Physics – Optics
Scientific paper
2003-05-30
J. Opt. B: Quantum Semiclass. Opt. 6, 59-62 (2004)
Physics
Optics
11 pages
Scientific paper
10.1088/1464-4266/6/1/010
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.
Andrews David L.
Davila Romero Luciana C.
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