform external magnetic field and Dzyaloshinski-Moriya interaction with intrinsic decoherence.…”

Section: Introductionsupporting

confidence: 65%

Local quantum uncertainty in a two-qubit Heisenberg spin chain with intrinsic decoherence

Guo¹,

Peng²,

Tian³

et al. 2021

Phys. Scr.

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Quantum correlation plays an important role in quantum information processing, for which various quantifiers have been proposed so far. In this paper, we address the dynamics of local quantum uncertainty (LQU) as a reliable quantifier of quantum correlation in a two-qubit Heisenberg spin chain in the presence of nonuniform external magnetic field and Dzyaloshinski-Moriya interaction with intrinsic decoherence. The influences of the initial states, external magnetic field strength, Dzyaloshinski-Moriya interaction strength and intrinsic decoherence rate on the dynamics of LQU have been in detail investigated. Our analytical results show that the dynamics of LQU is strongly depended on the form of initial states. For an initial correlated state, the dynamical behaviors of LQU exhibit either monotonic decay or damped oscillations with respect to time. While for an initial separable state, quantum correlation quantified by LQU can be created due to the Dzyaloshinski-Moriya interaction and Heisenberg anisotropic interaction. Besides, the relationship between LQU and l-norm coherence or concurrence is also demonstrated in the present model.

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Section: Introductionsupporting

confidence: 65%

Local quantum uncertainty in a two-qubit Heisenberg spin chain with intrinsic decoherence

Guo¹,

Peng²,

Tian³

et al. 2021

Phys. Scr.

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“…The results show that the DM interaction may control quantum correlations. The thermal non-classical correlations of the two-qubit Heisenberg chain subjected to a transverse magnetic field and DM interaction were also investigated using LQU [25]. Alternatively, Wigner-Yanase skews information was used to investigate quantum phase transitions [26].…”

Section: Introductionmentioning

confidence: 99%

Entanglement in a two-qubit Heisenberg XXX chain with x-components of Dzyaloshinskii-Moriya and Kaplan-Shekhtman-Entin-Wohlman-Aharony interactions

Houça,

Choubabi,

Bouziani

et al. 2021

Preprint

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This article explores the concurrence, including entanglement, in a two-qubit Heisenberg XXX chain with Dzyaloshinskii-Moriya and Kaplan-Shekhtman-Entin-Wohlman-Aharony interactions. The concurrence expression was developed using the physical variables connected with the chosen system. Our results indicate that temperature, the spin coupling constant J, the x-components D x , and Γ x may all play a role in determining the degree of intricacy between states. Additionally, these findings imply that the separability of states is possible for high-temperature domains or ferromagnetic chains. In contrast, the entanglement of states may be achieved by using high values for the x-components D x or Γ x parameters or by using an antiferromagnetic chain.

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“…In this order, quantum steering vs entanglement and extracting work in an anisotropic two-qubit Heisenberg model in presence of external magnetic fields with DM and KSEA Interactions, was investigated [20,21]. Recently, the quantum correlations and fidelity are taking into consideration in the differents works [22][23][24][25][26][27].…”

Section: Introductionmentioning

confidence: 99%

Measure and control of quantum correlations in optomechanics

Amazioug

Daoud

2021

Eur. Phys. J. D

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We explore the quantum correlations, fidelity and quantum thermodynamics of two coupled double quantum dots containing two excess electrons. In this regard, we investigate and compare the evolution of those measures under thermal effects and tunneling coupling. We find the hierarchy of quantum correlations, and one-way steering between the two quantum dots. We found, as expect that the quantum correlations are diminishes by increasing the values of temperature. We show that this state can be used for quantum teleportation. On the other, we address the extracting work and efficiency of the state. We compare the extraction work with the bare energies. Our results show that quantum dots states have a reliable and better capacity to preserve quantum correlations and remain one of the good resources for the deployment of quantum information processing protocols.

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Local quantum uncertainty in XY Z Heisenberg spin models with Dzyaloshinski–Moriya interaction

Cited by 33 publications

References 35 publications

Local quantum uncertainty in a two-qubit Heisenberg spin chain with intrinsic decoherence

Local quantum uncertainty in a two-qubit Heisenberg spin chain with intrinsic decoherence

Entanglement in a two-qubit Heisenberg XXX chain with x-components of Dzyaloshinskii-Moriya and Kaplan-Shekhtman-Entin-Wohlman-Aharony interactions

Measure and control of quantum correlations in optomechanics

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