Representation-free description of atom interferometers in time-dependent linear potentials
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Authors
Zimmermann, M.
Efremov, M.A.
Zeller, W.
Schleich, W.P.
Davis, J.P.
Narducci, F.A.
Subjects
Advisors
Date of Issue
2019
Date
2019
Publisher
IOP Publishing
Language
en_US
Abstract
In this article we present a new representation-free formalism, which can significantly simplify the analysis of interferometers comprised of atoms moving in time-dependent linear potentials. We present a methodology for the construction of two pairs of time-dependent functions that, once determined, lead to two conditions for the closing of the interferometer, and determine the phase and the contrast of the resultant interference. Using this new formalism, we explore the dependency of the interferometer phase on the interferometer time T for different atom interferometers. By now, it is well established that light pulse atom interferometers of the type first demonstrated by Kasevich and Chu (1991 Phys. Rev. Lett. 67, 181–4; 1992 Appl. Phys. B 54, 321–32), henceforth referred to as Mach– Zehnder (MZ) atom interferometers, have a phase scaling as T2. A few years ago, McDonald et al (2014 Europhys. Lett. 105, 63001) have experimentally demonstrated a novel type of atom interferometer, referred to as the continuous-acceleration bloch (CAB) interferometer, where the phase reveals a mixed scaling which is governed by a combination of T2 and T3. Moreover, we have recently proposed a different type of atom interferometer (Zimmermann et al 2017 Appl. Phys. B 123, 102), referred to as the T3-interferometer, which has a pure T3 scaling, as demonstrated theoretically. Finally, we conclude that the CAB interferometer can be shown to be a hybrid of the standard MZ interferometer and the T3-interferometer.
Type
Article
Description
The article of record as published may be found at https://doi.org/10.1088/1367-2630/ab2e8c
Series/Report No
Department
Physics
Organization
Naval Postgraduate School
Identifiers
NPS Report Number
Sponsors
Funder
Format
28 p.
Citation
Zimmermann, Matthias, et al. "Representation-free description of atom interferometers in time-dependent linear potentials." New Journal of Physics 21.7 (2019): 073031.
Distribution Statement
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.