Session: 01-02-01: Topological Phononics

Paper Number: 145054

145054 - The Role of Berry Phase in Topological Transitions of Classical Elastic Bits 

The Berry Phase is a fundamental concept in both classical and quantum physics, elucidating the topological phenomena in physical systems. We demonstrate controlled Berry phase accumulation by manipulating the classical counterpart of the quantum bit, known as the elastic bit, using externally driven nonlinear coupled granules. By adjusting the amplitudes, phases, and frequencies of external drivers, we can steer the elastic bit's state vectors around the Bloch sphere, resulting in specific Berry phases. These phases serve as markers to differentiate between trivial and nontrivial topologies within the elastic bit system. A zero Berry phase signifies pure states of the linear granular system, while a nontrivial π phase indicates states of equal superposition. Other superposed states yield varying Berry phases.

Importantly, these Berry phases are directly linked to the vibrational eigenmodes of the granular system. Trivial phases correspond to distinct eigenmodes, either in-phase or out-of-phase, whereas nontrivial phases are associated with coupled vibrations. In these coupled states, energy exchanges among the granules, alternating between oscillation and rest. This study highlights the physical manipulation of new materials and their sensing techniques under varied conditions, drawing parallels to the behavior observed in quantum systems.

[Funding: NSF grant # 2204382, 2242925]

Presenting Author: M Arif Hasan Wayne State University

Presenting Author Biography: M. Arif Hasan serves as an Assistant Professor in the Department of Mechanical Engineering at Wayne State University. After completing his Ph.D. in Theoretical and Applied Mechanics at the University of Illinois at Urbana-Champaign in 2014, Dr. Hasan advanced from a Postdoctoral Scholar to an Assistant Research Professor, leading to his current role at Wayne State University since August 2021. His research focuses on classical acoustics and dynamics, exploring similarities with quantum systems to uncover new benefits. Dr. Hasan is known for developing innovative topological features, areas that were honored with the 2016 Nobel Prize in Physics and the 2022 Abel Prize in Mathematics, which open up novel functional possibilities and applications. His pioneering work on creating classical systems analogous to quantum bits and qutrits presents a groundbreaking approach to achieving objectives in quantum information science and technology. Dr. Hasan is dedicated to research-based mentoring, demonstrated by his participation in funded projects designed to cultivate future engineers and researchers, underscoring his significant contributions to the field through substantial NSF grants.

Authors:

M Arif Hasan Wayne State University
Kazi Mahmood Wayne State University