Multiple-Quantum Spin Dynamics of Entanglement

Abstract

Dynamics of entanglement is investigated on the basis of exactly solvable models of multiple-quantum (MQ) NMR spin dynamics. It is shown that the time evolution of MQ coherences of systems of coupled nuclear spins in solids is directly connected with dynamics of the quantum entanglement. We studied analytically dynamics of entangled states for two- and three-spin systems coupled by the dipole-dipole interaction. In this case dynamics of the quantum entanglement is uniquely determined by the time evolution of MQ coherences of the second order. The real part of the density matrix describing MQ dynamics in solids is responsible for MQ coherences of the zeroth order while its imaginary part is responsible for the second order. Thus, one can conclude that dynamics of the entanglement is connected with transitions from the real part of the density matrix to the imaginary one and vice versa. A pure state which generalizes the GHZ and W states is found. Different measures of the entanglement of this state are analyzed for three-partite systems.

11 pages, 4 figures

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Cited by in corpus (10)

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• Evolution of spin entanglement and an entanglement witness in multiple-quantum NMR experiments
• Thermal entanglement and teleportation in a dipolar interacting system
• Quantum discord versus second-order MQ NMR coherence intensity in dimers
• Multiple Quantum NMR and Entanglement Dynamics in Dipolar Coupling Spin
• Many-particle Entanglement in Multiple Quantum NMR Spectroscopy
• On the temperature dependence of the interaction-induced entanglement