Abstract
For upcoming experiments, we require a linear magnetic field to be applied over the longitudinal extent of an atom’s trajectory through a vertically oriented atom interferometer. Additionally, we plan to use magnetically sensitive states. This combination comes at the cost of increased sensitivity to noise in the external field environment and, as a result, the magnetic field must be more carefully characterized and controlled than in a standard atom interferometer. We present our methods to characterize an extended, linear magnetic field environment which can be suitable for making such a system. We perform standard Raman spectroscopy but by adding time resolution to the spectroscopy, we are able to use the expansion of a thermal cloud of atoms to sample a large range along the ballistic atom path with a single spectrum. A small number of these spectra can then be used to map the field along the entire path with better precision than standard Raman spectroscopy.
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Notes
The proper function is an Airy function. However, we found the Gaussian fit easier to implement and good enough for our purpose.
References
D.W. Keith, C.R. Ekstrom, Q.A. Turchette, D.E. Pritchard, Phys. Rev. Lett. 66, 2693 (1991). https://doi.org/10.1103/PhysRevLett.66.2693
O. Carnal, J. Mlynek, Phys. Rev. Lett. 66, 2689 (1991). https://doi.org/10.1103/PhysRevLett.66.2689
F. Riehle, T. Kisters, A. Witte, J. Helmcke, C.J. Bordé, Phys. Rev. Lett. 67, 177 (1991). https://doi.org/10.1103/PhysRevLett.67.177
M. Kasevich, S. Chu, Phys. Rev. Lett. 67, 181 (1991). https://doi.org/10.1103/PhysRevLett.67.181
M. Kasevich, S. Chu, Appl. Phys. B Photophys. Laser Chem. 54, 321 (1992). https://doi.org/10.1007/BF00325375
P. Storey, C. Cohen-Tannoudji, J. Phys. II 4, 1999 (1994). https://doi.org/10.1051/jp2:1994103
P.R. Berman, Atom Interferometry, 1st edn. (Academic Press, San Diego, 1996)
J. Baudon, R. Mathevet, J. Robert, J. Phy. B-Atom. Mol. Opt. Phys. 32, R173 (1999). https://doi.org/10.1088/0953-4075/32/15/201
A.D. Cronin, J. Schmiedmayer, D.E. Pritchard, Rev. Mod. Phys. 81, 1051 (2009). https://doi.org/10.1103/RevModPhys.81.1051
S. Lepoutre, H. Jelassi, G. Trénec, M. Büchner, J. Vigué, Gen. Relativ. Gravit. 43, 2011 (2011). https://doi.org/10.1007/s10714-010-1133-y
B. Barrett, R. Geiger, I. Dutta, M. Meunier, B. Canuel, A. Gauguet, P. Bouyer, A. Landragin, C R Phys. 15, 875 (2014). https://doi.org/10.1016/j.crhy.2014.10.009
R. Geiger, A. Landragin, S. Merlet, F. Pereira Dos Santos, AVS Quantum Sci. 2, 024702 (2020). https://doi.org/10.1116/5.0009093
B. Barrett, A. Bertoldi, P. Bouyer, Phys. Scr. 91, 053006 (2016). https://doi.org/10.1088/0031-8949/91/5/053006
K. Bongs, M. Holynski, J. Vovrosh, P. Bouyer, G. Condon, E. Rasel, C. Schubert, W.P. Schleich, A. Roura, Nat. Rev. Phys. 1, 731 (2019). https://doi.org/10.1038/s42254-019-0117-4
J. Fang, J. Qin, Sensors 12, 6331 (2012). https://doi.org/10.3390/s120506331
N.P. Robins, P.A. Altin, J.E. Debs, J.D. Close, Atom lasers: production, properties and prospects for precision inertial measurement. Phys. Rep. 529, 265 (2013). https://doi.org/10.1016/j.physrep.2013.03.006
M.S. Safronova, D. Budker, D. DeMille, D.F.J. Kimball, A. Derevianko, C.W. Clark, Rev. Mod. Phys. 90, 025008 (2018). https://doi.org/10.1103/RevModPhys.90.025008
F.A. Narducci, A.T. Black, J.H. Burke, Adv. Phys. X 7, 1946426 (2022). https://doi.org/10.1080/23746149.2021.1946426
M. Zimmermann, M.A. Efremov, A. Roura, W.P. Schleich, S.A. DeSavage, J.P. Davis, A. Srinivasan, F.A. Narducci, S.A. Werner, E.M. Rasel, Appl. Phys. B 123, 102 (2017). https://doi.org/10.1007/s00340-017-6655-5
M. Zimmermann, M.A. Efremov, W. Zeller, W.P. Schleich, J.P. Davis, F.A. Narducci, New J. Phys. 21, 073031 (2019). https://doi.org/10.1088/1367-2630/ab2e8c
O. Amit, Y. Margalit, O. Dobkowski, Z. Zhou, Y. Japha, M. Zimmermann, M. Efremov, F. Narducci, E. Rasel, W. Schleich, R. Folman, Phys. Rev. Lett. 123, 083601 (2019). https://doi.org/10.1103/PhysRevLett.123.083601
B.-G. Englert, J. Schwinger, M.O. Scully, Found. Phys. 18, 1045 (1988). https://doi.org/10.1007/BF01909939
J. Schwinger, M.O. Scully, B.G. Englert, Zeitschrift für Physik D Atoms Mol. Clust. 10, 135 (1988). https://doi.org/10.1007/BF01384847
M.O. Scully, B.-G. Englert, J. Schwinger, Phys. Rev. A 40, 1775 (1989). https://doi.org/10.1103/PhysRevA.40.1775
L. Devenoges, G.D. Domenico, A. Stefanov, A. Jallageas, J. Morel, T. Südmeyer, P. Thomann, Metrologia 54, 239 (2017). https://doi.org/10.1088/1681-7575/aa62d1
S. Jefferts, D. Meekhof, J. Shirley, T. Parker, F. Levi, inhref Proceedings of the 1999 Joint Meeting of the European Frequency and Time Forum and the IEEE International Frequency Control Symposium (Cat. No.99CH36313), vol. 1, pp. 12–15. iSSN: 1075-6787, (1999). https://doi.org/10.1109/FREQ.1999.840695
R. Wynands, S. Weyers, Metrologia 42, S64 (2005). https://doi.org/10.1088/0026-1394/42/3/S08
M. Sales, M. Strobl, T. Shinohara, A. Tremsin, L.T. Kuhn, W.R.B. Lionheart, N.M. Desai, A.B. Dahl, S. Schmidt, Sci. Rep. 8(1), 2214 (2018). https://doi.org/10.1038/s41598-018-20461-7
G. Breit, I.I. Rabi, Phys. Rev. 38, 2082 (1931). https://doi.org/10.1103/PhysRev.38.2082.2
Acknowledgements
We thank Matthias Zimmermann, Maxim Efremov and Wolfgang Schleich for many useful discussions. We also gratefully acknowledge the generous support from the Office of the Secretary of Defense in the form of a Laboratory University Collaborative Initiative (LUCI) grant, the Office of Naval Research and the Army Research Office.
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This research was performed while the first author held an NRC Research Associateship award at the Naval Postgraduate School.
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Lee, J., Narducci, F. Spatial magnetic field mapping with Raman spectra of laser-cooled atoms in free-fall. Eur. Phys. J. Spec. Top. 232, 3377–3385 (2023). https://doi.org/10.1140/epjs/s11734-023-01005-1
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DOI: https://doi.org/10.1140/epjs/s11734-023-01005-1