Intense laser-field ionization of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">H</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>enhanced by two-electron dynamics
Bibliographic record
Abstract
Intramolecular electronic dynamics and tunnel ionization of ${\mathrm{H}}_{2}$ in an intense laser field $(I\ensuremath{\approx}{10}^{14}{\mathrm{W}/\mathrm{c}\mathrm{m}}^{2}$ and $\ensuremath{\lambda}=760\mathrm{nm})$ are examined with accurate evaluation of three-dimensional two-electron wave-packet dynamics by the dual transformation method. We estimated the ionization probabilities at different values of the internuclear distance R and found that tunnel ionization of ${\mathrm{H}}_{2}$ is enhanced by field-induced two-electron dynamics. An ionic component characterized by the electronic structure ${\mathrm{H}}^{+}{\mathrm{H}}^{\ensuremath{-}}$ or ${\mathrm{H}}^{\ensuremath{-}}{\mathrm{H}}^{+}$ is created near the descending well, where the dipole interaction energy with the laser electric field $\ensuremath{\varepsilon}(t)$ becomes lower. Ionization proceeds via the formation of a localized ionic component in the descending well, in contrast to the ${\mathrm{H}}_{2}^{+}$ case, in which the electron is ejected most easily from the ascending well. As R increases, while the population of ${\mathrm{H}}^{\ensuremath{-}}{\mathrm{H}}^{+}$ (or ${\mathrm{H}}^{+}{\mathrm{H}}^{\ensuremath{-}})$ decreases, a pure ionic state ${\mathrm{H}}^{\ensuremath{-}}{\mathrm{H}}^{+}$ becomes easier to ionize in an intense field because of the smallar attractive force of the distant nucleus. As a result, ionization is enhanced at the critical distance ${R}_{c}=(4--{6)a}_{0}$ ${(a}_{0}$ is the Bohr radius). Although the rate of direct ionization from a covalent state is much smaller than that from an ionic state, the ionization at large R $(>~{8a}_{0})$ mainly proceeds from the remaining covalent component, which outmeasures the created ionic component. Thus, the field-induced intramolecular electron transfer between nuclei, which triggers strong electron-electron correlation, is governed by the molecular structure as well as the field intensity. The mechanism of the ionization enhanced by field-induced intramolecular electron transfer is consistent with the observation of charge-asymmetric dissociation channels of diatomic molecules such as ${\mathrm{N}}^{+}+{\mathrm{N}}^{3+}.$ We also investigated the intramolecular electronic dynamics by analyzing the populations of field-following adiabatic states defined as eigenfunctions of the instantaneous electronic Hamiltonian. An effective instantaneous Hamiltonian for ${\mathrm{H}}_{2}$ was constructed of three main electronic states, X, $B{}^{1}{\ensuremath{\Sigma}}_{u}^{+}$ and $\mathrm{EF}.$ We found that the difference in electronic and ionization dynamics between the small R and large R cases originates in the character of the level crossing of the lowest two adiabatic states.
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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) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.001 |
| Open science | 0.001 | 0.000 |
| Research integrity | 0.000 | 0.001 |
| Insufficient payload (model declined to judge) | 0.004 | 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".