Location
Havener Center, Miner Lounge / Wiese Atrium, 1:30pm-3:30pm
Start Date
4-2-2026 1:30 PM
End Date
4-2-2026 3:30 PM
Presentation Date
April 2, 2026; 1:30pm-3:30pm
Description
Quantum droplets, are liquid type configurations stabilized by the balance between attractive mean-field interactions and repulsive quantum fluctuations. They provide highly flexible platforms for the quantum simulation of hydrodynamic phenomena using ultracold gases. Here, we explore the nonlinear quantum dynamics of two-dimensional quantum droplets under Riemann initial conditions. The steepness of the latter facilitates the emergence of radially symmetric dispersive shock waves (DSWs) when quantum fluctuations dominate. In particular, the ensuing DSWs travel from the potential edges toward the center where they collide and through their interference high amplitude spatially localized rogue wave structures emerge. In contrast, tuning the interactions in the regime where mean-field effects dominate we observe the nucleation of ring soliton configurations. Our results provide a prototypical example for engineering rogue wave generation in self-bound many-body media featuring quantum fluctuations where mean-field descriptions are prone to the celebrated wave collapse.
Biography
Farhana Bristy is a graduate student at Missouri ST specializing in the nonlinear dynamics of ultracold gases. She is currently investigating two-dimensional quantum droplets, with a specific focus on the emergence of dispersive shock waves and rogue waves. Her work utilizes the extended Gross-Pitaevskii equation to simulate how these droplets transition under the influence of quantum fluctuations. On campus, she is a dedicated leader serving as the Student Council representative for Women in Physics. Farhana is presenting her latest findings as the primary contact for her research team at the 2026 Miners Solving for Tomorrow Research Conference.
Meeting Name
2026 - Miners Solving for Tomorrow Research Conference
Department(s)
Physics
Document Type
Poster
Document Version
Final Version
File Type
event
Language(s)
English
Rights
© 2026 The Authors, All rights reserved
Included in
Dispersive Shock and Rogue Waves in Two-Dimensional Quantum Droplets
Havener Center, Miner Lounge / Wiese Atrium, 1:30pm-3:30pm
Quantum droplets, are liquid type configurations stabilized by the balance between attractive mean-field interactions and repulsive quantum fluctuations. They provide highly flexible platforms for the quantum simulation of hydrodynamic phenomena using ultracold gases. Here, we explore the nonlinear quantum dynamics of two-dimensional quantum droplets under Riemann initial conditions. The steepness of the latter facilitates the emergence of radially symmetric dispersive shock waves (DSWs) when quantum fluctuations dominate. In particular, the ensuing DSWs travel from the potential edges toward the center where they collide and through their interference high amplitude spatially localized rogue wave structures emerge. In contrast, tuning the interactions in the regime where mean-field effects dominate we observe the nucleation of ring soliton configurations. Our results provide a prototypical example for engineering rogue wave generation in self-bound many-body media featuring quantum fluctuations where mean-field descriptions are prone to the celebrated wave collapse.
Comments
Advisor: Simeon Mistakidis, smystakidis@mst.edu