Nonlinear Optical Properties and Self-Kerr Effect of Rydberg Excitons in Cu${}_2$O

Abstract

We show how to compute the nonlinear optical functions (absorption, reflection, and transmission) for a medium with Rydberg excitons, including the effect of the coherence between the electron-hole pair and the electromagnetic field. Using the Real Density Matrix Approach the analytical expressions for nonlinear optical functions are obtained and numerical calculations for Cu${}_2$0 crystal are performed. We report a good agreement with recently published experimental data. Propagation of the electromagnetic waves in Rydberg excitons media with nonliner effect is also discussed and the possibility of obtainig self-phase modulation due to Kerr nonlinearity is investigated.

arXiv comment8 pages, 6 figures

References in corpus (8)

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• Rydberg excitons in the presence of an ultralow-density electron-hole plasma
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• Optical Properties of Rydberg Excitons and Polaritons
• Magnetooptical Properties of Rydberg Excitons - Center-of-Mass Quantization Approach
• Two-photon self-Kerr nonlinearities for quantum computing and quantum optics
• Electro-optical properties of Cu${}_2$O in the regime of Franz-Keldysh oscillations

Cited by in corpus (7)

• Rydberg Excitons in Synthetic Cuprous Oxide (Cu${}_2$O)
• Quantum confined Rydberg excitons in Cu${}_2$O nanoparticles
• Excitons in Cu2O -- from Quantum Wells to Bulk Crystals and Additional Boundary Conditions for Rydberg Exciton-Polaritons
• Nonclassical Light from Exciton Interactions in a Two-Dimensional Quantum Mirror
• Electro-optical properties of excitons in Cu${}_2$O quantum wells: I discrete states
• Nonlinear effects on the dynamics of quantum harmonic modes coupled through angular momentum
• Nonlinear optical properties and Kerr nonlinearity of Rydberg excitons in Cu${}_2$O quantum wells