Interaction of cavity solitons on an unstable background
Bibliographic record
Abstract
The interaction of two cavity solitons in a driven semiconductor laser above lasing threshold is investigated. We focus on the case in which the background field of the solitons is turbulent because the laser is below the injection locking point. We show that the solitons move spontaneously and either reach some equilibrium distance or merge. Different behaviors are found depending on how far from the injection locking point the laser is. The laser is modeled by a set of effective Maxwell-Bloch equations which include an equation for the macroscopic polarization that mimics the complex susceptibility of the semiconductor. In that way we avoid the emergence of an unphysical behavior of the background which instead appears when the polarization is adiabatically eliminated, which amounts to assuming infinite gain linewidth. The simulations are slow because the time scales of the different dynamical variables differ by four orders of magnitude. Yet, we show that the results of the complete set of equations can be accurately reproduced with a reduced set of equations where the polarization is adiabatically eliminated but a diffusion term is included in Maxwell equation, which accounts for the finiteness of the gain linewidth.
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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 | 0.001 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.001 | 0.001 |
| Scholarly communication | 0.001 | 0.001 |
| Open science | 0.000 | 0.001 |
| Research integrity | 0.001 | 0.001 |
| Insufficient payload (model declined to judge) | 0.002 | 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".