An experimental test of the geodesic rule proposition for the noncyclic geometric phase
Autor: | Samuel Moukouri, Zhifan Zhou, Yigal Meir, Ron Folman, Yair Margalit |
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Jazyk: | angličtina |
Rok vydání: | 2020 |
Předmět: |
Geodesic
General relativity ComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISION 01 natural sciences 010309 optics Theoretical physics symbols.namesake Computer Science::Hardware Architecture 0103 physical sciences Physics::Atomic and Molecular Clusters Physics::Atomic Physics 010306 general physics Quantum Research Articles Physics Condensed Matter::Quantum Gases Multidisciplinary SciAdv r-articles Quantum technology Interferometry Geometric phase Bounded function symbols Hamiltonian (quantum mechanics) Research Article |
Zdroj: | Science Advances |
ISSN: | 2375-2548 |
Popis: | This paper describes geometric effects in the evolution of atoms through a double-slit type experiment on an atom chip. The geometric phase due to the evolution of the Hamiltonian is a central concept in quantum physics and may become advantageous for quantum technology. In noncyclic evolutions, a proposition relates the geometric phase to the area bounded by the phase-space trajectory and the shortest geodesic connecting its end points. The experimental demonstration of this geodesic rule proposition in different systems is of great interest, especially due to the potential use in quantum technology. Here, we report a previously unshown experimental confirmation of the geodesic rule for a noncyclic geometric phase by means of a spatial SU(2) matter-wave interferometer, demonstrating, with high precision, the predicted phase sign change and π jumps. We show the connection between our results and the Pancharatnam phase. Last, we point out that the geodesic rule may be applied to obtain the red shift in general relativity, enabling a new quantum tool to measure gravity. |
Databáze: | OpenAIRE |
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