Spontaneous symmetry breaking of self-trapped and leaky modes in quasi-double-well potentials
Krzysztof Zegadło , N. Dror , M. Trippenbach , Miroslaw A. Karpierz , B.A. Malomed
AbstractWe investigate competition between two phase transitions of the second kind induced by the self-attractive nonlinearity, viz., self-trapping of the leaky modes, and spontaneous symmetry breaking (SSB) of both fully trapped and leaky states. We use a one-dimensional mean-field model, which combines the cubic nonlinearity and a double-well-potential (DWP) structure with an elevated floor, which supports leaky modes (quasi-bound states) in the linear limit. The setting can be implemented in nonlinear optics and Bose-Einstein condensates. The order in which the SSB and self-trapping transitions take place with the growth of the nonlinearity strength depends on the height of the central barrier of the DWP: the SSB happens first if the barrier is relatively high, while self-trapping comes first if the barrier is lower. The SSB of the leaky modes is characterized by specific asymmetry of their radiation tails, which, in addition, feature a resonant dependence on the relation between the total size of the system and radiation wavelength. As a result of the SSB, the instability of symmetric modes initiates spontaneous Josephson oscillations. Collisions of freely moving solitons with the DWP structure admit trapping of an incident soliton into a state of persistent shuttle motion, due to emission of radiation. The study is carried out numerically, and basic results are explained by means of analytical considerations. © 2016 American Physical Society.
|Journal series||Physical Review A, ISSN 2469-9926, e-ISSN 2469-9934, [1050-2947, 1538-4446]|
|Publication size in sheets||1182.2|
|Keywords in English||Bose-Einstein condensation; Control nonlinearities; Mean field theory; Solitons; Statistical mechanics, Bose-Einstein condensates; Cubic nonlinearities; Double-well potential; Josephson oscillations; Mean field modeling; Quasi-bound state; Radiation wavelength; Spontaneous symmetry breaking, Nonlinear optics|
|Score|| = 35.0, 09-09-2020, ArticleFromJournal|
= 35.0, 09-09-2020, ArticleFromJournal
|Publication indicators||= 8; = 7; = 9.0; : 2016 = 0.985; : 2018 = 2.907 (2) - 2018=2.723 (5)|
|Citation count*||9 (2020-09-04)|
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.