Influence of different disorder types on Aharonov-Bohm caging in the diamond chain

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.

arXiv comment13 figures

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• Non-Hermitian Floquet phases with even-integer topological invariants in a periodically quenched two-leg ladder
• Topological inverse Anderson insulator
• Critical States Generators from Perturbed Flatbands
• Tunable Aharonov-Bohm cages through anti-$\mathcal{P}\mathcal{T}$-symmetric imaginary couplings
• Flat-band quantum communication induced by disorder
• One-dimensional flat bands and Dirac cones in narrow zigzag dice lattice ribbons
• Non-perturbative dynamics of flat-band systems with correlated disorder
• The fate of disorder in twisted bilayer graphene near the magic angle
• Disorder effects in two-dimensional flat-band system with next-nearest-neighbor hopping