Dynamics and pattern formation of ring dark solitons in a two-dimensional binary Bose-Einstein condensate with...

Area of Science:

• Quantum physics
• Atomic, molecular, and optical physics
• Bose-Einstein condensates

Background:

• Bose-Einstein condensates (BECs) are quantum states of matter with unique properties.
• Dark solitons are localized excitations in BECs that can exhibit complex dynamics.
• Intercomponent interactions in binary BECs can be tuned to control soliton behavior.

Purpose of the Study:

• To investigate the dynamics and pattern formation of ring dark solitons in 2D binary BECs.
• To explore the effect of tunable intercomponent interactions with periodic modulation.
• To analyze the influence of modulation frequency (resonant/nonresonant) on soliton lifetimes and decay.

Main Methods:

• Numerical simulations using the time-dependent Gross-Pitaevskii equation.
• Consideration of both black and gray ring dark solitons.
• Analysis of systems with resonant and nonresonant modulation frequencies relative to the trapping potential.

Main Results:

• Periodic modulation significantly extends the lifetimes of ring dark solitons.
• Modulation affects soliton decay dynamics, inducing collective oscillations in number and depth.
• Instability leads to diverse decay profiles (vortex necklace, distorted octagon, etc.) dependent on modulation frequency and initial soliton depth.

Conclusions:

• Periodic modulation of intercomponent interactions offers a powerful tool to control dark soliton dynamics in binary BECs.
• This control can stabilize solitons and induce rich pattern formation.
• The observed decay profiles provide insights into the complex nonlinear dynamics of these systems.