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Nonlinear management of the miscibility-immiscibility transition in binary Bose-Einstein condensates.

B B Baizakov^1,2, B A Malomed^3,4, 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).

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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.