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Compact Sum-Over-States Expression without Dipolar Terms for Calculating Nonlinear Susceptibilities

Mark G. Kuzyk
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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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Mark G. Kuzyk. 2005-12-21. Compact Sum-Over-States Expression without Dipolar Terms for Calculating Nonlinear Susceptibilities. https://doi.org/10.1103/physreva.72.053819

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