Relaxation echo

Abstract

The possibility of generation of a microwave echo-signal due to irreversible phase relaxation in a system of equidistant triplets with a cascade scheme of magnetic-dipole transitions is predicted. The disappearance of relaxation entails the disappearance of this echo-signal. The mechanism of this effect lies in the destructive interference of quantum transitions, which radiate in anti-phase with the same eigen-frequencies. The difference in phase relaxation times for these transitions leads to incomplete damping of the resulting coherence. As a result an echo-signal is generated.

Non-stationary quasi-classical states of a charged particle in a strong magnetic field under conditions of the dissipative medium

“…Assuming in (4) β = 0, we will have f = e γt . Then the above relations will transform into the expressions obtained in [41]. Here the case, when γ = 0 and β ̸ = 0, is of greater interest.…”

“…Introducing a transverse radius-vector r ⊥ with the Cartesian components x and y and generalizing the approach proposed in [41], we write…”

“…The quasi-classical coherent and squeezed states of charged particles in a magnetic field in the absence of dissipation are well known [38][39][40]. In [41], on the basis of the Hamiltonian formalism, the non-stationary quasi-classical states have been considered in the presence of dissipation, represented by a viscous friction force, which is proportional to the classical particle velocity. In this regard, it is of interest here to take into account the drag force proportional to the square of the velocity.…”