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Rydberg excitons are the solid-state analog of Rydberg atoms and can, e.g., for cuprous oxide, easily reach a large size in the region of $\mu$m for principal quantum numbers up to $n=25$. The fabrication of quantum well-like structures in…

Mesoscale and Nanoscale Physics · Physics 2024-04-29 Niklas Scheuler , Patric Rommel , Jörg Main , Pavel A. Belov

The complex valence band structure of bulk cuprous oxide necessitates going beyond the parabolic approximation to precisely estimate exciton binding energies. The same is true for excitons in cuprous oxide quantum wells, for which many…

Mesoscale and Nanoscale Physics · Physics 2026-03-13 Niklas Scheuler , Jörg Main , Patric Rommel , Frieder Pfeiffer , Stefan Scheel , Pavel A. Belov

We present theoretical results of the calculations of optical functions for Cu$_2$O quantum well (QW) with Rydberg excitons in an external homogeneous electric field of an arbitrary field strength. Two configurations of an external electric…

Mesoscale and Nanoscale Physics · Physics 2021-09-01 David Ziemkiewicz , Gerard Czajkowski , Karol Karpiński , Sylwia Zielińska - Raczyńska

Excitons, i.e. the bound states of an electron and a positively charged hole are the solid state analogue of the hydrogen atom. As such they exhibit a Rydberg series, which in cuprous oxide has been observed up to high principal quantum…

Mesoscale and Nanoscale Physics · Physics 2025-11-18 Jan Ertl , Patric Rommel , Jörg Main

We present theoretically calculated optical functions for Cu$_2$O quantum well (QW) with Rydberg excitons in an external, homogeneous electric field parallel to the QW planes for the energy region above the gap, suitable to observe the…

Mesoscale and Nanoscale Physics · Physics 2021-09-01 David Ziemkiewicz , Gerard Czajkowski , Karol Karpiński , Sylwia Zielińska - Raczyńska

The ability to generate and control strong long-range interactions via highly excited electronic states has been the foundation for recent breakthroughs in a host of areas, from atomic and molecular physics [1, 2] to quantum optics [3, 4]…

Mesoscale and Nanoscale Physics · Physics 2021-07-14 Julian Heckötter , Valentin Walther , Stefan Scheel , Manfred Bayer , Thomas Pohl , Marc Aßmann

Experimental and theoretical investigations of excitons in cuprous oxide have revealed a significant fine-structure splitting of the excitonic Rydberg states caused by a strong impact of the valence band structure. We provide a…

Mesoscale and Nanoscale Physics · Physics 2020-06-23 Jan Ertl , Patric Rommel , Michel Mom , Jörg Main , Manfred Bayer

The quantum confiment of Rydberg excitons (REs) in quantum structures opens the way towards considering nonlinear interactions in such systems. We present a theoretical calculation of optical functions in the case of a nonlinear coupling…

Mesoscale and Nanoscale Physics · Physics 2022-09-14 David Ziemkiewicz , Gerard Czajkowski , Karol Karpiński , Sylwia Zielińska-Raczyńska

The complete theoretical description of experimentally observed magnetoexcitons in cuprous oxide has been achieved by F. Schweiner et al [Phys. Rev. B 95, 035202 (2017)], using a complete basis set and taking into account the valence band…

Materials Science · Physics 2020-02-10 Patrik Zielinski , Patric Rommel , Frank Schweiner , Jörg Main

We introduce a computationally efficient approach to calculating the characteristics of excitons in quantum wells. In this approach we derive a system of self-consistent equations describing the motion of an electron-hole pair. The motion…

Strongly Correlated Electrons · Physics 2009-01-09 I. V. Ponomarev , L. I. Deych , A. A. Lisyansky

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…

Mesoscale and Nanoscale Physics · Physics 2024-04-17 Jan Ertl , Michael Marquardt , Moritz Schumacher , Patric Rommel , Jörg Main , Manfred Bayer

High-lying Rydberg states of Mott-Wannier excitons are receiving considerable interest due to the possibility of adding long-range interactions to the physics of exciton-polaritons. Here, we study Rydberg excitation in bulk synthetic…

Highly-excited states of excitons in cuprous oxide have recently been observed at a record quantum number of up to $n=25$. Here, we evaluate the long-range interactions between pairs of Rydberg excitons in Cu$_2$O, which are due to direct…

Quantum Gases · Physics 2018-10-17 Valentin Walther , Sjard Ole Krüger , Stefan Scheel , Thomas Pohl

We present theoretical approach that allows for calculation of optical functions for Cu$_2$O Quantum Well (QW) with Rydberg excitons in an external magnetic field of an arbitrary field strength. Both Faraday and Voigt configurations are…

Mesoscale and Nanoscale Physics · Physics 2021-01-27 David Ziemkiewicz , Gerard Czajkowski , Karol Karpiński , Sylwia Zielińska-Raczyńska

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…

Mesoscale and Nanoscale Physics · Physics 2025-03-14 Angelos Aslanidis , Jörg Main , Patric Rommel , Stefan Scheel , Pavel A. Belov

We investigate quantum many-body effects on Rydberg excitons in cuprous oxide induced by the surrounding electron-hole plasma. Line shifts and widths are calculated by full diagonalisation of the plasma Hamiltonian and compared to results…

Quantum Gases · Physics 2021-08-23 Dirk Semkat , Holger Fehske , Heinrich Stolz

We report exciton-mediated coupling between microwave and optical fields in cuprous oxide (Cu$_2$O) at low temperatures. Rydberg excitonic states with principal quantum number up to $n=12$ were observed at 4~K using both one-photon…

Hosting giant Rydberg excitons with principal quantum numbers up to n = 30, cuprous oxide (Cu2O) provides a rare solid-state setting for exploring Rydberg physics, as exemplified by the blockade effect. Here we access the strongly…

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,…

Mesoscale and Nanoscale Physics · Physics 2022-08-05 Jan Ertl , Michael Marquardt , Moritz Schumacher , Patric Rommel , Jörg Main , Manfred Bayer

The binding energy and the corresponding wave function of excitons in GaAs-based finite square quantum wells (QWs) are calculated by the direct numerical solution of the three-dimensional Schroedinger equation. The precise results for the…

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