Experimental Verification of a Universal Operator Growth Hypothesis
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2026
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866908952792399872 |
|---|---|
| author | Engelsberg, M. Barros Jr, Wilson |
| author_facet | Engelsberg, M. Barros Jr, Wilson |
| contents | F$^{19}$ nuclear magnetic resonance free induction decay (FID) data are used to verify the predictions of a universal growth hypothesis for the Lanczos coefficients proposed by Parker et al. Our results strongly support this hypothesis and permit to calculate values of the growth parameter $α$ for three crystal orientations. For the magnetic field parallel the [100] crystal axis, we found $α=3.161 \times 10^{4} sec^{-1}$. The special experimental conditions required for the observability of a singularity in the analytic continuation of the FID, which from the experimental data was found to be of branch-point type, are discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_09362 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Experimental Verification of a Universal Operator Growth Hypothesis Engelsberg, M. Barros Jr, Wilson Mesoscale and Nanoscale Physics Materials Science F$^{19}$ nuclear magnetic resonance free induction decay (FID) data are used to verify the predictions of a universal growth hypothesis for the Lanczos coefficients proposed by Parker et al. Our results strongly support this hypothesis and permit to calculate values of the growth parameter $α$ for three crystal orientations. For the magnetic field parallel the [100] crystal axis, we found $α=3.161 \times 10^{4} sec^{-1}$. The special experimental conditions required for the observability of a singularity in the analytic continuation of the FID, which from the experimental data was found to be of branch-point type, are discussed. |
| title | Experimental Verification of a Universal Operator Growth Hypothesis |
| topic | Mesoscale and Nanoscale Physics Materials Science |
| url | https://arxiv.org/abs/2604.09362 |