Topological adiabatic dynamics in classical mass-spring chains with clamps
Mesoscale and Nanoscale Physics
2023-01-13 v2 Classical Physics
Quantum Physics
Abstract
The path dependence of adiabatic evolution in classical harmonic chains with clamps is examined. It is shown that cutting and joining a chain may braid adiabatic normal mode frequencies. Accordingly, different adiabatic paths with the same endpoints may transport a normal mode to a different one, and an adiabatic cycle pumps action variables, i.e., the adiabatic invariants of integrable classical systems. Another adiabatic pump for artificial edge modes induced by clamps is shown as an application. Extensions to completely integrable systems and quantum systems are outlined.
Cite
@article{arxiv.2210.00663,
title = {Topological adiabatic dynamics in classical mass-spring chains with clamps},
author = {Atushi Tanaka},
journal= {arXiv preprint arXiv:2210.00663},
year = {2023}
}
Comments
Improved explanations, added references, and corrected typos; 6pages, 3 figures