Entanglement in One-Dimensional Open Chains of Spins 1/2 with XY-Hamiltonian
Abstract
We investigate entanglement of spin pairs in a one-dimension open chain of spins coupled by the dipole-dipole interactions (DDI) in the equilibrium state in the external magnetic field. We suggest a method of calculation of the reduced density matrix. Concurrence, the quantitative measure of the entanglement, is estimated with Wootter's criteria. Analytical and numerical methods are used in order to investigate the influence of the temperature, chain's length, distance between the spins and their distance from the chain's ends on their entanglement.
Keywords
XY-Hamiltonian,
magnetic resonance,
reduced density matrix,
quantum register,
quantum computing,
entanglement,
qubit,
addressing problem
Supporting agencies: This work was supported by the Russian Foundation for Basic Research (project no. 04-03-32528).
About the Authors
S. I. Doronin
Institute of Problems of Chemical Physics of RAS
Russian Federation
Russian Federation
142432, Chernogolovka
E. B. Fel'dman
Institute of Problems of Chemical Physics of RAS
Russian Federation
Russian Federation
142432, Chernogolovka
A. N. Pyrkov
Institute of Problems of Chemical Physics of RAS
Russian Federation
Russian Federation
142432, Chernogolovka
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Review
For citations:
Doronin S.I., Fel'dman E.B., Pyrkov A.N. Entanglement in One-Dimensional Open Chains of Spins 1/2 with XY-Hamiltonian. Magnetic Resonance in Solids. 2006;8(1):33-37.
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