Influence of different disorder types on Aharonov-Bohm caging in the diamond chain
Goran Gligori\'c (1), Daniel Leykam (2), Aleksandra Maluckov (1) ((1), P* Group, Vin\v{c}a Institute of Nuclear Sciences, University of Belgrade,, Belgrade, Serbia, (2) Center for Theoretical Physics of Complex Systems,, Institute for Basic Science, Republic of Korea)
TL;DR
This study investigates how various types of disorder influence Aharonov-Bohm caging in a diamond chain, revealing robustness to static and periodic disorder but delocalization under dynamic disorder.
Contribution
It provides a numerical analysis of disorder effects on Aharonov-Bohm caging, highlighting the conditions for localization and delocalization in optical waveguide arrays.
Findings
Localization remains robust under static and periodic disorder.
Time-dependent disorder causes wavepacket spreading and delocalization.
The results inform experimental designs for controlling localization in photonic systems.
Abstract
The linear diamond chain with fine-tuned effective magnetic flux has a completely flat energy spectrum and compactly-localized eigenmodes, forming an Aharonov-Bohm cage. We study numerically how this localization is affected by different types of disorder (static and time-evolving) relevant to recent realizations of Aharonov-Bohm cages in periodically-modulated optical waveguide arrays. We demonstrate robustness of localization under static and periodically-evolving disorder, while in contrast non-quenched (time-dependent) disorder leads to wavepacket spreading and delocalization.
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