Freiburg 2024 – scientific programme
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A: Fachverband Atomphysik
A 31: Atomic Systems in External Fields II
A 31.3: Talk
Thursday, March 14, 2024, 15:00–15:15, HS 1015
A Gravitational Analogon of the Metrological Triangle — •Sebastian Ulbricht1,2 and Claus Lämmerzahl3 — 1Physikalisch-Technische Bundesanstalt PTB, Braunschweig, Germany — 2Technische Universität Braunschweig, Braunschweig, Germany — 3Center of Applied Space Technology and Microgravity ZARM, University of Bremen, Bremen, Germany
Before the 2019 revision of SI, the quantum metrological triangle provided a tremendously precise measurement scheme for the electron charge e and the Planck constant h based on the Josephson effect, the quantum Hall effect, and the counting of single electrons. Now, after the SI-redefinition, this triangle is used to realize electric standards and offers substantial options for consistency checks, testing our understanding of the electromagnetic interaction of quantum particles. In this talk, we consider a gravitational analogue of the quantum metrological triangle, giving rise to analoga of the Josephson effect and the quantum Hall effect for neutral quantum particles in a gravitational field. This parallels between electromagnetic and gravitational interaction can be drawn, since the weak field limit of General Relativity resembles the mathematical structure of electrodynamics. The gravitational metrological triangle provides a testing field for our understanding of quantum systems in gravity. We in particular discuss its feasibility for quantum tests of the Weak Equivalence Principle and tests of the universality of quantum mechanics.
Keywords: Metrological Triangle; Josephson Effect; Quantum Hall Effect; Experiments in Gravity; General Relativity