Magnonic qudit and algebraic Bethe Ansatz

Lulek, B.; Lulek, T.

doi:10.1088/1742-6596/213/1/012009

Cited by 2 publications

(2 citation statements)

References 10 publications

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“…Recently, magnonic qubits have been proposed as the memory unit of a register of a quantum computer. In this case, the magnonic information is encoded using the algebraic Bethe ansatz [360], that gives exact eigenvalues and eigenvectors of the one-dimensional AFM Heisenberg model which can be extended to other models, such as the anisotropic Heisenberg chain (XXZ model) with N-dimensional space, extracted from a 2N-dimensional space of all quantum states of the magnetic Heisenberg ring of N spins S = 1 /2 [361].…”

Section: Magnonicsmentioning

confidence: 99%

Unveiling ferromagnetism and antiferromagnetism in two dimensions at room temperature

Araujo¹,

Zarpellon²,

Mosca³

2022

J. Phys. D: Appl. Phys.

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The aim of this work is to present an overview and a critical discussion on two-dimensional materials and functional nanostructures exhibiting ferromagnetic and antiferromagnetic long-range ordering at or above room temperature. We specially describe and discuss the series of results concerning two-dimensional magnetism originated from intrinsic and induced d magnetic moments in low-dimensional nanostructured materials. Selected materials showing two-dimensional magnetic properties close to room temperature are classified as atomic monolayers, natural and artificial van der Waals layers, magneto-lamellar intermetallic compounds, and nanostructured materials containing native and artificially created defects that originate magnetic moments in networks with two-dimensional interconnectivity. To make the point on these materials, we describe their atomic and electronic structures as well as magnetic interaction mechanisms responsible for magnetic behavior. Theoretical backgrounds for understanding the correlations between structure and magnetic properties are examined. Special emphasis on the possible applications of two-dimensional magnetism for developments of new devices in the fields of spintronics, spin-orbitronics, magnonics, valleytronics and twistronics, among other emergent technologies are discussed.

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Section: Magnonicsmentioning

confidence: 99%

Unveiling ferromagnetism and antiferromagnetism in two dimensions at room temperature

Araujo¹,

Zarpellon²,

Mosca³

2022

J. Phys. D: Appl. Phys.

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“…The calculations significantly reduce the dimension of the eigenproblem of the one-dimensional Hubbard model. ✐ ✐ "Jakubczyk" -2018/9/26 -0:27 -page 702 -#2 ✐ ✐ ✐ ✐ ✐ ✐ 702Dorota JakubczykSchur-Weyl duality (SWD) [4,5] resulting in -for the half-filling case -a significance simplifications of the eigenproblem of the one-dimensional Hubbard Hamiltonian. SWD was introduced by Schur [6] and then further developed by Weyl [7], who showed that Young symmetrizators of symmetric group can be used to obtain irreducible representations of a unitary group.…”

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confidence: 99%

Application of the Schur–Weyl Duality in the One-Dimensional Hubbard Model

Jakubczyk

2020

Reports on Mathematical Physics

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We present the application of the Schur-Weyl duality in the onedimensional Hubbard model in the case of half-filled system of any number of atoms. We replace the actions of the dual symmetric and unitary groups in the whole 4 N -dimensional Hilbert space by the actions of the dual groups in the spin and pseudo-spin spaces. The calculations significantly reduce the dimension of the eigenproblem of the one-dimensional Hubbard model. ✐ ✐ "Jakubczyk" -2018/9/26 -0:27 -page 702 -#2 ✐ ✐ ✐ ✐ ✐ ✐ 702Dorota JakubczykSchur-Weyl duality (SWD) [4,5] resulting in -for the half-filling case -a significance simplifications of the eigenproblem of the one-dimensional Hubbard Hamiltonian. SWD was introduced by Schur [6] and then further developed by Weyl [7], who showed that Young symmetrizators of symmetric group can be used to obtain irreducible representations of a unitary group. In order to calculate the irreducible basis of these dual groups for any number of atoms in the spin or pseudo-spin space we use the technique of Jucys-Murphy operators presented for example in previous papers of the author -for example in [8].

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Magnonic qudit and algebraic Bethe Ansatz

Cited by 2 publications

References 10 publications

Unveiling ferromagnetism and antiferromagnetism in two dimensions at room temperature

Unveiling ferromagnetism and antiferromagnetism in two dimensions at room temperature

Application of the Schur–Weyl Duality in the One-Dimensional Hubbard Model

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