Nonlinear stage of modulational instability in repulsive two-component Bose-Einstein condensates
arXiv:2412.17083 · doi:10.1103/6jsr-f8q1
Abstract
Modulational instability (MI) is a fundamental phenomenon in the study of nonlinear dynamics, spanning diverse areas such as shallow water waves, optics, and ultracold atomic gases. In particular, the nonlinear stage of MI has recently been a topic of intense exploration, and has been shown to manifest, in many cases, in the generation of dispersive shock waves (DSWs). In this work, we experimentally probe the MI dynamics in an immiscible two-component ultracold atomic gas with exclusively repulsive interactions, catalyzed by a hard-wall-like boundary produced by a repulsive optical barrier. We analytically describe the expansion rate of the DSWs in this system, generalized to arbitrary inter-component interaction strengths and species ratios. We observe excellent agreement among the analytical results, an effective 1D numerical model, full 3D numerical simulations, and experimental data. Additionally, we extend this scenario to the interaction between two counterpropagating DSWs, which leads to the production of Peregrine soliton structures. These results further demonstrate the versatility of atomic platforms towards the controlled realization of DSWs and rogue waves.
main (6 pages; 3 figures) and supplement (7 pages; 4 figures)
References in corpus (29)
- Many-Body Physics with Ultracold Gases
- Formation and Propagation of Matter Wave Soliton Trains
- Solitons in nonlinear lattices
- Effective wave-equations for the dynamics of cigar-shaped and disc-shaped Bose condensates
- Dispersive shock waves and modulation theory
- On Dispersive and Classical Shock Waves in Bose-Einstein Condensates and Gas Dynamics
- On the nonlinear stage of Modulation Instability
- Emergence of a Turbulent Cascade in a Quantum Gas
- Formation of matter-wave soliton trains by modulational instability
- Quantum Gases in Optical Boxes
- Universal nature of the nonlinear stage of modulational instability
- Multiple domain formation induced by modulation instability in two-component Bose-Einstein condensates
- Observation of a Modulational Instability in Bose-Einstein condensates
- Modulation instability and solitary wave formation in two-component Bose-Einstein condensates
- Universal nonlinear stage of the locally induced modulational instability in fiber optics
- Collisions of three-component vector solitons in Bose-Einstein condensates
- Few-body Bose gases in low dimensions -- a laboratory for quantum dynamics
- Realization of a Townes soliton in a two-component planar Bose gas
- Dam break problem for the focusing nonlinear Schrödinger equation and the generation of rogue waves
- Experimental realization of the Peregrine soliton in repulsive two-component Bose-Einstein condensates
- Observation of universal quench dynamics and Townes soliton formation from modulational instability in two-dimensional Bose gases
- From modulational instability to focusing dam breaks in water waves
- Dissipative shock waves generated by a quantum-mechanical piston
- Observation of scale invariance in two-dimensional matter-wave Townes solitons
- Riemann problems and dispersive shocks in self-focusing media
- Theoretical and numerical evidence for the potential realization of the Peregrine soliton in repulsive two-component Bose-Einstein condensates
- Effective one-component description of two-component Bose-Einstein condensate dynamics
- Collapse of a quantum vortex in an attractive two-dimensional Bose gas
- The cross-over from Townes solitons to droplets in a 2D Bose mixture