Observation of compact localized states in synthetic Floquet-Lieb topological photonic lattices
Bibliographic record
Abstract
Flat bands are unique quantum states in translationally-invariant lattices that are characterized by dispersionless energy bands and compact localized Wannier functions. In static, tight-binding systems, topologically nontrivial and gapped, perfectly flat bands require infinite hopping range, making these systems difficult to realize. By introducing periodic driving into the system, it is possible to achieve flat bands embedded in topologically nontrivial bandgaps while requiring only nearest neighbor couplings. Here we realize perfectly flat bands in a Floquet-Lieb microring lattice in which the periodic circulation of light around the rings emulates a synthetic time-like dimension. Near-infrared imaging of the scattered light allows direct observation of the compact localized state, which confirms the cyclic trajectory of the Wannier function of the flat band. In addition to a symmetry-protected flat band, the dispersive bands of the lattice can also be flattened by tuning the geometric phase of the cyclically-evolving Wannier function, leading to light localization effect which may be called Aharonov-Anandan caging. The Aharonov-Anandan phase can be directly measured from the frequency displacement of the flat-band resonance. These results suggest that flat band modes in lattices with periodic synthetic dimension could provide a versatile platform for studying novel phenomena in strongly correlated quantum systems. Topological flat bands in translationally invariant lattices are challenging to achieve due to the need for infinite hopping range. Here, the authors demonstrate perfectly flat bands in a topologically nontrivial Floquet-Lieb microring lattice using periodic driving, enabling light localization and potential exploration of novel phenomena in strongly correlated quantum systems.
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.001 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.001 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one source (direct Gemma or distilled Codex), not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".