Quantum Zeno-like effect and spectra of particles in cascade transition

Details Quantum Zeno-like effect and spectra of particles in cascade transition Quantum Zeno-like effect and spectra of particles in cascade transition

2000-09-16

arxiv.org/abs/quant-ph/0009068v1

Physica A, V.287, (2000) P.193--205

Physics

Quantum Physics

13 pages, no figures, to be published in Physica A

Scientific paper

10.1016/S0378-4371(00)00316-2

Shr\"odinger equation for two-step spontaneous cascade transition in a three-level quantum system is solved by means of Markovian approximation for non-Markovian integro-differential evolution equations for amplitudes of states. It is shown that both decay constant and radiation shift of initial level are affected by instability of intermediate level of the cascade. These phenomena are interpreted as the different manifestations of quantum Zeno-like effect. The spectra of particles emitted during the cascade transition are calculated in the general case and, in particular, for an unusual situation when the initial state is lower than the intermediate one. It is shown that the spectra of particles do not have a peak-like shape in the latter case.

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