Abstract
We theoretically investigate atom interferometric schemes based on three Kapitza–Dirac pulses in a one-dimensional harmonic trap. Kapitza–Dirac pulses as beam splitters create several spatially addressable modes with different momentum. The one-dimensional harmonic potential well acts as a mirror in an optical interferometer, which causes different modes to interfere and numerous high-contrast fringes appear in each mode at the time of measurement. The sensitivity of this atom interferometer in measuring gravitational acceleration can reach \(\varDelta g/g\approx 10^{-10}\), which is further improved with increasing the number of modes.
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This manuscript has no associated data or the data will not be deposited. [Authors’ comment: This is a theoretical paper, all the formulas are presented in the main text.]
References
G.W. Biedermann, H.J. McGuinness, A.V. Rakholia, Y.-Y. Jau, D.R. Wheeler, J.D. Sterk, G.R. Burns, Phys. Rev. Lett. 118, 163601 (2017)
Y. Imanishi, T. Sato, T. Higashi, W. Sun, S. Okubo, Science 306, 476 (2004)
A. Arias, G. Lochead, T.M. Wintermantel, S. Helmrich, S. Whitlock, Phys. Rev. Lett. 122, 053601 (2019)
P.B. Wigley, K.S. Hardman, C. Freier, P.J. Everitt, S. Legge, P. Manju, J.D. Close, N.P. Robins, Phys. Rev. A 99, 023615 (2019)
A. Peters, K.Y. Chung, S. Chu, Nature 400, 849 (1999)
M. Kasevich, S. Chu, Appl. Phys. B 54, 321 (1992)
A.D. Cronin, J. Schmiedmayer, D.E. Pritchard, Rev. Mod. Phys. 81, 1051 (2009)
E.M. Rasel, M.K. Oberthaler, H. Batelaan, J. Schmiedmayer, A. Zeilinger, Phys. Rev. Lett. 75, 2633 (1995)
G. Ferrari, N. Poli, F. Sorrentino, G.M. Tino, Phys. Rev. Lett. 97, 060402 (2006)
P. Asenbaum, C. Overstreet, T. Kovachy, D.D. Brown, J.M. Hogan, M.A. Kasevich, Phys. Rev. Lett. 118, 183602 (2017)
R. Trubko, J. Greenberg, M.T.S. Germaine, M.D. Gregoire, W.F. Holmgren, I. Hromada, A.D. Cronin, Phys. Rev. Lett. 114, 140404 (2015)
R. Karcher, A. Imanaliev, S. Merlet, F. Pereira Dos Santos, New J. Phys. 20, 113041 (2018)
A. Wicht, J. Hensley, E. Sarajlic, S. Chu, Phys. Scr. T102, 82 (2002)
G. Rosi, F. Sorrentino, L. Cacciapuoti, M. Prevedelli, G.M. Tino, Nature (London) 510, 518 (2014)
A. Peters, K.Y. Chung, S. Chu, Metrologia 38, 25 (2001)
T. Farah, C. Guerlin, A. Landragin, P. Bouyer, S. Gaffet, F. Pereira Dos Santos, S. Merlet, Gyrosc. Navig. 5, 266 (2014)
J.F. Clauser, Physica B and C 151, 262 (1988)
W. Li, T. He, A. Smerzi, Phys. Rev. Lett. 116, 149901 (2016)
T. He, E. Wang, Indian J. Phys. 92, 1223 (2018)
T. He, P. Niu, Phys. Lett. A 381, 1087 (2017)
C. Keller, J. Schmiedmayer, A. Zeilinger, T. Nonn, S. D ürr, G. Rempe, Appl. Phys. B 69, (1999) 303
M. Robert-de-Saint-Vincent, J.-P. Brantut, Ch. J. Bord É, A. Aspect, T. Bourdel, P. Bouyer, EPL, 89, (2010) 10002
L. Deng, E. W. Hagley, J. Denschlag, J. E. Simsarian, Mark Edwards, Charles W. Clark, K. Helmerson, S. L. Rolston, W. D. Phillips, Phys. Rev. Lett. 83, 5407 (1999)
M. Abramovitz, A. Stegun, Handbook of Mathematical Functions With Formulas, Graphs and Mathematical Tables (Dover, New York, 1964)
B.R. Holstein, Topics in Advanced Quantum Mechanics (Addison-Wesley, London, 1992)
J. Chwedenczuk, F. Piazza, A. Smerzi, Phys. Rev. A 87, 033607 (2013)
L. Pezzè, A. Smerzi, M.K. Oberthaler, R. Schmied, P. Treutlein, Rev. Mod. Phys. 90, 035005 (2018)
S. Donadello, S. Serafini, T. Bienaimé, F. Dalfovo, G. Lamporesi, G. Ferrari, Phys. Rev. A 94, 023628 (2016)
R.E. Sapiro, R. Zhang, G. Raithel, Phys. Rev. A 79, 043630 (2009)
Acknowledgements
This work was supported by Scientific and Technological Innovation Programs of Higher Education Institutions in Shanxi (Grant No. 2021L408, Grant No. 2021L405).
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T-CH: Conceptualization, Formal analysis, Investigation, Methodology, Resources, Software, Validation, Visualization, Writing - original draft. Y-QM: Supervision, Validation, Writing - original draft, Writing - review. JL: Investigation, Project administration, Data curation.
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He, TC., Ma, YQ. & Li, J. Measuring gravitational acceleration by cold atom multimode interference with three Kapitza–Dirac pulses. Eur. Phys. J. D 76, 3 (2022). https://doi.org/10.1140/epjd/s10053-021-00335-w
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DOI: https://doi.org/10.1140/epjd/s10053-021-00335-w