Project Heads
Sven Burger, Stephan Reitzenstein
Project Members
Felix Binkowski
Project Duration
01.04.2022 − 31.03.2025
Located at
ZIB
The project aims at developing and employing numerical methods for simulation and optimization of coupled emitter – cavity systems, and to use these methods for designing systems of quantum dots coupled to integrated, high-Q microcavities for state engineering. Further, we aim at coupling efficiency enhancement for integrated, waveguide-coupled setups. A main goal is the investigation and development of contour-integral-based methods for eigensolvers and for resonance expansion, and their application to topical devices for photonic quantum technology. A schematics of a contour-integral-based resonance expansion is depicted in Fig. 1.
Research results of this project include the numerical optimization of fiber-coupled single-photon sources [1] and of photonic crystal cavities [2], a new method to compute eigenfrequency sensitivities [3], a method for resonance expansions of quadratic quantities [4], a method for the computation of poles and zeros and their sensitivities [5], the accurate and efficient numerical computation of eigenfrequency sensitivities near exceptional points [6] (see Fig. 2), and an approach for the rational approximation of photonic response functions with the AAA algorithm [7] (see Fig. 3). Further research results of this project include applications of the developed methods to systems of emitters and plasmonic and nanooptical resonators [8-15] and to state engineering of quantum gases [16].
Research data and software have been made available via open access data publications [17-25].
External Website
Related Publications
Related Pictures
Fig. 1. Schematics: Contour integrations in the complex frequency plane. The contours (dashed lines) encircling resonance frequencies (red crosses) allow to determine the corresponding modal fields. The outer contour (solid line) allows for evaluating the background contribution to the modal expansion of the field caused by the emitter at a real frequency.
Fig. 2. Combining contour integration and algorithmic differentiation yields eigenfrequency sensitivities near exceptional points. The sketch shows the electric field intensity near an exceptional point in a microdisk cavity.
Fig. 3. Rational approximation of the optical response of a metasurface. The approximation is based on sample points in the complex frequency plane and gives the poles, zeros, and residues of the underlying meromorphic function. The AAA algorithm can be used to compute the approximation.