The critical role of the energy spectrum in determining the nonlinear-optical response of a quantum system

Abstract

Studies aimed at understanding the global properties of the hyperpolarizabilities have focused on identifying universal properties when the hyperpolarizabilities are at the fundamental limit. These studies have taken two complimentary approaches: (1) Monte Carlo techniques that statistically probe the full parameter space of the Schrodinger Equation using the sum rules as a constraint; and, (2) numerical optimization studies of the first and second hyperpolarizability where models of the scalar and vector potentials are parameterized and the optimized parameters determined, from which universal properties are investigated. Here, we employ an energy spectrum constraint on the Monte Carlo method to bridge the divide between these two approaches. The results suggest an explanation for the origin of the factor of 20-30 gap between the best molecules and the fundamental limits and establishes the basis for the three-level ansatz.

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References in corpus (9)

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Cited by in corpus (12)

• The influence of geometry and topology of quantum graphs on their nonlinear-optical properties
• Geometry-Controlled Nonlinear Optical Response of Quantum Graphs
• Optimizing the second hyperpolarizability with minimally-parametrized potentials
• Exact fundamental limits of the first and second hyperpolarizabilities
• Phase disruption as a new design paradigm for optimizing the nonlinear-optical response
• Physics of the fundamental limits of nonlinear optics: A theoretical perspective
• A classical model of the upper bounds of the cascading contribution to the second hyperpolarizability
• The effect of extreme confinement on the nonlinear-optical response of quantum wires
• Optimum topology of quasi-one dimensional nonlinear optical quantum systems
• Optimization of eigenstates and spectra for quasi-linear nonlinear optical systems
• Hybrid quantum systems for enhanced nonlinear optical susceptibilities
• A Heuristic Approach for Treating Pathologies of Truncated Sum Rules in Limit Theory of Nonlinear Susceptibilities