# Contributions of different parts of spin–spin interactions to quantum correlations in a spin ring model in an external magnetic field

Contributions of different parts of spin–spin interactions to quantum correlations in a spin... We study quantum correlations in a bipartite heteronuclear $$(N-1)\times 1$$ ( N - 1 ) × 1 system in an external magnetic field. The system consists of a spin ring with an arbitrary number $$N-1$$ N - 1 of spins on the ring and one spin in its center. The spins on the ring are connected by secular dipole–dipole interactions and interact with the central spin through the Heisenberg $$zz$$ z z -interaction. We show that the quantum discord, describing quantum correlations between the ring and the central spin, can be obtained analytically for this model in the high-temperature approximation. The model allows us to find contributions of different parts of the spin–spin interactions to quantum correlations. We also investigate the evolution of quantum and classical correlations at different numbers of spins. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

# Contributions of different parts of spin–spin interactions to quantum correlations in a spin ring model in an external magnetic field

, Volume 14 (8) – May 23, 2015
15 pages

/lp/springer_journal/contributions-of-different-parts-of-spin-spin-interactions-to-quantum-qsotojgoII
Publisher
Springer US
Subject
Physics; Quantum Information Technology, Spintronics; Quantum Computing; Data Structures, Cryptology and Information Theory; Quantum Physics; Mathematical Physics
ISSN
1570-0755
eISSN
1573-1332
D.O.I.
10.1007/s11128-015-1031-z
Publisher site
See Article on Publisher Site

### Abstract

We study quantum correlations in a bipartite heteronuclear $$(N-1)\times 1$$ ( N - 1 ) × 1 system in an external magnetic field. The system consists of a spin ring with an arbitrary number $$N-1$$ N - 1 of spins on the ring and one spin in its center. The spins on the ring are connected by secular dipole–dipole interactions and interact with the central spin through the Heisenberg $$zz$$ z z -interaction. We show that the quantum discord, describing quantum correlations between the ring and the central spin, can be obtained analytically for this model in the high-temperature approximation. The model allows us to find contributions of different parts of the spin–spin interactions to quantum correlations. We also investigate the evolution of quantum and classical correlations at different numbers of spins.

### Journal

Quantum Information ProcessingSpringer Journals

Published: May 23, 2015

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