Наукова електронна бібліотека
періодичних видань НАН України
періодичних видань НАН України
Phase dynamics of discrete breathers periodically tunneling in weakly coupled nonlinear chains
Репозиторій DSpace/Manakin
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Phase dynamics of discrete breathers periodically tunneling in weakly coupled nonlinear chains
Тема:
Динамика нелинейных упругих сред
Інший ID:
PACS: 05.45.Yv, 63.22.–m, 03.75.Lm, 74.50.+r
Посилання:
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.
Підтримка:
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).
Дата:
2018
Переглядів:
222
Завантажень:
219
Анотація:
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.
