Dynamically assisted tunneling in the Floquet picture
Bibliographic record
Abstract
We study how tunneling through a potential barrier <a:math xmlns:a="http://www.w3.org/1998/Math/MathML"><a:mrow><a:mi>V</a:mi><a:mo>(</a:mo><a:mi>x</a:mi><a:mo>)</a:mo></a:mrow></a:math> can be enhanced by an additional harmonically oscillating electric field <b:math xmlns:b="http://www.w3.org/1998/Math/MathML"><b:mrow><b:mi mathvariant="fraktur">E</b:mi><b:mrow><b:mo>(</b:mo><b:mi>t</b:mi><b:mo>)</b:mo></b:mrow><b:mo>=</b:mo><b:msub><b:mi mathvariant="fraktur">E</b:mi><b:mn>0</b:mn></b:msub><b:mo form="prefix">cos</b:mo><b:mrow><b:mo>(</b:mo><b:mi>ω</b:mi><b:mi>t</b:mi><b:mo>)</b:mo></b:mrow></b:mrow></b:math> or a similar oscillating force. To this end, we transform into the Kramers-Henneberger frame and calculate the coupled Floquet channels numerically. We find distinct signatures of resonances when the incident energy <f:math xmlns:f="http://www.w3.org/1998/Math/MathML"><f:mi>E</f:mi></f:math> equals the driving frequency <g:math xmlns:g="http://www.w3.org/1998/Math/MathML"><g:mrow><g:mi>ω</g:mi><g:mo>=</g:mo><g:mi>E</g:mi></g:mrow></g:math>, which clearly shows the breakdown of the time-averaged potential approximation in this regime. As a simple model for experimental applications (e.g., in solid-state physics), we study the rectangular potential, which can also be benchmarked with respect to analytical results. Finally, we consider the truncated Coulomb potential relevant for nuclear fusion. Published by the American Physical Society 2024
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How this classification was reachedexpand
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) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.001 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.001 | 0.000 |
| Research integrity | 0.000 | 0.001 |
| 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 itClassification
machine, unvalidatedMachine predicted; a candidate call from one teacher head, 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".