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Periodic modulation on phase and backgrounds for breathers and rogue waves in two-component Bose-Einstein condensates
Fei-Yan Liu1,2, Qin Zhou1,2
1Research Group of Nonlinear Optical Science and Quantum Technology, School of Microelectronics, Wuhan Textile University, Wuhan 430200, China.
Chaos (Woodbury, N.Y.)
|January 14, 2026
Summary
Spin-orbit coupling (SOC) and Raman coupling in Bose-Einstein condensates create periodic modulations in localized waves. This study reveals how these couplings affect wave phases, backgrounds, and interactions, offering insights into complex wave phenomena.
Area of Science:
- Quantum physics
- Nonlinear optics
- Condensed matter physics
Background:
- Bose-Einstein condensates (BECs) exhibit complex wave phenomena.
- Spin-orbit coupling (SOC) and Raman coupling significantly influence BEC dynamics.
- Understanding localized waves like breathers and rogue waves is crucial.
Purpose of the Study:
- Investigate periodic modulation effects of SOC and Raman coupling on breathers and rogue waves in BECs.
- Analyze how these couplings influence wave phase, background, and spin-density distributions.
- Explore the generation of diverse periodic background modulations and higher-order localized waves.
Main Methods:
- Linear stability analysis to identify modulation instability regimes.
- Establishment of Lax pairs and generalized Darboux transformations for exact solutions.
- Rigorous analysis of analytical solutions to understand modulation mechanisms.
- Numerical simulations to verify the stability of analytical solutions.
Main Results:
- SOC induces spatiotemporal periodic modulation on the phase and spin-density of breathers and rogue waves.
- Raman coupling generates periodic modulation in the backgrounds of these waves.
- Adjusting parameters allows excitation of double-periodic, single-periodic, or non-periodic backgrounds.
- Discovery of higher-order breathers with curved trajectories and dual-rogue-wave structures.
Conclusions:
- SOC and Raman coupling are key mechanisms for periodic modulation in localized BEC waves.
- The study provides exact analytical solutions and insights into nonlinear interactions.
- Findings enhance the understanding of complex wave dynamics in quantum systems.
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