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Interrelation of dipolar spin dynamics and multiple quantum dynamics of a two-spin system with dephasing relaxation
G A Bochkin1, E B Fel'dman1, S G Vasil'ev1
1Federal Research Center of Problems of Chemical Physics and Medicinal Chemistry of Russian Academy of Sciences, Academician Semeonov av. 1, Chernogolovka, 142432, Moscow Region, Russia.
None:
We consider the spin dynamics of a two-spin system governed by the secular part of dipole-dipole interaction (due to being in a strong magnetic field) and an analogous system governed by the multiple-quantum Hamiltonian, under the action of dephasing relaxation in both cases. In both cases we obtained the exact solution of the Lindblad equation with the initial state obtained by applying a π/2 resonance pulse to the thermodynamic equilibrium state. We showed that the obtained solutions are closely related: the system density matrix for the dipolar Hamiltonian at time t coincides with the density matrix for the multiple quantum Hamiltonian at time 3t if the dephasing relaxation rate is 3 times smaller for the latter case. The experimental investigations performed confirm the above-mentioned theoretical findings. The practical use of the above result is also considered.
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