Franck-Condon factors via compressive sensing
| Autor: | Eneet Kaur, Wojciech Roga, Kevin Valson Jacob, Masahiro Takeoka |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Physics
Quantum Physics Photon Gaussian FOS: Physical sciences Sampling (statistics) 01 natural sciences Matching pursuit 010305 fluids & plasmas symbols.namesake Compressed sensing Distribution (mathematics) Proof of concept 0103 physical sciences symbols Statistical physics Physics::Chemical Physics Quantum Physics (quant-ph) 010306 general physics Boson |
| Zdroj: | Physical Review A. 102 |
| ISSN: | 2469-9934 2469-9926 |
| DOI: | 10.1103/physreva.102.032403 |
| Popis: | Probabilities of vibronic transitions in molecules are referred to as Franck-Condon factors (FCFs). Although several approaches for calculating FCFs have been developed, such calculations are still challenging. Recently it was shown that there exists a correspondence between the problem of calculating FCFs and boson sampling. However, if the output photon number distribution of boson sampling is sparse then it can be classically simulated. Exploiting these results, we develop a method to approximately reconstruct the distribution of FCFs of certain molecules. We demonstrate this method by applying it to formic acid and thymine at $0$ K. In our method, we first obtain the marginal photon number distributions for pairs of modes of a Gaussian state associated with the molecular transition. We then apply a compressive sensing method called polynomial-time matching pursuit to recover FCFs. 9 pages, 3 figures |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|