Guardado en:
| Autores principales: | , , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2026
|
| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2602.13892 |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866914468800233472 |
|---|---|
| author | Robles-Páez, J. S. Carreño-Santos, A. T. García-Rojas, V. Pérez-Torres, J. F. |
| author_facet | Robles-Páez, J. S. Carreño-Santos, A. T. García-Rojas, V. Pérez-Torres, J. F. |
| contents | A framework for reconstructing the one-electron spinors, $Γ_7$ and $Γ_8$, of \ch{Cr^3+} ions embedded
in glasses from optical measurements has been developed. These spinors provide the basis for calculating the
spin-orbital von Neumann entropy, offering a quantitative measure of quantum entanglement within the electronic
state. To illustrate the applicability of this concept, an aluminum phosphate glass doped with 1 mol$\%$ chromium
was prepared and characterized via optical absorption spectroscopy. By extracting the fundamental electronic
parameters, including the spin-orbit coupling constant $ξ_{\rm 3d}$, the crystal field strength $Dq$, and
the Racah parameters $B$ and $C$, we demonstrate how the spin-orbital entanglement entropy, $ΔS_{\rm vN}^{\rm SO}$,
can be mapped across different chemical environments. Our analysis reveals that while individual crystal field
parameters do not dictate the degree of entanglement, the dimensionless ratio between the spin-orbit coupling
and the crystal field strength ($ξ_{\rm 3d}/Dq$) exhibits a robust linear correlation with the entropy.
This relationship serves as a clear illustration of how the competition between relativistic effects and
local symmetry governs the information content of the 3d($O_h$) electronic manifold. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_13892 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Spin-orbital entanglement in Cr$^{3+}$-doped glasses Robles-Páez, J. S. Carreño-Santos, A. T. García-Rojas, V. Pérez-Torres, J. F. Chemical Physics Atomic Physics A framework for reconstructing the one-electron spinors, $Γ_7$ and $Γ_8$, of \ch{Cr^3+} ions embedded in glasses from optical measurements has been developed. These spinors provide the basis for calculating the spin-orbital von Neumann entropy, offering a quantitative measure of quantum entanglement within the electronic state. To illustrate the applicability of this concept, an aluminum phosphate glass doped with 1 mol$\%$ chromium was prepared and characterized via optical absorption spectroscopy. By extracting the fundamental electronic parameters, including the spin-orbit coupling constant $ξ_{\rm 3d}$, the crystal field strength $Dq$, and the Racah parameters $B$ and $C$, we demonstrate how the spin-orbital entanglement entropy, $ΔS_{\rm vN}^{\rm SO}$, can be mapped across different chemical environments. Our analysis reveals that while individual crystal field parameters do not dictate the degree of entanglement, the dimensionless ratio between the spin-orbit coupling and the crystal field strength ($ξ_{\rm 3d}/Dq$) exhibits a robust linear correlation with the entropy. This relationship serves as a clear illustration of how the competition between relativistic effects and local symmetry governs the information content of the 3d($O_h$) electronic manifold. |
| title | Spin-orbital entanglement in Cr$^{3+}$-doped glasses |
| topic | Chemical Physics Atomic Physics |
| url | https://arxiv.org/abs/2602.13892 |