Interference of matter waves: branch-dependent dynamics, the Kennard phase, and T³ Stern-Gerlach interferometry
RefereeSchleich, Wolfgang P.
FacultiesFakultät für Naturwissenschaften
InstitutionsInstitut für Quantenphysik
A substantial part of this thesis consolidates, summarizes, and deepens the theoretical work that has led to the recent observations of the Kennard phase and the construction of a novel T³ Stern-Gerlach interferometer for matter waves. Our novel device is sensitive to a linear potential as originating from the gravitational field. In comparison to existing atom interferometers, it displays a faster scaling of the interferometer phase with regard to the interferometer time T. The resulting cubic dependence originates from the Kennard phase and benefits from employing state-dependent forces that are induced by magnetic field gradients. In addition, several parts of this thesis exceed this particular topic. By developing a general and easily applicable formalism based on branch-dependent dynamics, we simplify, unify, and generalize the description of matter-wave interferometers. Within our approach, we compare and contrast classical and quantum concepts from a fundamental perspective while concentrating on the contrast and phase shift of matter-wave interferometers. Based on our formalism, we propose schematic rules which enable a straightforward analysis of a given interferometer geometry in the presence of state- and time-dependent forces. With the help of these rules, we pursue the classification of existing and the construction of novel interferometer geometries that display a sensitivity to particular aspects of spatially and temporally varying external fields. Our method is supported by several examples of novel interferometers which still await an experimental implementation.
Subject headings[GND]: Quantenmechanik | Interferenz
[LCSH]: Quantum theory | Atom interferometry
[Free subject headings]: Quantum mechanics | Interference | Matter waves | Linear potential | Kennard phase | Stern-Gerlach effect
[DDC subject group]: DDC 530 / Physics
LicenseLizenz B (ohne Print-on-Demand)
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DOI & citation
Please use this identifier to cite or link to this item: http://dx.doi.org/10.18725/OPARU-39705