  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.
