Jörg Main
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Wave functions and oscillator strengths of Rydberg excitons in cuprous oxide quantum wells Open
We investigate the eigenstates, that is, the wavefunctions of Rydberg excitons in cuprous oxide quantum wells and derive expressions relating them to the oscillator strengths of different exciton states. Using the B-spline expansion, we co…
Bound states in the continuum in cuprous oxide quantum wells Open
We propose a realistic semiconductor system containing bound states in the continuum (BICs) which allows for a practical realization. By varying the confinement strength of excitons in cuprous oxide quantum wells, we show that long-lived R…
Rydberg excitons in cuprous oxide: A two-particle system with classical chaos Open
When an electron in a semiconductor gets excited to the conduction band, the missing electron can be viewed as a positively charged particle, the hole. Due to the Coulomb interaction, electrons and holes can form a hydrogen-like bound stat…
Classical dynamics and semiclassical analysis of excitons in cuprous oxide Open
Excitons, as bound states of electrons and holes, embody the solid state analogue of the hydrogen atom, whose quantum spectrum is explained within a classical framework by the Bohr-Sommerfeld atomic model. In a first hydrogenlike approxima…
Gaussian-process-regression-based method for the localization of exceptional points in complex resonance spectra Open
Resonances in open quantum systems depending on at least two controllable parameters can show the phenomenon of exceptional points (EPs), where not only the eigenvalues but also the eigenvectors of two or more resonances coalesce. Their ex…
Energy states of Rydberg excitons in finite crystals: From weak to strong confinement Open
Due to quantum confinement, excitons in finite-sized crystals behave rather differently than in bulk materials. We investigate the dependence of energies of Rydberg excitons on the strengths of parabolic as well as rectangular confinement …
Signatures of exciton orbits in quantum mechanical recurrence spectra of Cu$_2$O Open
The seminal work by T. Kazimierczuk et al. [Nature 514, 343 (2014)] has shown the existence of highly excited exciton states in a regime, where the correspondence principle is applicable and quantum mechanics turns into classical mechanics…
View article: Mean first-passage times for solvated LiCN isomerization at intermediate to high temperatures
Mean first-passage times for solvated LiCN isomerization at intermediate to high temperatures Open
The behavior of a particle in a solvent has been framed using stochastic dynamics since the early theory of Kramers. A particle in a chemical reaction reacts slower in a diluted solvent because of the lack of energy transfer via collisions…
Analysis of the Fine Structure of the <i>D</i>‐Exciton Shell in Cuprous Oxide Open
The exciton states in cuprous oxide show a pronounced fine structure splitting associated with the crystal environment and the resulting electronic band structure. High‐resolution spectroscopy reveals an especially pronounced splitting of …
Interseries dipole transitions from yellow to green excitons in cuprous oxide Open
We study dipole interseries transitions between the yellow and green exciton\nseries in cuprous oxide including the complex valence band structure. To this\nend, we extend previous studies of the spectrum of complex green exciton\nresonanc…
Exchange interaction in the yellow exciton series of cuprous oxide Open
We experimentally and numerically investigate the exchange interaction of the yellow excitons in cuprous oxide. By varying the material parameters in the numerical calculations, we can interpret experimental findings and understand their o…
Dynamics and decay rates of a time-dependent two-saddle system Open
The framework of transition state theory (TST) provides a powerful way for analyzing the dynamics of physical and chemical reactions. While TST has already been successfully used to obtain reaction rates for systems with a single time-depe…
Thermal decay rates of an activated complex in a driven model chemical reaction Open
Recent work has shown that in a nonthermal, multidimensional system, the trajectories in the activated complex possess different instantaneous and time-averaged reactant decay rates. Under dissipative dynamics, it is known that these traje…
Dynamics and Bifurcations on the Normally Hyperbolic InvariantManifold of a Periodically Driven System with Rank-1 Saddle Open
In chemical reactions, trajectories typically turn from reactants to products\nwhen crossing a dividing surface close to the normally hyperbolic invariant\nmanifold (NHIM) given by the intersection of the stable and unstable manifolds\nof …
Influence of external driving on decays in the geometry of the LiCN isomerization Open
The framework of transition state theory relies on the determination of a geometric structure identifying reactivity. It replaces the laborious exercise of following many trajectories for a long time to provide chemical reaction rates and …
Classical and semiclassical description of Rydberg excitons in cuprous oxide Open
Experimental and theoretical investigations of excitons in cuprous oxide have\nrevealed a significant fine-structure splitting of the excitonic Rydberg states\ncaused by a strong impact of the valence band structure. We provide a\nsemiclas…
Second harmonic generation of cuprous oxide in magnetic fields Open
Recently Second Harmonic Generation (SHG) for the yellow exciton series in cuprous oxide has been demonstrated [J. Mund et al., Phys. Rev. B 98, 085203 (2018)]. Assuming perfect $O_{\mathrm{h}}$ symmetry, SHG is forbidden along certain hig…
Green exciton series in cuprous oxide Open
We numerically investigate the odd parity states of the green exciton series\nin cuprous oxide. Taking into account the coupling to the yellow series and\nespecially to the yellow continuum, the green excitons are quasi-bound\nresonances w…
Neural network approach for the dynamics on the normally hyperbolic invariant manifold of periodically driven systems Open
Chemical reactions in multidimensional systems are often described by a rank-1 saddle, whose stable and unstable manifolds intersect in the normally hyperbolic invariant manifold (NHIM). Trajectories started on the NHIM in principle never …
Balanced gain and loss in spatially extended non--symmetric multiwell potentials Open
The experimental realization of balanced gain and loss in a quantum system\nhas been a long standing goal in quantum mechanics since the introduction of\nthe concept of $\\mathcal{PT}$ symmetry and has only recently been achieved. In\nthis…
Real eigenvalues in symmetrised multi-well potentials with gain and loss Open
Balanced gain and loss leads to stationary dynamics in open systems. This occurs naturally in $\mathcal{PT}$-symmetric systems, where the imaginary part of the potential describing gain and loss is perfectly antisymmetric. While this case …
Invariant Manifolds and Rate Constants in Driven Chemical Reactions Open
Reaction rates of chemical reactions under nonequilibrium conditions can be determined through the construction of the normally hyperbolic invariant manifold (NHIM) [and moving dividing surface (DS)] associated with the transition state tr…
Binary contraction method for the construction of time-dependent dividing surfaces in driven chemical reactions Open
Transition state theory formally provides a simplifying approach for determining chemical reaction rates and pathways. Given an underlying potential energy surface for a reactive system, one can determine the dividing surface in phase spac…
Magneto-Stark effect of yellow excitons in cuprous oxide Open
We investigate and compare experimental and numerical excitonic spectra of the yellow series in cuprous oxide Cu$_2$O in the Voigt configuration and thus partially extend the results from Schweiner et al. [Phys. Rev. B 95, 035202 (2017)], …