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Several localized waves induced by linear interference between a nonlinear plane wave and bright solitons
Yan-Hong Qin1, Li-Chen Zhao1, Zhan-Ying Yang1
1School of Physics, Northwest University, Xi'an 710069, China.
Chaos (Woodbury, N.Y.)
|February 3, 2018
Summary
Linear interference in Bose-Einstein condensates creates novel localized waves like solitons and breathers. Their interactions are phase-dependent, offering new insights into nonlinear wave phenomena.
Area of Science:
- Nonlinear physics
- Quantum mechanics
- Condensed matter physics
Background:
- Bose-Einstein condensates (BECs) are quantum states of matter.
- Bright solitons are stable, localized wave packets.
- Linear interference effects can lead to complex nonlinear phenomena.
Purpose of the Study:
- To investigate linear interference effects between nonlinear plane waves and bright solitons in a two-component BEC.
- To identify and characterize the localized waves induced by these interference effects.
- To analyze the interaction dynamics of the induced localized waves.
Main Methods:
- Theoretical analysis of a pair-transition coupled two-component BEC model.
- Identification of localized wave structures through phase diagrams based on linear interference properties.
- Detailed analysis of soliton-soliton and breather-breather interactions.
Main Results:
- Linear interference induces various localized waves: anti-dark solitons, W-shaped solitons, multi-peak solitons, Kuznetsov-Ma like breathers, and multi-peak breathers.
- Phase diagrams clarify conditions for localized wave formation.
- Soliton-soliton collisions are inelastic, while breather collisions are elastic due to phase-dependent profiles.
Conclusions:
- Localized waves formed by linear interference exhibit distinct interaction properties based on their phase dependence.
- These findings are not related to modulational instability and offer possibilities for experimental observation in two-species BECs.
- The study motivates further research into linear interference effects in other nonlinear wave systems.
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