Representation-free description of atom interferometers in time-dependent linear potentials
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...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2019-01-01
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| Series: | New Journal of Physics |
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| Online Access: | https://doi.org/10.1088/1367-2630/ab2e8c |
| _version_ | 1827872708564615168 |
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| author | M Zimmermann M A Efremov W Zeller W P Schleich J P Davis F A Narducci |
| author_facet | M Zimmermann M A Efremov W Zeller W P Schleich J P Davis F A Narducci |
| author_sort | M Zimmermann |
| collection | DOAJ |
| description | 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 T ^2 . 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 T ^2 and T ^3 . Moreover, we have recently proposed a different type of atom interferometer (Zimmermann et al 2017 Appl. Phys. B 123 , 102), referred to as the T ^3 -interferometer, which has a pure T ^3 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 T ^3 -interferometer. |
| first_indexed | 2024-03-12T16:27:41Z |
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| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:27:41Z |
| publishDate | 2019-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-9f6e21f5f7c7420fbd51196ea2f1aac22023-08-08T15:38:46ZengIOP PublishingNew Journal of Physics1367-26302019-01-0121707303110.1088/1367-2630/ab2e8cRepresentation-free description of atom interferometers in time-dependent linear potentialsM Zimmermann0M A Efremov1W Zeller2W P Schleich3J P Davis4F A Narducci5Institut für Quantenphysik and Center for Integrated Quantum Science and Technology (IQST), Universität Ulm , D-89081 Ulm, GermanyInstitut für Quantenphysik and Center for Integrated Quantum Science and Technology (IQST), Universität Ulm , D-89081 Ulm, GermanyInstitut für Quantenphysik and Center for Integrated Quantum Science and Technology (IQST), Universität Ulm , D-89081 Ulm, GermanyInstitut für Quantenphysik and Center for Integrated Quantum Science and Technology (IQST), Universität Ulm , D-89081 Ulm, Germany; Hagler Institute for Advanced Study at Texas A&M University, Texas A&M AgriLife Research, Institute for Quantum Studies and Engineering (IQSE) and Department of Physics and Astronomy, Texas A&M University , College Station, TX 77843-4242, United States of America; Institute of Quantum Technologies , German Aerospace Center (DLR) , D-89069 Ulm, GermanyAMPAC, North Wales, PA 19154, United States of AmericaDepartment of Physics, Naval Postgraduate School, Monterey, CA 93943, United States of AmericaIn 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 T ^2 . 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 T ^2 and T ^3 . Moreover, we have recently proposed a different type of atom interferometer (Zimmermann et al 2017 Appl. Phys. B 123 , 102), referred to as the T ^3 -interferometer, which has a pure T ^3 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 T ^3 -interferometer.https://doi.org/10.1088/1367-2630/ab2e8catom interferometryprecision measurementsrepresentation-free formalism |
| spellingShingle | M Zimmermann M A Efremov W Zeller W P Schleich J P Davis F A Narducci Representation-free description of atom interferometers in time-dependent linear potentials New Journal of Physics atom interferometry precision measurements representation-free formalism |
| title | Representation-free description of atom interferometers in time-dependent linear potentials |
| title_full | Representation-free description of atom interferometers in time-dependent linear potentials |
| title_fullStr | Representation-free description of atom interferometers in time-dependent linear potentials |
| title_full_unstemmed | Representation-free description of atom interferometers in time-dependent linear potentials |
| title_short | Representation-free description of atom interferometers in time-dependent linear potentials |
| title_sort | representation free description of atom interferometers in time dependent linear potentials |
| topic | atom interferometry precision measurements representation-free formalism |
| url | https://doi.org/10.1088/1367-2630/ab2e8c |
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