Antiferromagnetic anisotropic XXZ chain of spins S= 1/2 in the presence of an inhomogeneous transverse magnetic field as a basis for the multiqubit quantum register simulation

A. A. Kokin; V. A. Kokin

doi:10.1117/12.2181023

18 December 2014 Antiferromagnetic anisotropic XXZ chain of spins S= 1/2 in the presence of an inhomogeneous transverse magnetic field as a basis for the multiqubit quantum register simulation

A. A. Kokin, V. A. Kokin

Author Affiliations +

Proceedings Volume 9440, International Conference on Micro- and Nano-Electronics 2014; 94401D (2014) https://doi.org/10.1117/12.2181023
Event: The International Conference on Micro- and Nano-Electronics 2014, 2014, Zvenigorod, Russian Federation

Abstract

This article presents the results of studies of the linear antiferromagnetic spin chain with uniaxial anisotropy (XXZ– model) placed in a transverse magnetic field directed along the anisotropy axis of the chain with a constant gradient along the chain. A spin Hamiltonian for the states close to the ground was written in the spin-wave approximation. It was diagonalized by an asymptotic expansion in the small parameter describing the magnitude of the field gradient. Local energy of the ground state and the reduced density matrix of the quantum states for a selected pair of spins in the chain have been considered in the gapped and gapless cases. Local spin polarization and the local toroidal magnetic moment have also been found. Local pair entanglement of quantum states as a characteristic of quantum correlations in the spin chain was studied.

Citation Download Citation

A. A. Kokin and V. A. Kokin "Antiferromagnetic anisotropic XXZ chain of spins S= 1/2 in the presence of an inhomogeneous transverse magnetic field as a basis for the multiqubit quantum register simulation", Proc. SPIE 9440, International Conference on Micro- and Nano-Electronics 2014, 94401D (18 December 2014); https://doi.org/10.1117/12.2181023

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KEYWORDS

Magnetism

Magnons

Anisotropy

Spin polarization

Quantum communications

Superposition

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