Dissertations, Theses, and Capstone Projects

Date of Degree

6-2025

Document Type

Doctoral Dissertation

Degree Name

Doctor of Philosophy

Program

Physics

Advisor

Sriram Ganeshan

Committee Members

Alexander Abanov

Vadim Oganesyan

Vinod Menon

Vladimir Rosenhaus

Subject Categories

Condensed Matter Physics | Fluid Dynamics | Optics | Statistical, Nonlinear, and Soft Matter Physics

Keywords

parity-breaking, fluids, nonlinear-dynamics, wave-turbulence, polariton

Abstract

This thesis explores parity-breaking mechanisms, nonlinear wave phenomena, and localization transitions across different physical contexts. First, we examine modulation instability in parity-breaking systems, deriving modified nonlinear Schr¨odinger equations that reveal direction dependent instabilities. Next, we investigate wave turbulence, demonstrating numerically that parity-breaking dispersion significantly alters turbulent cascades and modifies their statistical properties. Lastly, we analyze localization in quasiperiodic tight- binding model based on polariton condensate lattice. Collectively, these studies illustrate the universal role of symmetries and nonlinear interactions in shaping macroscopic behaviors, facilitating interdisciplinary insights.

Share

COinS