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Applied Magnetic Resonance

Lindblad Dephasing Relaxation and Quantum Entanglement in Two-Spin Systems in Multiple-Quantum NMR Experiments

Edward B. Fel’dman, E. I. Kuznetsova, E. I. Shipulya, Sergey G. Vasil’ev, Alexander Ivanovich Zenchuk

Published Jun 21, 2025• 3 citations
Publisher
DOI
10.1007/s00723-025-01763-2

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arXiv:1701.03585•Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•Dec 30, 2016•1 citation
Abstract Quantum entanglement in two-spin systems in multiple pulse NMR spin locking with dephasing relaxation is studied on the basis of the Lindblad equation. An exact solution for the density matrix of the system for any initial temperature is found. The dependence of the concurrence (which determines quantum entanglement) on the dephasing relaxation rate and the parameters of the multiple pulse sequence is investigated. For different rates of dephasing relaxation, the critical temperature at which entanglement arises is found.
Quantum correlations in multiple quantum (MQ) NMR experiments are investigated in two-spin systems (dimers). In the initial moment of time one spin is in a pure quantum polarized state and the other spin is in the thermodynamic equilibrium state defined by the temperature of the sample. MQ NMR dynamics of dimers is investigated. It is shown that MQ NMR coherences of only the zeroth and second orders emerge in such a system. The intensities of those coherences are calculated. Entangled states appear in the course of the system evolution in the MQ NMR experiment. The quantum discord is obtained in the high temperature approximation.