Phase dynamics of discrete breathers periodically tunneling in weakly coupled nonlinear chains
We present a brief discussion of the phase-coherent dynamics of discrete breathers (intrinsic localized modes) in a system of two weakly coupled nonlinear chains and its comparison with periodic tunneling of quantum particles in a double-well potential and with macroscopic quantum tunneling of two w...
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| Published in: | Физика низких температур |
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| Date: | 2018 |
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| Format: | Article |
| Language: | English |
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Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2018
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/176197 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Phase dynamics of discrete breathers periodically tunneling in weakly coupled nonlinear chains / Y.A. Kosevich // Физика низких температур. — 2018. — Т. 44, № 7. — С. 857-865. — Бібліогр.: 53 назв. — англ. |
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Kosevich, Y.A. 2021-02-04T07:07:24Z 2021-02-04T07:07:24Z 2018 Phase dynamics of discrete breathers periodically tunneling in weakly coupled nonlinear chains / Y.A. Kosevich // Физика низких температур. — 2018. — Т. 44, № 7. — С. 857-865. — Бібліогр.: 53 назв. — англ. 0132-6414 PACS: 05.45.Yv, 63.22.–m, 03.75.Lm, 74.50.+r https://nasplib.isofts.kiev.ua/handle/123456789/176197 We present a brief discussion of the phase-coherent dynamics of discrete breathers (intrinsic localized modes) in a system of two weakly coupled nonlinear chains and its comparison with periodic tunneling of quantum particles in a double-well potential and with macroscopic quantum tunneling of two weakly linked Bose–Einstein condensates. We consider the dynamics of relative phase of classically-tunneling discrete breathers in two weakly coupled nonlinear chains and show that the dynamics of the relative phase in the π/2 tunneling mode coincides with the experimentally observed dynamics of the relative phase of quantum particles, periodically tunneling in a double-well potential, both for noninteracting and strongly repulsively interacting particles. The observed coincidence demonstrates the correspondence between the dynamics of classical localized excitations in two weakly coupled nonlinear chains and tunneling dynamics of quantum object in the double-well potential. We show that in both π/2 and winding tunneling modes the relative phase experiences periodic jumps by π in the instants of complete depopulation of one of the weakly coupled chains or potential wells. The connection of the observed phase dynamics with the non-quantum uncertainty principle is discussed. The author has discussed with Arnol’d Markovich Kosevich the first papers in this field [5–7] before their publication. Arnol’d Markovich was interested in the idea of discrete breathers and intrinsic localized modes, periodically tunneling between two weakly coupled nonlinear chains, and the author is grateful to A.M. for his interest and helpful discussions. This work was supported by the Federal Agency of Scientific Organizations of Russia (Research Topic 0082- 2014-0013, No. AAAA-A17-117042510268-5). en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Физика низких температур Динамика нелинейных упругих сред Phase dynamics of discrete breathers periodically tunneling in weakly coupled nonlinear chains Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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DSpace DC |
| title |
Phase dynamics of discrete breathers periodically tunneling in weakly coupled nonlinear chains |
| spellingShingle |
Phase dynamics of discrete breathers periodically tunneling in weakly coupled nonlinear chains Kosevich, Y.A. Динамика нелинейных упругих сред |
| title_short |
Phase dynamics of discrete breathers periodically tunneling in weakly coupled nonlinear chains |
| title_full |
Phase dynamics of discrete breathers periodically tunneling in weakly coupled nonlinear chains |
| title_fullStr |
Phase dynamics of discrete breathers periodically tunneling in weakly coupled nonlinear chains |
| title_full_unstemmed |
Phase dynamics of discrete breathers periodically tunneling in weakly coupled nonlinear chains |
| title_sort |
phase dynamics of discrete breathers periodically tunneling in weakly coupled nonlinear chains |
| author |
Kosevich, Y.A. |
| author_facet |
Kosevich, Y.A. |
| topic |
Динамика нелинейных упругих сред |
| topic_facet |
Динамика нелинейных упругих сред |
| publishDate |
2018 |
| language |
English |
| container_title |
Физика низких температур |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| format |
Article |
| description |
We present a brief discussion of the phase-coherent dynamics of discrete breathers (intrinsic localized modes) in a system of two weakly coupled nonlinear chains and its comparison with periodic tunneling of quantum particles in a double-well potential and with macroscopic quantum tunneling of two weakly linked Bose–Einstein condensates. We consider the dynamics of relative phase of classically-tunneling discrete breathers in two weakly coupled nonlinear chains and show that the dynamics of the relative phase in the π/2 tunneling mode coincides with the experimentally observed dynamics of the relative phase of quantum particles, periodically tunneling in a double-well potential, both for noninteracting and strongly repulsively interacting particles. The observed coincidence demonstrates the correspondence between the dynamics of classical localized excitations in two weakly coupled nonlinear chains and tunneling dynamics of quantum object in the double-well potential. We show that in both π/2 and winding tunneling modes the relative phase experiences periodic jumps by π in the instants of complete depopulation of one of the weakly coupled chains or potential wells. The connection of the observed phase dynamics with the non-quantum uncertainty principle is discussed.
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| issn |
0132-6414 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/176197 |
| citation_txt |
Phase dynamics of discrete breathers periodically tunneling in weakly coupled nonlinear chains / Y.A. Kosevich // Физика низких температур. — 2018. — Т. 44, № 7. — С. 857-865. — Бібліогр.: 53 назв. — англ. |
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AT kosevichya phasedynamicsofdiscretebreathersperiodicallytunnelinginweaklycouplednonlinearchains |
| first_indexed |
2025-12-07T13:14:11Z |
| last_indexed |
2025-12-07T13:14:11Z |
| _version_ |
1850855392984170496 |