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

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

2005-04-30

arxiv.org/abs/physics/0505006v2

Mark G. Kuzyk, Phys. Rev. A, 72, 053819 (2005)

Physics

Optics

6 pages and 4 figures Paper now in print

Scientific paper

10.1103/PhysRevA.72.053819

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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