dorsal/arxiv
View SchemaQuantum Zeno-like effect and spectra of particles in cascade transition
| Authors | Alexander D. Panov |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0009068 |
| URL | https://arxiv.org/abs/quant-ph/0009068 |
| DOI | 10.1016/S0378-4371(00)00316-2 |
| Journal | Physica A, V.287, (2000) P.193--205 |
Abstract
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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"abstract": "Shr\\\"odinger equation for two-step spontaneous cascade transition in a\nthree-level quantum system is solved by means of Markovian approximation for\nnon-Markovian integro-differential evolution equations for amplitudes of\nstates. It is shown that both decay constant and radiation shift of initial\nlevel are affected by instability of intermediate level of the cascade. These\nphenomena are interpreted as the different manifestations of quantum Zeno-like\neffect. The spectra of particles emitted during the cascade transition are\ncalculated in the general case and, in particular, for an unusual situation\nwhen the initial state is lower than the intermediate one. It is shown that the\nspectra of particles do not have a peak-like shape in the latter case.",
"arxiv_id": "quant-ph/0009068",
"authors": [
"Alexander D. Panov"
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"doi": "10.1016/S0378-4371(00)00316-2",
"journal_ref": "Physica A, V.287, (2000) P.193--205",
"title": "Quantum Zeno-like effect and spectra of particles in cascade transition",
"url": "https://arxiv.org/abs/quant-ph/0009068"
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