Tunable Aharonov-Bohm cages through anti-$\mathcal{PT}$-symmetric imaginary couplings
Quantum Physics
2023-08-24 v1 Optics
Abstract
The Aharonov-Bohm (AB) cage enables localized confinement with nondiffractive propagation for arbitrary excitation. In this study, we introduce an anti-parity-time (anti-) symmetric imaginary coupling in a generalized Creutz ladder to construct a non-Hermitian AB cage with tunable flat-band energy. We investigate compact localized states and complete localization dynamics, and show that non-Hermiticity affects the localization probability distributions and increases the oscillation period of the AB cage dynamics. Non-Hermitian engineering of the decoupled core of the AB cage is the essential point in our proposal. Our approach is widely applicable to a more general situation and can facilitate the manipulation of localization in physics.
Keywords
Cite
@article{arxiv.2308.11968,
title = {Tunable Aharonov-Bohm cages through anti-$\mathcal{PT}$-symmetric imaginary couplings},
author = {S. M. Zhang and H. S. Xu and L. Jin},
journal= {arXiv preprint arXiv:2308.11968},
year = {2023}
}