QUANTUM ZENO EFFECT, KAPITSA PENDULUM AND WHIRLIGIG PRINCIPLE. COMPARATIVE ANALYSIS

Comparative analysis of three stabilization mechanisms of unstable states of physical systems is presented in this review. These mechanisms are: the quantum Zeno effect, the stabilization of unstable states in an external fast oscillating field (at the example of Kapitza pendulum), and the algorithm...

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Main Author: V. A. Buts
Format: Article
Language:English
Published: V.N. Karazin Kharkiv National University Publishing 2016-03-01
Series:East European Journal of Physics
Online Access:https://periodicals.karazin.ua/eejp/article/view/5320
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spelling doaj-d33b5576985044eba75a8f3b0b1138b22020-11-24T23:11:19ZengV.N. Karazin Kharkiv National University PublishingEast European Journal of Physics2312-43342312-45392016-03-01244205320QUANTUM ZENO EFFECT, KAPITSA PENDULUM AND WHIRLIGIG PRINCIPLE. COMPARATIVE ANALYSISV. A. Buts0National Science Center «Kharkiv Institute of Physics and Technology» Akademicheskaya str. 1, 61108 Kharkiv; V.N. Karazin Kharkiv National University Svobody Sq. 4, 61022, Kharkiv, UkraineComparative analysis of three stabilization mechanisms of unstable states of physical systems is presented in this review. These mechanisms are: the quantum Zeno effect, the stabilization of unstable states in an external fast oscillating field (at the example of Kapitza pendulum), and the algorithm called as the principle of whirligig. The common features of these mechanisms, as well as the differences between them, are defined in the paper. In particular, it is shown that the stabilization of quantum systems is possible without involvement of such a notion as the collapse of the wave function. For stabilization there is enough to have such a stabilizing radiation flow when the Rabi frequency of transitions does exceed some frequency. This particular frequency is a magnitude inverse-ly proportional to the lifetime of the state under stabilization. It is shown that stabilization of unstable states by impact of rapidly oscillating forces occurs by non-self-consistent exposure, i.e. the dynamics of stabilizing field is independent of the dynamics of the stabilized state. Stabilization with the principle of whirligig does occur by self-consistent forces, and thus, in many cases stabilization by the use of the principle of whirligig can be more effective.https://periodicals.karazin.ua/eejp/article/view/5320
collection DOAJ
language English
format Article
sources DOAJ
author V. A. Buts
spellingShingle V. A. Buts
QUANTUM ZENO EFFECT, KAPITSA PENDULUM AND WHIRLIGIG PRINCIPLE. COMPARATIVE ANALYSIS
East European Journal of Physics
author_facet V. A. Buts
author_sort V. A. Buts
title QUANTUM ZENO EFFECT, KAPITSA PENDULUM AND WHIRLIGIG PRINCIPLE. COMPARATIVE ANALYSIS
title_short QUANTUM ZENO EFFECT, KAPITSA PENDULUM AND WHIRLIGIG PRINCIPLE. COMPARATIVE ANALYSIS
title_full QUANTUM ZENO EFFECT, KAPITSA PENDULUM AND WHIRLIGIG PRINCIPLE. COMPARATIVE ANALYSIS
title_fullStr QUANTUM ZENO EFFECT, KAPITSA PENDULUM AND WHIRLIGIG PRINCIPLE. COMPARATIVE ANALYSIS
title_full_unstemmed QUANTUM ZENO EFFECT, KAPITSA PENDULUM AND WHIRLIGIG PRINCIPLE. COMPARATIVE ANALYSIS
title_sort quantum zeno effect, kapitsa pendulum and whirligig principle. comparative analysis
publisher V.N. Karazin Kharkiv National University Publishing
series East European Journal of Physics
issn 2312-4334
2312-4539
publishDate 2016-03-01
description Comparative analysis of three stabilization mechanisms of unstable states of physical systems is presented in this review. These mechanisms are: the quantum Zeno effect, the stabilization of unstable states in an external fast oscillating field (at the example of Kapitza pendulum), and the algorithm called as the principle of whirligig. The common features of these mechanisms, as well as the differences between them, are defined in the paper. In particular, it is shown that the stabilization of quantum systems is possible without involvement of such a notion as the collapse of the wave function. For stabilization there is enough to have such a stabilizing radiation flow when the Rabi frequency of transitions does exceed some frequency. This particular frequency is a magnitude inverse-ly proportional to the lifetime of the state under stabilization. It is shown that stabilization of unstable states by impact of rapidly oscillating forces occurs by non-self-consistent exposure, i.e. the dynamics of stabilizing field is independent of the dynamics of the stabilized state. Stabilization with the principle of whirligig does occur by self-consistent forces, and thus, in many cases stabilization by the use of the principle of whirligig can be more effective.
url https://periodicals.karazin.ua/eejp/article/view/5320
work_keys_str_mv AT vabuts quantumzenoeffectkapitsapendulumandwhirligigprinciplecomparativeanalysis
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