# Critical role of the energy spectrum in determining the nonlinear-optical response of a quantum system

@article{Shafei2011CriticalRO,
title={Critical role of the energy spectrum in determining the nonlinear-optical response of a quantum system},
author={Shoresh Shafei and Mark G. Kuzyk},
journal={Journal of The Optical Society of America B-optical Physics},
year={2011},
volume={28},
pages={882-891}
}
• Published 5 January 2011
• Physics
• Journal of The Optical Society of America B-optical Physics
Studies aimed at understanding the global properties of the hyperpolarizabilities have focused on identifying universal properties when the hyperpolarizabilities are at the fundamental limit. These studies have taken two complimentary approaches: (1) Monte Carlo techniques that statistically probe the full parameter space of the Schrodinger equation using the sum rules as a constraint, and (2) numerical optimization studies of the first and second hyperpolarizability where models of the scalar…
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