Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

Static hyperpolarizability of space-fractional quantum systems

Not Accessible

Your library or personal account may give you access

Abstract

The nonlinear response is investigated for a space-fractional quantum mechanical system subject to a static electric field. Expressions for the polarizability and hyperpolarizability are derived from the fractional Schrödinger equation in the particle-centric view for a three-level model constrained by the generalized Thomas–Reiche–Kuhn sum rule matrix elements. These expressions resemble those for a semirelativistic system, where the reduction of the maximum linear and nonlinear static response is attributed to the functional dependence of the canonical position and momentum commutator. As examples, a clipped quantum harmonic oscillator potential and slant well potential are studied. The linear and first nonlinear response to the perturbing field are shown to decrease as the space fractionality is moved further below unity, which is caused by a suppression of the dipole transition moments. These results illustrate the importance of dimensionality and the order of the kinetic momentum operator, which affect the strength of a system’s optical response.

© 2016 Optical Society of America

Full Article  |  PDF Article
More Like This
Using excited states and degeneracies to enhance the electric polarizability and first hyperpolarizability

Ethan L. Crowell and Mark G. Kuzyk
J. Opt. Soc. Am. B 35(10) 2412-2422 (2018)

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (3)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (27)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved