Physical Limits on Electronic Nonlinear Molecular Susceptibilities

Phys. Rev. Lett. 85, 1218 – Published 7 August 2000
Mark G. Kuzyk


We apply sum rules to answer the question: What is the largest off-resonance electronic nonlinear susceptibility allowed by quantum mechanics? The sum-rule-restricted three-level model shows that the two-level limit yields the absolute maximum susceptibility, which is found to depend only on the first excited state transition energy and number of electrons—in agreement with a large set of second- and third-order susceptibility data from the literature. As such, the sum rules provide a target for the maximum possible off-resonant susceptibilities.


  • Received 8 December 1999
  • Revised 24 April 2000
  • Published in the issue dated 7 August 2000

© 2000 The American Physical Society

Authors & Affiliations

Mark G. Kuzyk

  • Department of Physics, Washington State University, Pullman, Washington 99164-2814


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