Optimum topology of quasi-one dimensional nonlinear optical quantum systems
| Autor: | Mark G. Kuzyk, Rick Lytel, Shoresh Shafei |
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| Rok vydání: | 2014 |
| Předmět: |
Physics
Quantum Physics Mesoscopic physics Physics and Astronomy (miscellaneous) Nonlinear optics FOS: Physical sciences Topology 01 natural sciences Atomic and Molecular Physics and Optics Quantum chaos Electronic Optical and Magnetic Materials 010309 optics symbols.namesake Quantum dot Quantum graph 0103 physical sciences symbols 010306 general physics Wave function Hamiltonian (quantum mechanics) Quantum Physics (quant-ph) Quantum |
| DOI: | 10.48550/arxiv.1405.0420 |
| Popis: | In this paper, we determine the optimum topology of quasi-one-dimensional nonlinear optical structures using generalized quantum graph models. Quantum graphs are relational graphs endowed with a metric and a multiparticle Hamiltonian acting on the edges, and have a long application history in aromatic compounds, mesoscopic and artificial materials, and quantum chaos. Quantum graphs have recently emerged as models of quasi-one-dimensional electron motion for simulating quantum-confined nonlinear optical systems. This paper derives the nonlinear optical properties of quantum graphs containing the basic star vertex and compares their responses across topological and geometrical classes. We show that such graphs have exactly the right topological properties to generate energy spectra required to achieve large, intrinsic optical nonlinearities. The graphs have the exquisite geometrical sensitivity required to tune wave function overlap in a way that optimizes the transition moments. We show that this class of graphs consistently produces intrinsic optical nonlinearities near the fundamental limits. We discuss the application of the models to the prediction and development of new nonlinear optical structures. |
| Databáze: | OpenAIRE |
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