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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| Дата: | 2018 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2018
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| Назва видання: | Физика низких температур |
| Теми: | |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/176197 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1761972021-02-05T01:30:13Z Phase dynamics of discrete breathers periodically tunneling in weakly coupled nonlinear chains Kosevich, Y.A. Динамика нелинейных упругих сред 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. 2018 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/176197 en Физика низких температур Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| topic |
Динамика нелинейных упругих сред Динамика нелинейных упругих сред |
| spellingShingle |
Динамика нелинейных упругих сред Динамика нелинейных упругих сред Kosevich, Y.A. Phase dynamics of discrete breathers periodically tunneling in weakly coupled nonlinear chains Физика низких температур |
| 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. |
| format |
Article |
| author |
Kosevich, Y.A. |
| author_facet |
Kosevich, Y.A. |
| author_sort |
Kosevich, Y.A. |
| title |
Phase dynamics of discrete breathers periodically tunneling in weakly coupled nonlinear chains |
| 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 |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| publishDate |
2018 |
| topic_facet |
Динамика нелинейных упругих сред |
| url |
http://dspace.nbuv.gov.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. |
| series |
Физика низких температур |
| work_keys_str_mv |
AT kosevichya phasedynamicsofdiscretebreathersperiodicallytunnelinginweaklycouplednonlinearchains |
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2023-10-18T22:40:41Z |
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2023-10-18T22:40:41Z |
| _version_ |
1796156144629055488 |