Vv. Dodonov et Ss. Mizrahi, DECAY TIMES OF QUANTUM STATES IN ONE-PHOTON AND 2-PHOTON ABSORPTION PROCESSES, Physics letters. A, 223(6), 1996, pp. 404-410
We introduce two definitions of the transition time to the ground stat
e from an arbitrary initial (pure or mixed) quantum state: ''conventio
nal'' and ''mean'' times. The dependences of these quantitative charac
teristics of the relaxation process on the initial conditions show the
qualitative difference between the one- and two-photon absorption pro
cesses: in the one-photon case, the transition times go to infinity wi
th increase of the initial mean energy, whereas these times tend to so
me constant values in the multi-photon processes (for both definitions
). The analysis of the evolution of different initial states (Fock's,
coherent, even/odd, squeezed, thermal) shows the important role of the
quantum fluctuations, because the decay times of the thermal and vacu
um squeezed states turn out to be smaller than the decay times of the
Fock and coherent states with the same initial mean photon number, bot
h in one- and two-photon processes.