Erlangen 2022 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 22: Precision Measurements and Metrology I (joint session Q/A)
Q 22.14: Poster
Tuesday, March 15, 2022, 16:30–18:30, P
Systematic Approach To Phaseshifts of Matter Wave Interferometers in Weekly Curved Spacetimes — •Michael Werner and Klemens Hammerer — Institut für theoretische Physik, Leibniz Universität Hannover, Germany
We present a systematic approach to calculate all relativistic phase-shift effects in matter wave interferometer (MWI) experiments up to (and including) order c−2, placed in a weak gravitational field. The whole analysis is derived from first principles and even admits test of General Relativity (GR) apart from the usual Einstein Equivalence Principle (EEP) tests, consisting of universality of free fall (UFF) and local position invariance (LPI) deviations, by using the more general ’parametrized post-Newtonian’ (PPN) formalism. We collect general phase-shift formulas for a variety of well-known MWI schemes and calculate how modern experimental setups could measure PPN induced deviations from GR without the use of macroscopic test masses. This procedure should be seen as a way to easily calculate certain phase contributions, without having to redo all relativistic calculations in new MWI setups.