THE VISUALIZATION OF QUANTUM-LIKE NONLINEAR ACOUSTIC SYSTEMS

Abstract

Nonlinear acoustic systems represent a promising alternative to quantum-based computing paradigms, yet fundamental aspects of these systems remain unexplored. Comprehensive investigation necessitates the generation and analysis of extensive datasets from both physical acoustic implementations and computational simulations. The complexity of these datasets"”characterized by multidimensional attributes including individual phibit amplitudes, aggregate signal amplitude, and phibit phase outputs presents significant analytical challenges that purely numerical approaches often fail to address. This honors thesis presents the development and implementation of a specialized MATLAB Graphical User Interface that enables rapid visualization, pattern recognition, and comparative analysis of nonlinear acoustic computing systems. The research demonstrates how interactive visualization techniques reveal critical relationships between key system parameters that would otherwise remain obscured in raw numerical data. The interface facilitates efficient comparison between physical experimental results and computational simulations, allowing researchers to quickly compare the results of different system inputs. Additionally, the thesis introduces novel visualization methodologies specifically engineered to illuminate distinctive system phenomena such as Pi Jumps"”phase transitions crucial to understanding the computational capabilities of nonlinear acoustic systems. By integrating interactive visualization with complex acoustic computing data, this work contributes to both the fundamental understanding of nonlinear acoustic systems and serves as a case study for the development of multi-view visualization systems that can effectively reveal patterns and relationships in large scientific datasets.