dorsal/arxiv
View SchemaDynamical symmetries and harmonic generation
| Authors | F. Ceccherini, D. Bauer, F. Cornolti |
|---|---|
| Categories | |
| ArXiv ID | physics/0107024 |
| URL | https://arxiv.org/abs/physics/0107024 |
| DOI | 10.1088/0953-4075/34/24/305 |
Abstract
We discuss harmonic generation in the case of laser field-dressed Hamiltonians that are invariant under so-called dynamical symmetry operations. Examples for such systems are molecules which exhibit a discrete rotational symmetry of order N (e.g. benzene with N=6) interacting with a circularly polarized laser field and single atoms in a bichromatic field, with the two lasers having circular polarizations. Within a general group theory approach we study the harmonics one obtains from the interaction of a laser pulse and a circular molecule. When the system is in a pure field-dressed state the known selection rule kN \pm 1, k=1,2,3, ... results. However, other lines are observed when recombinations with states of a symmetry different from the initial one become important. This is the case for realistic laser pulses (i.e., with a finite duration). In particular when the fundamental laser frequency (or one of its multiples) is resonant with a transition between field-dressed states. Numerical ab initio simulations, confirming our analytical calculations and illustrating the power of the group theory approach, are presented.
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"abstract": "We discuss harmonic generation in the case of laser field-dressed\nHamiltonians that are invariant under so-called dynamical symmetry operations.\nExamples for such systems are molecules which exhibit a discrete rotational\nsymmetry of order\n N (e.g. benzene with N=6) interacting with a circularly polarized laser field\nand single atoms in a bichromatic field, with the two lasers having circular\npolarizations. Within a general group theory approach we study the harmonics\none obtains from the interaction of a laser pulse and a circular molecule. When\nthe system is in a pure field-dressed state the known selection rule kN \\pm 1,\nk=1,2,3, ... results. However, other lines are observed when recombinations\nwith states of a symmetry different from the initial one become important. This\nis the case for realistic laser pulses (i.e., with a finite duration). In\nparticular when the fundamental laser frequency (or one of its multiples) is\nresonant with a transition between field-dressed states. Numerical ab initio\nsimulations, confirming our analytical calculations and illustrating the power\nof the group theory approach, are presented.",
"arxiv_id": "physics/0107024",
"authors": [
"F. Ceccherini",
"D. Bauer",
"F. Cornolti"
],
"categories": [
"physics.atom-ph"
],
"doi": "10.1088/0953-4075/34/24/305",
"title": "Dynamical symmetries and harmonic generation",
"url": "https://arxiv.org/abs/physics/0107024"
},
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