Optical Properties of Rydberg Excitons and Polaritons

Abstract

We show how to compute the optical functions when Rydberg Excitons appear, including the effect of the coherence between the electron-hole pair and the electromagnetic field. We use the Real Density Matrix Approach (RDMA), which, combined with Green's function method, enables one to derive analytical expressions for the optical functions. Choosing the susceptibility, we performed numerical calculations appropriate to a Cu${}_2$0 crystal. The effect of the coherence is displayed in the line shape. We also examine in details and explain the dependence of the oscillator strength and the resonance placement on the state number. We report a good agreement with recently published experimental data.

16 pages, 5 figures, submitted to PRB

References in corpus (4)

• Giant Rydberg Excitons in Cuprous Oxide
• Exciton mapping at subwavelength scales in two-dimensional materials
• Observation of high angular momentum excitons in cuprous oxide
• Linewidths in excitonic absorption spectra of cuprous oxide

Cited by in corpus (23)

• Scaling laws of Rydberg excitons
• Impact of the valence band structure of Cu${}_2$O on excitonic spectra
• The even exciton series in Cu${}_2$O
• Interaction of Rydberg Excitons in Cuprous Oxide with Phonons and Photons: Optical Linewidth and Polariton Effect
• Magnetoexcitons in cuprous oxide
• Electrooptical Properties of Rydberg Excitons
• Magnetooptical Properties of Rydberg Excitons - Center-of-Mass Quantization Approach
• Magnetoexcitons break antiunitary symmetries
• GOE-GUE-Poisson transitions in the nearest neighbor spacing distribution of magnetoexcitons
• Electromagnetically induced transparency with Cu${}_2$O excitons in the presence of phonon coupling
• Quantum confined Rydberg excitons in Cu${}_2$O nanoparticles
• Nonlinear Optical Properties and Self-Kerr Effect of Rydberg Excitons in Cu${}_2$O
• Exciton-polaritons in cuprous oxide: Theory and comparison with experiment
• Topological spin phases of trapped Rydberg excitons in Cu${}_2$O
• Electro-optical properties of Cu${}_2$O in the regime of Franz-Keldysh oscillations
• Excitons in Cu2O -- from Quantum Wells to Bulk Crystals and Additional Boundary Conditions for Rydberg Exciton-Polaritons
• $K$ dependent exchange interaction of the $1S$ ortho exciton in Cu${}_2$O
• Temperature Study of Rydberg Exciton Optical Properties in Cu2O
• Crossover between the Gaussian orthogonal ensemble, the Gaussian unitary ensemble, and Poissonian statistics
• Copper plasmonics with excitons
• Rydberg Magnetoexcitons in Cu${}_2$O Quantum Wells
• Exciton-phonon interaction breaking all antiunitary symmetries in external magnetic fields
• Nonlinear optical properties and Kerr nonlinearity of Rydberg excitons in Cu${}_2$O quantum wells