arXiv subjects

M. A. Schmidt

Publications and source records attributed to M. A. Schmidt.

5 recordsLinked to original sources

arXiv2018

Analytical mode normalization and resonant state expansion for optical fibers - an efficient tool to model transverse disorder

We adapt the resonant state expansion to optical fibers such as capillary and photonic crystal fibers. As a key requirement of the resonant state expansion and any related perturbative approach, we derive the correct analytical normalization for all modes of these fiber structures, including leaky modes that radiate energy perpendicular to the direction of propagation and have fields that grow with distance from the fiber core. Based on the normalized fiber modes, an eigenvalue equation is derived that allows for calculating the influence of small and large perturbations such as structural disorder on the guiding properties. This is demonstrated for two test systems: a capillary fiber and an endlessly single mode fiber.

physics.optics↗

arXiv2015

An ion trap built with photonic crystal fibre technology

We demonstrate a surface-electrode ion trap fabricated using techniques transferred from the manufacture of photonic-crystal fibres. This provides a relatively straightforward route for realizing traps with an electrode structure on the 100 micron scale with high optical access. We demonstrate the basic functionality of the trap by cooling a single ion to the quantum ground state, allowing us to measure a heating rate from the ground state of 787(24) quanta/s. Variation of the fabrication procedure used here may provide access to traps in this geometry with trap scales between 100 um and 10 um.

physics.atom-ph↗

arXiv2014

Using thermal boundary conditions to engineer the quantum state of a bulk magnet

The degree of contact between a system and the external environment can alter dramatically its proclivity to quantum mechanical modes of relaxation. We show that controlling the thermal coupling of cubic centimeter-sized crystals of the Ising magnet $LiHo_xY_{1-x}F_4$ to a heat bath can be used to tune the system between a glassy state dominated by thermal excitations over energy barriers and a state with the hallmarks of a quantum spin liquid. Application of a magnetic field transverse to the Ising axis introduces both random magnetic fields and quantum fluctuations, which can retard and speed the annealing process, respectively, thereby providing a mechanism for continuous tuning between the destination states. The non-linear response of the system explicitly demonstrates quantum interference between internal and external relaxation pathways.

cond-mat.mes-hall↗

arXiv2010

Birefringence and dispersion of cylindrically polarized modes in nanobore photonic crystal fiber

We demonstrate experimentally and theoretically that a nanoscale hollow channel placed centrally in the solid glass core of a photonic crystal fiber strongly enhances the cylindrical birefringence (the modal index difference between radially and azimuthally polarized modes). Furthermore, it causes a large split in group velocity and group velocity dispersion. We show analytically that all three parameters can be varied over a wide range by tuning the diameters of the nanobore and the core.

physics.optics↗

arXiv2005

Flavor Symmetry L_mu - L_tau and quasi-degenerate Neutrinos

Current data implies three simple forms of the neutrino mass matrix, each corresponding to the conservation of a non-standard lepton charge. While models based on L_e and L_e - L_mu - L_tau are well-known, little attention has been paid to L_mu - L_tau. A low energy mass matrix conserving L_mu - L_tau implies quasi-degenerate light neutrinos. Moreover, it is mu-tau symmetric and therefore (in contrast to L_e and L_e - L_mu - L_tau) automatically predicts maximal atmospheric neutrino mixing and zero U_{e3}. A see-saw model based on L_mu - L_tau is investigated and testable predictions for the neutrino mixing observables are given. Renormalization group running below and in between the see-saw scales is taken into account in our analysis, both numerically and analytically.

hep-ph↗