In this paper we study an SU(5) × A 5 flavour model which exhibits a neutrino mass sum rule and golden ratio mixing in the neutrino sector which is corrected from the charged lepton Yukawa couplings. We give the full renormalisable superpotential for the model which breaks SU(5) and A 5 after integrating out heavy messenger fields and minimising the scalar potential. The mass sum rule allows for both mass orderings but we will show that inverted ordering is not valid in this setup. For normal ordering we find the lightest neutrino to have a mass of about 10-50 meV, and all leptonic mixing angles in agreement with experiment. Parameter best-fit (±1σ) 3σ range θ PMNS 12 in • 33.48 +0.77 −0.74 31.30 → 35.90 θ PMNS 13 in • 8.52 +0.20 −0.21 7.87 → 9.11 θ PMNS 23 in • 42.2 +0.1 −0.1 ⊕ 49.4 +1.6 −2.0 38.4 → 53.3 δ PMNS in • 251 +67 −59 0 → 360 ∆m 2 21 in 10 −5 eV 2 7.50 +0.19 −0.17 7.03 → 8.09 ∆m 2 31 in 10 −3 eV 2 (NH) 2.458 +0.002 −0.002 2.325 → 2.599 ∆m 2 32 in 10 −3 eV 2 (IH) −2.448 +0.047 −0.047 −2.590 → −2.307Table 1: The best-fit values and the 3σ ranges for the parameters taken from [8]. There are two minima for θ PMNS 23. The first one corresponds to the normal hierarchy whereas the second one corresponds to the inverted hierarchy.

We present, for the first time, the quantum mechanical description of light-matter interaction in the presence of optical cavities that are characterized by radiative losses. Unique to radiative losses is the unitary evolution and their full preservation of the coherence, in stark contrast to the usually considered dissipative losses. We elucidate the reduction of exact quantum electrodynamic equations to a form similar to the familiar Jaynes-Cummings model through the introduction and study of a new class of noise operators. The dynamics of this henceforth inherently dissipative model are then presented by formulating the resulting equations of motion. Furthermore, an inputoutput formalism is established, which provides a direct connection to the dynamics of output states accessible with detectors. The application-oriented cases of coherent and pulsed laser pumping are discussed as inputs. Finally the single-photon dynamics in an optical cavity with significant radiative loss -whose importance has to be contextualized in view of the prospects of light-matter interaction applications -are reviewed according to the proposed model. The formulation is kept as general as possible to emphasise the universal applicability to different implementations of quantum optical systems but from our own background we have an application in mind in the context of nanooptics.

We propose a novel scheme to normalize scattering modes of the electromagnetic field. By relying on analytical solutions for Maxwell's equations in the homogenous medium outside the scatterer, we derive normalization conditions that only depend on the electromagnetic field on the surface of a sphere containing the scatterer. We pay special attention to the important cases of plane wave illumination and illumination with a multipolar field, for which an explicit and easy to use normalization condition is derived. We demonstrate the versatility of our method by normalizing scattering modes of some selected metallic and dielectric scatterers of different geometries in the context of different application scenarios. Since every quantum mechanical treatment of light-matter interaction requires the proper normalization of electromagnetic fields, we deem our proposed normalization scheme broadly applicable independent of the scatterer involved.

This paper presents an application of the hardware-inthe-loop-method to a building energy and control system. We focus on investigating the interaction of a real circulating pump with the hydronic network of a virtual building energy and control system. For real-time simulation the building envelope is modelled using the Modelica-based library AixLib. With the presented setup model-based designed control algorithms are tested directly on real hardware. The performance of the presented and implemented setup is evaluated by comparing simulated results with experimental hardware-in-the-loopsimulation data. The main focus of this work is to evaluate the application of the method towards bridging the gap between model-based design and commissioning of energy efficient control for heating ventilation and air conditioning (HVAC) components.Hardware-in-the-loop-(HIL-) simulation is a method to bridge the gap between simulation and real hardware

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