Entanglement in (1/2,1) Mixed-Spin XY Model with Long-Range Interaction

Han, Seyit Deniz; Tüfekçi, Tuĝba; Spiller, Timothy P.; Aydıner, Ekrem

doi:10.1007/s10773-017-3287-9

Cited by 19 publications

(7 citation statements)

References 72 publications

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“…In this work, we consider the Hamiltonian of the Heisenberg XY chain in the presence of a uniform magnetic field and Dzyaloshinskii–Moriya interaction in the form [ 52 ]:

where b is the uniform magnetic field, D is the Dzyaloshinskii–Moriya (DM) strength and

is the vector of Pauli matrices. Here the

denotes the spin interaction coupling, which will be defined in terms of Sutherland-Calogero–Moser (SCM).…”

Section: The Suggested Modelmentioning

confidence: 99%

“…Meanwhile, many studies show that the long-range interaction plays an important role in quantum information [ 49 , 50 , 51 ]. Moreover, the entanglement under the effect of long-range interaction has been investigated [ 52 , 53 , 54 , 55 , 56 ]. Also, the possibility of using the long-range interaction of spin models in quantum communication has been illustrated [ 57 , 58 , 59 , 60 ].…”

Section: Introductionmentioning

confidence: 99%

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Entropic Uncertainty in Spin XY Model with Long-Range Interactions

Zidan

2020

Entropy

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The behavior of the uncertainty relations and their tightness for a system, consisting of two qubits interacting thermally with a magnetic field in the presence of Dzyaloshinskii–Moriya interaction, is discussed, where different types of interaction strengths are considered. It is shown that both coupling and the magnetic field parameters decay the degree of entanglement, and increasing the uncertainty relations and the degree of mixedness. The phenomena of the sudden changes in the investigated quantities are depicted at large values of the field and coupling parameters. Concerning the type of the coupling parameters, distance and the trigonometric coupling have a clear effect on the behavior of the studied physical quantities.

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“…In this work, we consider the Hamiltonian of the Heisenberg XY chain in the presence of a uniform magnetic field and Dzyaloshinskii–Moriya interaction in the form [ 52 ]:

where b is the uniform magnetic field, D is the Dzyaloshinskii–Moriya (DM) strength and

is the vector of Pauli matrices. Here the

denotes the spin interaction coupling, which will be defined in terms of Sutherland-Calogero–Moser (SCM).…”

Section: The Suggested Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Entropic Uncertainty in Spin XY Model with Long-Range Interactions

Zidan

2020

Entropy

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“…The exchange interaction constant

J_{i j}

depends on the distance between the spins, i.e., on the lattice parameter. It is an inverse square function of the distance between two neighboring spins . The exchange interaction constants in the defect states

J_{d}

are calculated using the lattice parameters reported by Ref.…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

Magnetic Properties of Rare Earth Doped SnO₂, TiO₂ and CeO₂ Nanoparticles

Apostolov

Apostolova

Wesselinowa

2018

Physica Status Solidi (b)

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The magnetic properties of rare earth doped SnO 2 , TiO 2 , and CeO 2 nanoparticles are studied theoretically. The discrepancies in the literature for some doping cases are explained, for example, the lattice parameters and the magnetization in Pr and Sm doped CeO 2 nanoparticles. There is a strong connection between the lattice deformations and the magnetization M. M decreases (except for Y doped CeO 2 ) due to the larger radius of the rare earth ions compared to that of the host ions which leads to increase of the lattice parameters and decrease of the exchange interactions. The decrease of M is due also to the enhanced number of oxygen vacancies with increasing dopant concentration. For Y doping the lattice parameters decrease and M increases with increasing Y concentration. We have discussed the origin of the different behavior of M in rare earth doped nanoparticles.

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“…Unfortunately, the enlargement of a threshold temperature is simultaneously accompanied by the reduction of the strength of mutual quantum correlations. In order to minimize the reduction of the degree of entanglement, many of subsequent studies were concentrated on an extended mixedspin Heisenberg chain involving the Dzyaloshinskii-Moriya interaction (DMI) [34][35][36][37], the effect of nonuniform magnetic field [37][38][39][40][41][42][43], long-range interaction [44] and uniaxial single-ion anisotropy [45,46], respectively. It was verified for the mixed spin-(1/2,1), spin-(1/2,3/2) and spin-(1/2,5/2) Heisenberg chains that the inhomogeneity of the external magnetic field can be suitable tuning parameter for enhancing the thermal entanglement in a high-temperature region.…”

Section: Introductionmentioning

confidence: 99%

Unconventional Thermal and Magnetic-Field-Driven Changes of a Bipartite Entanglement of a Mixed Spin-(1/2,S) Heisenberg Dimer with an Uniaxial Single-Ion Anisotropy

Vargová

Strečka

2021

Nanomaterials

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The concept of negativity is adapted in order to explore the quantum and thermal entanglement of the mixed spin-(1/2,S) Heisenberg dimers in presence of an external magnetic field. The mutual interplay between the spin size S, XXZ exchange and uniaxial single-ion anisotropy is thoroughly examined with a goal to tune the degree and thermal stability of the pairwise entanglement. It turns out that the antiferromagnetic spin-(1/2,S) Heisenberg dimers exhibit higher degree of entanglement and higher threshold temperature in comparison with their ferromagnetic counterparts when assuming the same set of model parameters. The increasing spin magnitude S accompanied with an easy-plane uniaxial single-ion anisotropy can enhance not only the thermal stability but simultaneously the degree of entanglement. It is additionally shown that the further enhancement of a bipartite entanglement can be achieved in the mixed spin-(1/2,S) Heisenberg dimers, involving half-odd-integer spins S. Under this condition the thermal negativity saturates at low-enough temperatures in its maximal value regardless of the magnitude of half-odd-integer spin S. The magnetic field induces consecutive discontinuous phase transitions in the mixed spin-(1/2,S) Heisenberg dimers with S>1, which are manifested in a surprising oscillating magnetic-field dependence of the negativity observed at low enough temperature.

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Entanglement in (1/2,1) Mixed-Spin XY Model with Long-Range Interaction

Cited by 19 publications

References 72 publications

Entropic Uncertainty in Spin XY Model with Long-Range Interactions

Entropic Uncertainty in Spin XY Model with Long-Range Interactions

Magnetic Properties of Rare Earth Doped SnO₂, TiO₂ and CeO₂ Nanoparticles

Unconventional Thermal and Magnetic-Field-Driven Changes of a Bipartite Entanglement of a Mixed Spin-(1/2,S) Heisenberg Dimer with an Uniaxial Single-Ion Anisotropy

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Entanglement in (1/2,1) Mixed-Spin XY Model with Long-Range Interaction

Cited by 19 publications

References 72 publications

Entropic Uncertainty in Spin XY Model with Long-Range Interactions

Entropic Uncertainty in Spin XY Model with Long-Range Interactions

Magnetic Properties of Rare Earth Doped SnO2, TiO2 and CeO2 Nanoparticles

Unconventional Thermal and Magnetic-Field-Driven Changes of a Bipartite Entanglement of a Mixed Spin-(1/2,S) Heisenberg Dimer with an Uniaxial Single-Ion Anisotropy

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Magnetic Properties of Rare Earth Doped SnO₂, TiO₂ and CeO₂ Nanoparticles