dorsal/arxiv
View SchemaA Sum Rule for Nonlinear Optical Susceptibilities
| Authors | Luciana C. Davila Romero, David L. Andrews |
|---|---|
| Categories | |
| ArXiv ID | physics/0305131 |
| URL | https://arxiv.org/abs/physics/0305131 |
| DOI | 10.1088/1464-4266/6/1/010 |
| Journal | J. Opt. B: Quantum Semiclass. Opt. 6, 59-62 (2004) |
Abstract
It is explicitly shown, for optical processes arbitrarily comprising two-, three- or four-photon interactions, that the sum over all matter states of any optical susceptibility is exactly zero. The result remains true even in frequency regions where damping is prominent. Using a quantum electrodynamical framework to render the photonic nature of the fundamental interactions, the result emerges in the form of a traceless operator in Hilbert space. The generality of the sum rule and its significance as a thermodynamic limit are discussed, and the applicability to real systems is assessed.
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"abstract": "It is explicitly shown, for optical processes arbitrarily comprising two-,\nthree- or four-photon interactions, that the sum over all matter states of any\noptical susceptibility is exactly zero. The result remains true even in\nfrequency regions where damping is prominent. Using a quantum electrodynamical\nframework to render the photonic nature of the fundamental interactions, the\nresult emerges in the form of a traceless operator in Hilbert space. The\ngenerality of the sum rule and its significance as a thermodynamic limit are\ndiscussed, and the applicability to real systems is assessed.",
"arxiv_id": "physics/0305131",
"authors": [
"Luciana C. Davila Romero",
"David L. Andrews"
],
"categories": [
"physics.optics",
"physics.gen-ph"
],
"doi": "10.1088/1464-4266/6/1/010",
"journal_ref": "J. Opt. B: Quantum Semiclass. Opt. 6, 59-62 (2004)",
"title": "A Sum Rule for Nonlinear Optical Susceptibilities",
"url": "https://arxiv.org/abs/physics/0305131"
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