Rostock 2019 – wissenschaftliches Programm
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Q: Fachverband Quantenoptik und Photonik
Q 54: Precision Measurements and Metrology III
Q 54.4: Vortrag
Donnerstag, 14. März 2019, 15:00–15:15, S SR 111 Maschb.
Frequency spectrum of an optical resonator in a curved spacetime — •Dennis Rätzel1, Fabienne Schneiter2, Daniel Braun2, Tupac Bravo3, Richard Howl4, Maximilian P E Lock3, and Ivette Fuentes4 — 1Institut für Physik, Humboldt-Universität zu Berlin, 12489 Berlin, Germany — 2Institut für Theoretische Physik, Eberhard-Karls-Universität Tübingen, D-72076 Tübingen, Germany — 3Faculty of Physics, University of Vienna, Boltzmanngasse 5, A-1090 Vienna, Austria — 4School of Mathematical Sciences, University of Nottingham, University Park, Nottingham NG7 2RD, United Kingdom
There is an ever growing number of proposals for high precision experiments to measure gravitational effects. In particular, more and more researchers from the fields of quantum optics and quantum opto-mechanics are becoming interested in GR and propose metrological experiments. Usually, such proposals rely heavily on a notion of length. However, in GR, as coordinates have no physical meaning, there is no unique concept for the length of a matter system.
In this talk, the conceptual problem of length is addressed for a subset of experimental proposals. In particular, the effect of gravitational fields and acceleration on the frequency spectrum of an optical resonator is discussed in the framework of GR. The optical resonator is modeled as a deformable rod of matter connecting two mirrors. Explicit expressions for the frequency spectrum are given for the case of a small perturbation. As example situations, uniform acceleration and geodesic motion in the gravitational field of the earth are discussed.