Geometric Amplification via Non-Hermitian Berry Phase
Abstract
Despite their apparent simplicity, coupled oscillators exhibit surprisingly complex phenomena. Two notable examples are Berry phase (a geometric or topological aspect of the oscillators' memory) and non-Hermiticity (the often counterintuitive impact of dissipation), both of which possess rich mathematical structures. Here, we demonstrate that combining Berry phase and non-Hermiticity leads to a fundamentally new form of amplification. Specifically, we show that this combination allows a lossy oscillator system to be converted into one with gain via slow modulation of its parameters. This is distinct from other amplification mechanisms, as it results specifically from the complex-valued Berry phase that is unique to non-Hermitian systems. We show that this mechanism produces continuous, useful gain in an optomechanical system, and that similar results can be realized in a very wide range of settings.
Cite
@article{arxiv.2503.23197,
title = {Geometric Amplification via Non-Hermitian Berry Phase},
author = {J. R. Lane and C. Guria and J. Höller and T. D. Montalvo and Y. S. S. Patil and J. G. E. Harris},
journal= {arXiv preprint arXiv:2503.23197},
year = {2026}
}
Comments
J.R. Lane, C. Guria: These authors contributed equally to this work. J.G.E. Harris: Corresponding author. 10 pages of main texts, 4 main text figures. 46 pages of supplementary information, 10 supplementary figures