Formulation of the twisted-light-matter interaction at the phase singularity: The twisted-light gauge
Twisted light is light carrying orbital angular momentum. The profile of such a beam is a ringlike structure with a node at the beam axis, where a phase singularity exists. Due to the strong spatial inhomogeneity the mathematical description of twisted-light-matter interaction is nontrivial, in part...
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2015
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v91_n3_p_Quinteiro http://hdl.handle.net/20.500.12110/paper_10502947_v91_n3_p_Quinteiro |
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paper:paper_10502947_v91_n3_p_Quinteiro2023-06-08T16:02:50Z Formulation of the twisted-light-matter interaction at the phase singularity: The twisted-light gauge Angular momentum Dipole moment Electric fields Hamiltonians Semiconductor quantum dots Light-matter interactions Mathematical descriptions Moment approximation Orbital angular momentum Ring-like structures Semiconductor nanostructures Spatial in-homogeneity Twisted light beams Gages Twisted light is light carrying orbital angular momentum. The profile of such a beam is a ringlike structure with a node at the beam axis, where a phase singularity exists. Due to the strong spatial inhomogeneity the mathematical description of twisted-light-matter interaction is nontrivial, in particular close to the phase singularity, where the commonly used dipole-moment approximation cannot be applied. In this paper we show that, if the handedness of circular polarization and the orbital angular momentum of the twisted-light beam have the same sign, a specific gauge - the twisted-light gauge - can be used where the Hamiltonian takes a form similar to the dipole-moment approximation. However, if the signs differ, no such gauge can be found. Here in general the magnetic parts of the light beam become of significant importance and an interaction Hamiltonian which only accounts for electric fields is inappropriate. We discuss the consequences of these findings for twisted-light excitation of a semiconductor nanostructure, e.g., a quantum dot, placed at the phase singularity. © 2015 American Physical Society. 2015 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v91_n3_p_Quinteiro http://hdl.handle.net/20.500.12110/paper_10502947_v91_n3_p_Quinteiro |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Angular momentum Dipole moment Electric fields Hamiltonians Semiconductor quantum dots Light-matter interactions Mathematical descriptions Moment approximation Orbital angular momentum Ring-like structures Semiconductor nanostructures Spatial in-homogeneity Twisted light beams Gages |
| spellingShingle |
Angular momentum Dipole moment Electric fields Hamiltonians Semiconductor quantum dots Light-matter interactions Mathematical descriptions Moment approximation Orbital angular momentum Ring-like structures Semiconductor nanostructures Spatial in-homogeneity Twisted light beams Gages Formulation of the twisted-light-matter interaction at the phase singularity: The twisted-light gauge |
| topic_facet |
Angular momentum Dipole moment Electric fields Hamiltonians Semiconductor quantum dots Light-matter interactions Mathematical descriptions Moment approximation Orbital angular momentum Ring-like structures Semiconductor nanostructures Spatial in-homogeneity Twisted light beams Gages |
| description |
Twisted light is light carrying orbital angular momentum. The profile of such a beam is a ringlike structure with a node at the beam axis, where a phase singularity exists. Due to the strong spatial inhomogeneity the mathematical description of twisted-light-matter interaction is nontrivial, in particular close to the phase singularity, where the commonly used dipole-moment approximation cannot be applied. In this paper we show that, if the handedness of circular polarization and the orbital angular momentum of the twisted-light beam have the same sign, a specific gauge - the twisted-light gauge - can be used where the Hamiltonian takes a form similar to the dipole-moment approximation. However, if the signs differ, no such gauge can be found. Here in general the magnetic parts of the light beam become of significant importance and an interaction Hamiltonian which only accounts for electric fields is inappropriate. We discuss the consequences of these findings for twisted-light excitation of a semiconductor nanostructure, e.g., a quantum dot, placed at the phase singularity. © 2015 American Physical Society. |
| title |
Formulation of the twisted-light-matter interaction at the phase singularity: The twisted-light gauge |
| title_short |
Formulation of the twisted-light-matter interaction at the phase singularity: The twisted-light gauge |
| title_full |
Formulation of the twisted-light-matter interaction at the phase singularity: The twisted-light gauge |
| title_fullStr |
Formulation of the twisted-light-matter interaction at the phase singularity: The twisted-light gauge |
| title_full_unstemmed |
Formulation of the twisted-light-matter interaction at the phase singularity: The twisted-light gauge |
| title_sort |
formulation of the twisted-light-matter interaction at the phase singularity: the twisted-light gauge |
| publishDate |
2015 |
| url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v91_n3_p_Quinteiro http://hdl.handle.net/20.500.12110/paper_10502947_v91_n3_p_Quinteiro |
| _version_ |
1768546407834189824 |