Symmetry Breaking of Discrete Solitons in Two-Component Waveguide Arrays with Long-Range Linearly Coupled Effect
Bibliographic record
Abstract
In this work, we study the spontaneous symmetry breaking (SSB) of discrete solitons in two-component waveguide arrays with long-range linearly coupled effect. Stable symmetry and asymmetry two-component discrete solitons are found in the system. The symmetry transition between them are studied. We find that, increasing the strength of the linear long-range coupling, the process of the symmetry breaking from the symmetric soliton to the asymmetric soliton will switch from supercritical to subcritical type. The specific switch point is identified by numerical simulations. Compared to the case with nonlinear long-range couplings, the SSB with linear long-range coupling is opposite in behavior. These findings can help to fill the gap in our general picture of the symmetry breaking against nonlocal effects, and may possible have potential applications in optical communications and all-optical networks.
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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".