Follow your curiosity.
Go a little further.
From anomalies in driven systems to quantum measurement and mathematical questions, this page brings together interests and early explorations beyond our main research themes. Asking questions is part of research.
Floquet engineering & momentum gaps
• Floquet engineering in optics and condensed matters: Floquet engineering is a paradigm of tailoring and manipulating a system by a periodic drive [Nature Communications (2022); Laser & Photon. Rev. (2022); Laser & Photon. Rev. (2015)].
![Floquet engineering in optics and condensed matters: Floquet engineering is a paradigm of tailoring and manipulating a system by a periodic drive [Nature Communications (2022); Laser & Photon. Rev. (2022); Laser & Photon. Rev. (2015)].](/images/original-3.webp)
• Momentum gaps (k-gaps) and energy-momentum gaps(ωk-gaps) [PRL 130, 233801 (2023)]
| Mind the gap! | Energy gap (ω-gap) | Momentum gap (k-gap) | ωk-gap |
|---|---|---|---|
| 0-gap | Known knowns | Known unknowns | Forbidden |
| π-gap | Unknown knowns | Known unknowns | Unknown unknowns |
| 0π-gap | Unknown knowns | Known unknowns | Unknown unknowns |
Between anomalies, measurement and mathematics
These questions and figures are retained from our research notes. The suggested connection between the Riemann hypothesis and quantum mechanics is an exploratory question, not a proven equivalence.
• Floquet gauge anomalies in periodically driven systems: Anomalies are not dangerous, and they are ubiquitous associated with quantum vacuum and topology. We are focusing on exploring anomalies in driven systems [Physical Review Letters 130, 223403 (2023); ].
![Floquet gauge anomalies in periodically driven systems: Anomalies are not dangerous, and they are ubiquitous associated with quantum vacuum and topology. We are focusing on exploring anomalies in driven systems [Physical Review Letters 130, 223403 (2023); ].](/images/original-5.webp)
• Weak measurement and its realizations. Weak measurement can demonstrate the transition from quantum to classical [Light Science & Applications 12:267 (2023); Nature Physics, 16(12), 1206-1210 (2020).]. However, decoherence only leads to the statistics.
![Weak measurement and its realizations. Weak measurement can demonstrate the transition from quantum to classical [Light Science & Applications 12:267 (2023); Nature Physics, 16(12), 1206-1210 (2020).]. However, decoherence only leads to the statistics.](/images/original-6.webp)
• Riemann Hypothesis in quantum physics. Riemann hypothesis equals to Quantum mechanics?
AI & free electrons: early notes
• Prompt engineering for writing and free electron quantum neural networks
Three principles of prompt engineering:
Principle 1: be very specific in yourinstructions.
Principle 2: is to ask GPT-3 to break itswork into small chunks.
Principle 3: ask GPT-3 to check and improve its own output.
Free-electron quantum neural networks:
I know nothing yet... But I will.
PDENet database:
Compute, algorithms, data, data, data...
Life in the group
