Quantum Nature of Relaxation of Paramagnetic and Optical Systems by   Strong Dipole-Photon and Dipole-Phonon Coupling
  Matrix-operator difference-differential equations for dynamics of spectroscopic transitions in 1D multiqubit exchange coupled (para)magnetic and optical systems by strong dipole-photon and dipole-phonon coupling are derived within the framework of quantum electrodynamics and quantum phonon field theory. It has been established, that in the model considered the relaxation processes are of pure quantum character, which is determined by the formation of the coherent system of the resonance phonons and by the appearence along with absorption process of EM-field energy the coherent emission process, acompanying by phonon Rabi quantum oscillation, which can be time-shared. For the case of radiospectroscopy it corresponds to the possibility of the simultaneous observation along with (para)magntic spin resonance the acoustic spin resonance. Theoretical conclusions are confirmed experimentally in radiospectroscopy. It has been found in particular, that the lifetime of coherent state of collective subsystem of resonance phonons in disordered carbon samples - anthracites of medium-scale metamorphism - is very long and even by room temperature it is evaluated in $\sim 10$ ms. The phenomenon of the formation of the coherent system of the resonance phonons can be used in a number of practical applications, in particular by elaboration of logic quantum systems including quantum computers and quantum communication systems. 
D.Yearchuck, A.Dovlatova, V.Stelmakh
quant-ph