In this paper, we aim to provide a theoretical study of thermal entanglement of two qubits coupled to a spin chain with considering multiple-spin correlations which accompanies decay in multiple quantum nuclear magnetic resonance (MQ NMR) system. We show an explicit connection between the coherence factor and entanglement, and numerically and analytically study the dynamical process of entanglement in weak coupling cases for dipolar ordered initial states. We provide results that the entanglement evolution depends not only on the coupling constant between central two qubits and the system-environment couplings but also on temperature and the number of spins in chain.In this paper, we aim to provide a theoretical study of thermal entanglement of two qubits coupled to a spin chain with considering multiple-spin correlations which accompanies decay in multiple quantum nuclear magnetic resonance (MQ NMR) system. We show an explicit connection between the coherence factor and entanglement, and numerically and analytically study the dynamical process of entanglement in weak coupling cases for dipolar ordered initial states. We provide results that the entanglement evolution depends not only on the coupling constant between central two qubits and the system-environment couplings but also on temperature and the number of spins in chain.

International Journal of Modern Physics BNov 6, 20123 citations

Entanglement in the Heisenberg spin chain with multiple interaction

W. W. Cheng, Chuan-Jia Shan, Yongxian Huang +2 more

Physica E Low-dimensional Systems and NanostructuresJul 20, 201010 citations

The effect of spin-lattice relaxation on multiple-quantum NMR coherences in solids

Edward B. Fel’dman, Alexey N. Pyrkov

A phenomenological theory of spin-lattice relaxation of multiple-quantum coherences in systems of two dipolar coupled spins at low temperatures is developed. Intensities of multiple-quantum NMR coherences depending on the spin-lattice relaxation time are obtained. It is shown that the theory is also applicable to finite spin chains when the approximation of nearest neighbour interaction is used. An application of this theory to an estimation of the influence of decoherence processes on quantum entanglement and its fluctuations is briefly discussed.A phenomenological theory of spin-lattice relaxation of multiple-quantum coherences in systems of two dipolar coupled spins at low temperatures is developed. Intensities of multiple-quantum NMR coherences depending on the spin-lattice relaxation time are obtained. It is shown that the theory is also applicable to finite spin chains when the approximation of nearest neighbour interaction is used. An application of this theory to an estimation of the influence of decoherence processes on quantum entanglement and its fluctuations is briefly discussed.

arXiv:1110.0991Oct 5, 20112 citations

Multiple quantum NMR and entanglement dynamics in dipolar coupling spin systems

G. B. Furman, V. Meerovich, Vladimir Sokolovsky

We investigate numerically the time dependence of the multiple quantum coherences and entanglement in linear chains up to nine nuclear spins of $1∕2$ coupled by the dipole-dipole interactions. Two models are considered: (1) a spin chain with nearest-neighbor dipole-dipole interactions and (2) a more realistic model with interactions between all spins. It is shown that the entangled states appear between remote particles which do not interact directly (model 1), while the interaction between all spins (model 2) not always results in entanglement between remote spins.We investigate numerically the time dependence of the multiple quantum coherences and entanglement in linear chains up to nine nuclear spins of $1∕2$ coupled by the dipole-dipole interactions. Two models are considered: (1) a spin chain with nearest-neighbor dipole-dipole interactions and (2) a more realistic model with interactions between all spins. It is shown that the entangled states appear between remote particles which do not interact directly (model 1), while the interaction between all spins (model 2) not always results in entanglement between remote spins.

arXiv:0809.1049Physical Review AOct 3, 200825 citations

We investigate numerically the time dependence of the multiple quantum coherences and entanglement in linear chains up to nine nuclear spins of

1∕2

coupled by the dipole-dipole interactions. Two models are considered: (1) a spin chain with nearest-neighbor dipole-dipole interactions and (2) a more realistic model with interactions between all spins. It is shown that the entangled states appear between remote particles which do not interact directly (model 1), while the interaction between all spins (model 2) not always results in entanglement between remote spins.