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Nonlinear management of the miscibility-immiscibility transition in binary Bose-Einstein condensates
B B Baizakov1,2, B A Malomed3,4, M Salerno5
1Physical-Technical Institute, Uzbek Academy of Sciences, Tashkent 100084, Uzbekistan.
Physical Review. E
|September 16, 2025
Summary
Nonlinearity management (NM) controls the miscibility-immiscibility transition in Bose-Einstein condensates. NM restricts miscibility by periodically crossing the transition point, even with Rabi coupling (RC).
Area of Science:
- Atomic, Molecular, and Optical Physics
- Quantum Gases
- Bose-Einstein Condensates
Background:
- Bose-Einstein condensates (BECs) exhibit phase transitions between miscible and immiscible states.
- Linear mixing (Rabi coupling, RC) and trapping potentials influence the miscibility-immiscibility (MIM) transition.
- Understanding domain-wall (DW) structures is crucial for controlling BEC behavior.
Purpose of the Study:
- To investigate the application of nonlinearity management (NM) to the MIM transition in two-component BECs.
- To analyze the effects of NM with and without Rabi coupling (RC) on BEC miscibility.
- To identify and characterize domain-wall structures and their stability.
Main Methods:
- Variational approximation and numerical solutions to identify stationary domain-wall (DW) structures.
- Analytical estimates for MIM transition upshift due to trapping potentials.
- Analysis of linear excitation spectra in uniform mixed states and on DW states.
Main Results:
- Diverse stationary DW structures were identified, with approximate analytical solutions agreeing well with numerical counterparts.
- Rabi coupling (RC) increases the critical repulsion strength for the MIM transition.
- Nonlinearity management (NM) restricts miscibility, especially when periodically crossing the MIM transition point.
Conclusions:
- Nonlinearity management (NM) offers a method to control miscibility in two-component Bose-Einstein condensates.
- The presence of Rabi coupling (RC) and trapping potentials significantly impact the MIM transition dynamics.
- NM can stabilize or destabilize domain-wall structures depending on system parameters.
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