Bibliographic record
Abstract
Majorana fermions have garnered a large amount of attention in recent years due to their unusual behavior.They are intimately related to the exotic phenomena of topological superconductivity and consequently lie at the heart of all current proposals for topological quantum computers.Perhaps the simplest model which realizes the necessary physics required for such computers is the fermionic Kitaev chain model.A natural question to ask is whether the same physics can be realized for photons, which unlike electrons, are bosons and not fermions.In this thesis, we introduce and study a bosonic version of the Kitaev chain.Much like the original fermionic version, we show that the model is best understood in terms of the local Hermitian degrees of freedom.The system demonstrates phase-dependent chirality; signals propagate and are amplified in a manner which depends on the phase of the photonic excitation.Further, we find a striking sensitivity to boundary conditions: the boundary-less system is characterized by delocalized dynamically stable modes whereas the finite system with open boundaries only supports localized, stable modes.Finally, we discuss our system's entanglement properties.While we focus specifically on a photonic system, our ideas are in principle applicable to any kind of bosonic system.
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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 | 0.001 | 0.001 |
| Open science | 0.000 | 0.001 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.005 | 0.001 |
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".