We show how to compute the electro-optical functions (absorption, reflection, and transmission) when Rydberg exciton-polaritons appear, including effect of coherence between electron-hole pair electromagnetic field. With use real density matrix approach, numerical calculations applied for ${\mathrm{Cu}}_{2}\mathrm{O}$ crystal are performed. also examine in detail explain dependence resonance displacement on state number electric field strength. report a fairly good agreement with recently...

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

We show how to compute the magneto-optical functions (absorption, reflection, and transmission) when Rydberg exciton polaritons appear, including effect of coherence between electron-hole pair electromagnetic field, polaritonic effect. Using real density-matrix approach analytical expressions for are obtained numerical calculations ${\mathrm{Cu}}_{2}\mathrm{O}$ crystal performed. The influence strength applied external magnetic field on resonance displacement excitonic spectra is discussed....

We investigate the nonlinear refraction induced by Rydberg excitons in Cu_{2}O. Using a high-precision interferometry imaging technique that spatially resolves phase shift, we observe significant shifts at extremely low laser intensity near each exciton resonance. From this, derive index n_{2}, present n_{2} spectrum for principal quantum numbers n≥5, and report large values of order 10^{-3} mm^{2}/mW. Moreover, rapid saturation Kerr nonlinearity find I_{sat} decreases as n^{-7}. explain...

We present the analytical method enables one to compute optical functions i.e., reflectivity, transmission and absorption including excitonic effects for a semiconductor crystal exposed uniform electric field energy region above gap, external suitable appearance of Franz-Keldysh (FK) oscillations. Our approach intrinsically takes into account coherence between carriers electromagnetic field. quantitatively describe amplitudes periodicity FK modulations influence Rydberg excitons on effect is...

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

Two-photon absorption in indirect gap semiconductors is an frequently encountered, but not well-understood phenomenon. To address this, the Real Density Matrix Approach applied to describe two-photon silicon through excitonic response interacting fields. This approach produces analytical expression for dispersion of coefficient indirect-gap materials, and can be used explain trends reported experimental data bulk both old new with minimal fitting.

We present a method to compute the optical functions of superlattices in excitonic energy region including effect coherence between electron-hole pair and electromagnetic field. The screened Coulomb potential is adopted valence-band structure taken into account cylindrical approximation, thus separating light- heavy-hole motions. calculated have poles correspondence polariton eigenvalues for multiplicity states. also calculate amplitudes higher branches line shapes functions. Numerical...

Abstract Recent experimental and theoretical work on hydrogen-like absorption spectra of excitons in external magnetic fields revealed new effects when the Coulomb interaction becomes comparable to perturbation. We present a approach that allows for calculation any value field. This opens possibility compute optical functions i.e. reflectivity, transmission including excitonic various strength

We propose schemes for calculation of optical functions a semiconductor with Rydberg excitons wide interval dimensions. have started zero-dimensional structure (quantum dot), then going to one-dimensional wire), two-dimensional wells and quantum wells), finally three-dimensional bulk crystals; our analytical findings are illustrated numerically, showing an agreement available experimental data. Calculations including exciton-polaritons performed; the case large number polariton branches is...

It is shown how bilocal exciton-polariton theory in configuration space does explain the deviations exciton reflection spectra from classical oscillator lineshape. Apart a numerical matrix inversion calculations are performed by analytical methods. Comparison with experimental for CdS and GaAs leads to very good agreement.

We show how to compute the optical functions of wide parabolic quantum wells (WPQWs) exposed uniform electric F applied in growth direction, excitonic energy region. The effect coherence between electron-hole pair and electromagnetic field propagating wave including screened Coulomb potential is adopted, valence band structure taken into account cylindrical approximation. role interaction field, which mix states according different numbers create symmetry forbidden transitions, stressed. use...

We present a theoretical approach that allows for calculation of optical functions ${\mathrm{Cu}}_{2}\mathrm{O}$ quantum well (QW) with Rydberg excitons, in an external magnetic field arbitrary strength. Both Faraday and Voigt configurations are considered the energetic region $p$ excitons. use real density matrix effective electron-hole potential, which enable us to derive analytical expressions QW magneto-optical functions. For both configurations, all three regimes---weak, intermediate,...

Abstract The real‐space properties of the transition dipole matrix elements in semiconductors are studied theoretically. results expressed terms conventional band edge characteristics (such as momentum element and structure) used coherent wave approach developed recently by Stahl. Simple isotropic bands lead to a behaviour density described spherical evanescent wave. Anisotropic extrema saddle points also studied.

We show how to compute the optical functions (reflectivity, transmissivity, and absorption) for semiconductor superlattices exposed a uniform electric field in growth direction, including excitonic effects. The strength is chosen be small enough avoid Stark localization but strong observe Franz-Keldysh (FK) oscillations. For of total thicknesses large compared exciton Bohr radius, polaritonic effects are taken into account. values applied spectra ``excitonlike'' with transition energy...

Abstract An accurate study of the optical properties GaAs thin layers in excitonic absorption region, obtained with a real‐space density‐matrix approach adapted to case films degenerate valence bands is reported. The computed polarization decreases gradually zero near surfaces transition layer whose thickness increasing photon energy. oscillatory behaviour reflectivity well reproduced and can be interpreted terms polaritonic effects by relating dispersion propagating modes calculated...

We present theoretical results of the calculations optical functions for Cu$_2$O quantum well (QW) with Rydberg excitons in an external homogeneous electric field arbitrary strength. Two configurations perpendicular and parallel to QW planes are considered energetic region discrete excitonic states continuum states. With help real density matrix approach, which enables derivation analytical expressions electro-optical functions, absorption spectra calculated case excitation energy below gap energy.