Abstract
We seek to identify universal properties shared by all quantum systems with large intrinsic second hyperpolarizability ()—an invariant quantity that removes the effects of simple scaling. A large- quantum system is generated by varying the shape of a trial potential until is optimized. A variety of starting potentials yield a set of systems with distinctly shaped optimized potentials, but are found to share universal properties that separate into classes determined by the magnitude and sign of . However, the fact that the best systems are 0.6 times the fundamental limit suggests that exotic Hamiltonians may be required to reach the upper bound. The observed regularity hints at a deeper relationship between optimized systems that may provide useful insights applicable to designing better materials. Being general, this approach applies to any quantum system, including molecules, nanoparticles, or quantum gases.
©2012 Optical Society of America
Full Article | PDF ArticleMore Like This
Shoresh Shafei, Mark C. Kuzyk, and Mark G. Kuzyk
J. Opt. Soc. Am. B 27(9) 1849-1856 (2010)
Shoresh Shafei and Mark G. Kuzyk
J. Opt. Soc. Am. B 28(4) 882-891 (2011)
Mark C. Kuzyk and Mark G. Kuzyk
J. Opt. Soc. Am. B 25(1) 103-110 (2008)