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Письма в Журнал экспериментальной и теоретической физики, 2005, том 82, выпуск 4, страницы 200–203
(Mi jetpl1533)
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Эта публикация цитируется в 2 научных статьях (всего в 2 статьях)
АТОМЫ, СПЕКТРЫ, ИЗЛУЧЕНИЯ
Chaotic Tunneling in a Laser Field
V. L. Golo, Yu. S. Volkov Department of Mechanics and Mathematics Moscow University, 119899 Moscow, Russia
Аннотация:
We study the driven tunneling of a one-dimensional charged particle confined to a rectangular double-well. The numerical simulation of the Schrödinger equation based on the Cranck-Nicholson finite-difference scheme, shows that the modulation of the amplitude of the external field may result in the parametric resonance. The latter is accompanied by the breakdown of the quasi-periodic motion characteristic of the usual driven tunneling, and the emergence of an irregular dynamics. We describe the above breakdown with the occupation probability for the ground state of the unperturbed system, and make the visualization of the irregular dynamics with the help of Shaw-Takens' reconstruction of the state-space. Both approaches agree as to the values of the resonant frequency for the parametric excitation. Our results indicate that the shape of the laser pulse could be essential for generating chaotic tunneling.
Поступила в редакцию: 07.07.2005
Образец цитирования:
V. L. Golo, Yu. S. Volkov, “Chaotic Tunneling in a Laser Field”, Письма в ЖЭТФ, 82:4 (2005), 200–203; JETP Letters, 82:4 (2005), 181–184
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/jetpl1533 https://www.mathnet.ru/rus/jetpl/v82/i4/p200
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Страница аннотации: | 179 | PDF полного текста: | 59 | Список литературы: | 42 |
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