Theoretical And Numerical Evidence For The Potential Realization Of The Peregrine Soliton In Repulsive Two-Component Bose-Einstein Condensates

Author

A. Romero-Ros
Garyfallia C. Katsimiga, Missouri University of Science and TechnologyFollow
Simeon I. Mistakidis, Missouri University of Science and TechnologyFollow
B. Prinari
G. Biondini
P. Schmelcher
P. G. Kevrekidis

Abstract

The Present Work Is Motivated By The Recent Experimental Realization Of The Townes Soliton In An Effective Two-Component Bose-Einstein Condensate By B. Bakkali-Hassan Et Al. [Phys. Rev. Lett. 127, 023603 (2021)PRLTAO0031-900710.1103/PhysRevLett.127.023603]. Here, We Use A Similar Multicomponent Platform To Exemplify Theoretically And Numerically, Within The Mean-Field Gross-Pitaevskii Framework, The Potential Toward The Experimental Realization Of A Different Fundamental Wave Structure, Namely The Peregrine Soliton. Leveraging The Effective Attractive Interaction Produced Within The Mixture's Minority Species In The Immiscible Regime, We Illustrate How Initialization Of The Condensate With A Suitable Power-Law Decaying Spatial Density Pattern Yields The Robust Emergence Of The Peregrine Wave In The Absence And In The Presence Of A Parabolic Trap. We Then Showcase The Spontaneous Emergence Of The Peregrine Soliton Via A Suitably Crafted Wide Gaussian Initialization, Again Both In The Homogeneous Case And In The Trap Scenario. It Is Also Found That Narrower Wave Packets May Result In Periodic Revivals Of The Peregrine Soliton, While Broader Ones Give Rise To A Cascade Of Peregrine Solitons Arranged In A So-Called Christmas-Tree Structure. Strikingly, The Persistence Of These Rogue-Wave Structures Is Demonstrated In Certain Temperature Regimes As Well As In The Presence Of Transversal Excitations Through Three-Dimensional Computations In A Quasi-One-Dimensional Regime. This Proof-Of-Principle Illustration Is Expected To Represent A Practically Feasible Way To Generate And Observe This Rogue Wave In Realistic Current Ultracold Atom Experimental Settings.

Recommended Citation

A. Romero-Ros et al., "Theoretical And Numerical Evidence For The Potential Realization Of The Peregrine Soliton In Repulsive Two-Component Bose-Einstein Condensates," Physical Review A, vol. 105, no. 5, article no. 053306, American Physical Society, May 2022.

The definitive version is available at https://doi.org/10.1103/PhysRevA.105.053306

Department(s)

Physics

Comments

National Science Foundation, Grant DMS-1809074

International Standard Serial Number (ISSN)

2469-9934; 2469-9926

Document Type

Article - Journal

Document Version

Final Version

File Type

text

Language(s)

English

Rights

© 2024 American Physical Society, All rights reserved.

Publication Date

01 May 2022