TRR 358 - Integral structures in geometry and representation theory
Integral structures arise in many places throughout mathematics: as lattices in Euclidean space, as integral models of reductive groups and algebraic schemes, or as integral representations of groups and associative algebras. Even questions about the most basic example of an integral structure, the ring of integers Z, very soon lead into the fields ...
Duration: 01/2022 - 12/2026
Funded by: DFG
Model-based determination of nonlinear properties of piezoceramics for power ultrasound applications
Duration: 01/2022 - 12/2026
TRR 142 - Three-photon state generation with on-chip pump suppression in topological waveguides (A09*)
In this project, we experimentally and theoretically study a degenerate four-wave mixing source for the generation of three-photon states, where the photons are generated inside the topological mode and propagate away from the interaction region. The design using topological protected surface modes intrinsically provides a strong suppression of the ...
Duration: 01/2022 - 12/2025
Funded by: DFG
TRR 142 - Nonlinear strong-field dynamics of atomically thin transition metal dichalcogenides (A10)
Monolayers of Transition Metal Dichalcogenides (TMDCs) exhibit very high exciton binding energies of several hundred meV and extraordinarily strong optical nonlinearities. Stacking several monolayers allows one to tailor these properties by the choice of materials and their relative orientation. We will explore and manipulate such samples by using ...
Duration: 01/2022 - 12/2025
Funded by: DFG
TRR 142 - Ultrafast coherent opto-electronic control of a photonic quantum system (B06*)
In this project we will integrate semiconductor quantum dots in field-tunable microcavity heterostructures to achieve ultrafast coherent opto-electronic control of the emitter cavity coupling. By tuning different quantum dot transitions in and out of the cavity resonance we aim to generate (i) cavity assisted two-photon emission, (ii) hyper ...
Duration: 01/2022 - 12/2026
Funded by: DFG
TRR 142 - Polaron signatures in the optical response of lithium niobate (B07*)
This joint theory-experiment project will explore the rich physics of polarons and their optical signatures. In particular, we plan to resolve their influence on the linear and nonlinear optical properties of the material as well as their condensation, hopping and dissociation characteristics in interaction with intrinsic and extrinsic point ...
Duration: 01/2022 - 12/2025
Funded by: DFG
TRR 142 - Subcycle nonlinearities of ultrastrong light-matter coupling (B08*)
In this project we will investigate subcycle nonlinearities of highly narrowband THz cavity polaritons in the deep-strong light-matter coupling regime. Cyclotron and intersubband resonances of n-type modulation-doped GaAs/AlxGa1-xAs multi quantum wells fabricated by molecular beam epitaxy will be coupled to a novel generation of THz metal ...
Duration: 01/2022 - 12/2025
Funded by: DFG
TRR 142 - Quasi-bound states in the continuum for efficient second harmonic generation and spatial phase tailoring in GaAs metasurfaces (B09*)
In this project, we aim at exploiting highly efficient quasi-bound states in the continuum for optical modes in GaAs nanoresonators. The strong field confinement of these modes will be utilized to tailor the phase and emission patterns of light generated by nonlinear optical processes and to increase the efficiency of light-matter interaction in ...
Duration: 01/2022 - 12/2025
Funded by: DFG
TRR 142 - Cavity-enhanced spontaneous parametric down-conversion with temporal filtering using integrated superconducting detectors (C07*)
In this project, we will study the parametric down-conversion in a cavity with integrated superconducting detectors under cryogenic conditions. By using ultrafast driving electronics, we will implement pump filtering in the time domain, by enabling the integrated detector only after the pump has decayed away. The herald photon remains resonant with ...
Duration: 01/2022 - 12/2025
Funded by: DFG