Jens P. Oppermann

An SU(5)×A5 golden ratio flavour model

Abstract 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.

An SU(5) x A5 Golden Ratio Flavour Model

Abstract 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.

Quantum Description of Radiative Decay in Optical Cavities

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 input- output 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.

Hybridizing whispering gallery modes and plasmonic resonances in a photonic metadevice for biosensing applications [Invited]

Measuring the shift in the resonance wavelength of a high-Q dielectric whispering gallery mode resonator in the presence of a modified dielectric environment is a prime sensing strategy. To improve the sensitivity, means have to be identified that push the mode profile outside the resonator to enhance its interaction with the environment. Here, we study theoretically and numerically a photonic metadevice consisting of gold nanoparticles at a high concentration deposited on top of a microdisk resonator. Careful spectral tuning of the plasmonic resonance relative to the whispering gallery mode increases the sensitivity to a notable extent at an acceptable simultaneous decrease of the quality factor. Contrary to comparable approaches that rely on thin metallic films, which require in their fabrication an unprecedented precision, our metamaterial-inspired approach is robust against fabrication imperfection as the only critical parameter is the nanoparticle density.

A normalization approach for scattering modes to be of use in classical and quantum electrodynamics

We propose a novel scheme to normalize scattering modes of the electromagnetic field. By relying on analytical solutions for Maxwells 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.

AnSU(5)×A5golden ratio flavour model

Abstract 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.

An SU(5)×A5SU(5)×A5 golden ratio flavour model

Abstract 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.

An SU(5)

Abstract 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.