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PT3 - Experimental Gravitation

Speaker

Raetzel, Dennis

Coauthors

Fabienne Schneiter, Daniel Braun, Tupac Bravo, Richard Howl, Maximilian P.E. Lock, Ivette Fuentes

Talk Title

Frequency spectrum of an optical resonator in a curved spacetime

Abstract

There is an ever growing number of proposals for high precision experiments to measure gravitational effects, from simple Newtonian gravity to gravitational waves and even precision tests of general relativity (GR). 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. Example situations are discussed and a connection is obtained to a relativistic concept of rigidity.

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