CRITICAL BEHAVIOR OF ANDERSON LOCALIZATION UNDER SATURABLE SELF-DEFOCUSING NONLINEARITY
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Bibliographic record
Abstract
We theoretically investigate the optical Anderson localization in the disordered photorefractive lattices under different strength of saturable self-defocusing nonlinearity. Via continuously increasing the value of the nonlinear parameter and applying numerical simulations respectively, a critical behavior, a transformation from a localized state to a spreading state, is found. We use different initial power of the probe and obtain a series of critical values of the nonlinear parameter. Below the critical value, the localizing effect is enhanced with the increase of the nonlinear parameter. While above the critical value, the localized state is destroyed. We give a study of the critical behavior and the critical values corresponding to different physical parameters, including the intensity of the self-defocusing nonlinearity, the intensity of the lattice-forming beams and the randomness strength of the structure.
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Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.001 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.001 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 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 it