dorsal/arxiv
View SchemaCompact Sum-Over-States Expression without Dipolar Terms for Calculating Nonlinear Susceptibilities
| Authors | Mark G. Kuzyk |
|---|---|
| Categories | |
| ArXiv ID | physics/0505006 |
| URL | https://arxiv.org/abs/physics/0505006 |
| DOI | 10.1103/PhysRevA.72.053819 |
| Journal | Mark G. Kuzyk, Phys. Rev. A, 72, 053819 (2005) |
Abstract
Using sum rules, the dipolar terms can be eliminated from the commonly-used sum-over-states (SOS) expression for nonlinear susceptibilities. This new dipole-free expression is more compact, converges to the same results as the common SOS equation, and is more appropriate for analyzing certain systems such as octupolar molecules. The dipole-free theory can be used as a tool for analyzing the uncertainties in quantum calculations of susceptibilities, can be applied to a broader set of quantum systems in the three-level model where the standard SOS expression fails, and more naturally leads to fundamental limits of the nonlinear susceptibilities.
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"abstract": "Using sum rules, the dipolar terms can be eliminated from the commonly-used\nsum-over-states (SOS) expression for nonlinear susceptibilities. This new\ndipole-free expression is more compact, converges to the same results as the\ncommon SOS equation, and is more appropriate for analyzing certain systems such\nas octupolar molecules. The dipole-free theory can be used as a tool for\nanalyzing the uncertainties in quantum calculations of susceptibilities, can be\napplied to a broader set of quantum systems in the three-level model where the\nstandard SOS expression fails, and more naturally leads to fundamental limits\nof the nonlinear susceptibilities.",
"arxiv_id": "physics/0505006",
"authors": [
"Mark G. Kuzyk"
],
"categories": [
"physics.optics",
"physics.atom-ph"
],
"doi": "10.1103/PhysRevA.72.053819",
"journal_ref": "Mark G. Kuzyk, Phys. Rev. A, 72, 053819 (2005)",
"title": "Compact Sum-Over-States Expression without Dipolar Terms for Calculating Nonlinear Susceptibilities",
"url": "https://arxiv.org/abs/physics/0505006"
},
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