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Multivalley dark solitons in multicomponent Bose-Einstein condensates with repulsive interactions.
Yan-Hong Qin1,2, Li-Chen Zhao1,3,2, Zeng-Qiang Yang4
1School of Physics, Northwest University, Xi'an 710127, China.
Physical Review. E
|August 20, 2021
Summary
Multicomponent Bose-Einstein condensates exhibit novel multivalley dark solitons. Their phase jumps and interactions differ significantly from single-component solitons, with potential for breather transitions observed.
Area of Science:
- Quantum physics
- Condensed matter physics
- Nonlinear dynamics
Background:
- Bose-Einstein condensates (BECs) are quantum states of matter with unique properties.
- Dark solitons are localized wave solutions in nonlinear systems, including BECs.
- Previous research primarily focused on single-component BECs and scalar dark solitons.
Purpose of the Study:
- To investigate multivalley dark soliton solutions in multicomponent repulsive Bose-Einstein condensates.
- To analyze the influence of soliton parameters on their dynamics and phase jumps.
- To explore collision dynamics between different types of dark solitons.
Main Methods:
- Development and application of the Darboux transformation method.
- Analytical investigation of soliton solutions with asymmetric and symmetric profiles.
- Numerical analysis of soliton-soliton interactions.
Main Results:
- Multivalley dark solitons were successfully obtained in multicomponent BECs.
- Width-dependent parameters significantly alter velocity ranges and phase jump regions compared to scalar dark solitons.
- A novel breather transition was observed when a double-valley dark soliton collides with a single-valley dark soliton.
Conclusions:
- The phase jump of an n-valley dark soliton can range from 0 to nπ.
- Breather transitions are a common phenomenon in collisions involving multivalley dark solitons.
- These findings suggest potential experimental observability in related BEC systems.
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