Atom Interferometry in the Presence of an External Test Mass
Abstract
The influence of an external test mass on the phase of the signal of an atom interferometer is studied theoretically. Using traditional techniques in atom optics based on the density matrix equations in the Wigner representation, we are able to extract the various contributions to the phase of the signal associated with the classical motion of the atoms, the quantum correction to this motion resulting from atomic recoil that is produced when the atoms interact with Raman field pulses and quantum corrections to the atomic motion that occur in the time between the Raman field pulses. Thus, by increasing the effective wave vector associated with the Raman field pulses using modified field parameters, we can increase the sensitivity of the signal to the point where such quantum corrections can be measured. Furthermore, the expressions that are derived can be evaluated numerically to isolate the contribution to the signal from an external test mass. The regions of validity of the exact and approximate expressions are determined.
- Authors:
-
- 1849 S. Ocean Dr, Hallandale, FL (United States)
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States). Physics Division
- Univ. of Michigan, Ann Arbor, MI (United States). Physics Dept.
- Publication Date:
- Research Org.:
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1376008
- Report Number(s):
- LLNL-JRNL-680526
Journal ID: ISSN 2218-2004; ATOMC5; PII: atoms4020014
- Grant/Contract Number:
- AC52-07NA27344
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Atoms
- Additional Journal Information:
- Journal Volume: 4; Journal Issue: 2; Journal ID: ISSN 2218-2004
- Publisher:
- MDPI
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 74 ATOMIC AND MOLECULAR PHYSICS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 42 ENGINEERING; atom interferometry; inhomogeneous gravitational fields; test mass; quantum phase corrections
Citation Formats
Dubetsky, Boris, Libby, Stephen, and Berman, Paul. Atom Interferometry in the Presence of an External Test Mass. United States: N. p., 2016.
Web. doi:10.3390/atoms4020014.
Dubetsky, Boris, Libby, Stephen, & Berman, Paul. Atom Interferometry in the Presence of an External Test Mass. United States. https://doi.org/10.3390/atoms4020014
Dubetsky, Boris, Libby, Stephen, and Berman, Paul. Thu .
"Atom Interferometry in the Presence of an External Test Mass". United States. https://doi.org/10.3390/atoms4020014. https://www.osti.gov/servlets/purl/1376008.
@article{osti_1376008,
title = {Atom Interferometry in the Presence of an External Test Mass},
author = {Dubetsky, Boris and Libby, Stephen and Berman, Paul},
abstractNote = {The influence of an external test mass on the phase of the signal of an atom interferometer is studied theoretically. Using traditional techniques in atom optics based on the density matrix equations in the Wigner representation, we are able to extract the various contributions to the phase of the signal associated with the classical motion of the atoms, the quantum correction to this motion resulting from atomic recoil that is produced when the atoms interact with Raman field pulses and quantum corrections to the atomic motion that occur in the time between the Raman field pulses. Thus, by increasing the effective wave vector associated with the Raman field pulses using modified field parameters, we can increase the sensitivity of the signal to the point where such quantum corrections can be measured. Furthermore, the expressions that are derived can be evaluated numerically to isolate the contribution to the signal from an external test mass. The regions of validity of the exact and approximate expressions are determined.},
doi = {10.3390/atoms4020014},
journal = {Atoms},
number = 2,
volume = 4,
place = {United States},
year = {Thu Apr 21 00:00:00 EDT 2016},
month = {Thu Apr 21 00:00:00 EDT 2016}
}
Works referenced in this record:
Precision measurement of the photon recoil of an atom using atomic interferometry
journal, May 1993
- Weiss, David S.; Young, Brenton C.; Chu, Steven
- Physical Review Letters, Vol. 70, Issue 18
Optical Ramsey spectroscopy in a rotating frame: Sagnac effect in a matter-wave interferometer
journal, July 1991
- Riehle, F.; Kisters, Th.; Witte, A.
- Physical Review Letters, Vol. 67, Issue 2
High-resolution amplitude and phase gratings in atom optics
journal, December 1998
- Berman, P. R.; Dubetsky, B.; Cohen, J. L.
- Physical Review A, Vol. 58, Issue 6
High-Resolution Atom Interferometers with Suppressed Diffraction Phases
journal, August 2015
- Estey, Brian; Yu, Chenghui; Müller, Holger
- Physical Review Letters, Vol. 115, Issue 8
Rotation Sensing with an Atom Interferometer
journal, February 1997
- Lenef, Alan; Hammond, Troy D.; Smith, Edward T.
- Physical Review Letters, Vol. 78, Issue 5
Precision Rotation Measurements with an Atom Interferometer Gyroscope
journal, March 1997
- Gustavson, T. L.; Bouyer, P.; Kasevich, M. A.
- Physical Review Letters, Vol. 78, Issue 11
Accurate measurement of the quadratic Zeeman coefficient of 87 Rb clock transition based on the Ramsey atom interferometer
journal, January 2013
- Wu, B.; Wang, Z. Y.; Cheng, B.
- Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 47, Issue 1
Testing gravity with cold-atom interferometers
journal, March 2015
- Biedermann, G. W.; Wu, X.; Deslauriers, L.
- Physical Review A, Vol. 91, Issue 3
The Sagnac effect: 20 years of development in matter-wave interferometry
journal, December 2014
- Barrett, Brynle; Geiger, Rémy; Dutta, Indranil
- Comptes Rendus Physique, Vol. 15, Issue 10
Atom-interferometry constraints on dark energy
journal, August 2015
- Hamilton, P.; Jaffe, M.; Haslinger, P.
- Science, Vol. 349, Issue 6250
Gravimetry using atom interferometers: Some systematic effects
journal, January 1999
- Wolf, Peter; Tourrenc, Philippe
- Physics Letters A, Vol. 251, Issue 4
Six-Axis Inertial Sensor Using Cold-Atom Interferometry
journal, July 2006
- Canuel, B.; Leduc, F.; Holleville, D.
- Physical Review Letters, Vol. 97, Issue 1
Ground-state Ramsey fringes
journal, August 1997
- Dubetsky, B.; Berman, P. R.
- Physical Review A, Vol. 56, Issue 2
High-order inertial phase shifts for time-domain atom interferometers
journal, August 2006
- Bongs, K.; Launay, R.; Kasevich, M. A.
- Applied Physics B, Vol. 84, Issue 4
Multiaxis Inertial Sensing with Long-Time Point Source Atom Interferometry
journal, August 2013
- Dickerson, Susannah M.; Hogan, Jason M.; Sugarbaker, Alex
- Physical Review Letters, Vol. 111, Issue 8
Atom Interferometer Measurement of the Newtonian Constant of Gravity
journal, January 2007
- Fixler, J. B.; Foster, G. T.; McGuirk, J. M.
- Science, Vol. 315, Issue 5808
Rovibrational quantum interferometers and gravitational waves
journal, July 2008
- Wicht, Andreas; Lämmerzahl, Claus; Lorek, Dennis
- Physical Review A, Vol. 78, Issue 1
Sensitive absolute-gravity gradiometry using atom interferometry
journal, February 2002
- McGuirk, J. M.; Foster, G. T.; Fixler, J. B.
- Physical Review A, Vol. 65, Issue 3
Measurement of the Gravity-Field Curvature by Atom Interferometry
journal, January 2015
- Rosi, G.; Cacciapuoti, L.; Sorrentino, F.
- Physical Review Letters, Vol. 114, Issue 1
Theoretical and experimental study of the Bragg scattering of atoms from a standing light wave
journal, November 1995
- Giltner, David M.; McGowan, Roger W.; Lee, Siu Au
- Physical Review A, Vol. 52, Issue 5
Measurement of the Earth's Gravity Gradient with an Atom Interferometer-Based Gravity Gradiometer
journal, August 1998
- Snadden, M.; McGuirk, J.; Bouyer, P.
- Physical Review Letters, Vol. 81, Issue 5, p. 971-974
-period optical potentials
journal, October 2002
- Dubetsky, B.; Berman, P. R.
- Physical Review A, Vol. 66, Issue 4
Demonstration of improved sensitivity of echo interferometers to gravitational acceleration
journal, August 2013
- Mok, C.; Barrett, B.; Carew, A.
- Physical Review A, Vol. 88, Issue 2
High-precision gravity measurements using atom interferometry
journal, February 2001
- Peters, A.; Chung, K. Y.; Chu, S.
- Metrologia, Vol. 38, Issue 1
Atom interferometer as a selective sensor of rotation or gravity
journal, August 2006
- Dubetsky, B.; Kasevich, M. A.
- Physical Review A, Vol. 74, Issue 2
Atomic interferometry using stimulated Raman transitions
journal, July 1991
- Kasevich, Mark; Chu, Steven
- Physical Review Letters, Vol. 67, Issue 2
Precision measurement of the Newtonian gravitational constant using cold atoms
journal, June 2014
- Rosi, G.; Sorrentino, F.; Cacciapuoti, L.
- Nature, Vol. 510, Issue 7506
Quantum superposition at the half-metre scale
journal, December 2015
- Kovachy, T.; Asenbaum, P.; Overstreet, C.
- Nature, Vol. 528, Issue 7583
Measurement of gravitational acceleration by dropping atoms
journal, August 1999
- Peters, Achim; Chung, Keng Yeow; Chu, Steven
- Nature, Vol. 400, Issue 6747
Large Area Atom Interferometers
journal, September 2011
- Chiow, Sheng-wey; Kovachy, Tim; Chien, Hui-Chun
- Physical Review Letters, Vol. 107, Issue 13
Ultrahigh-resolution two-photon optical Ramsey spectroscopy of an atomic fountain
journal, March 1986
- Beausoleil, R. G.; Hansch, T. W.
- Physical Review A, Vol. 33, Issue 3
Talbot-Lau effect for atomic de Broglie waves manipulated with light
journal, April 2005
- Turlapov, Andrey; Tonyushkin, Alexei; Sleator, Tycho
- Physical Review A, Vol. 71, Issue 4
General relativistic effects in atom interferometry
journal, August 2008
- Dimopoulos, Savas; Graham, Peter W.; Hogan, Jason M.
- Physical Review D, Vol. 78, Issue 4
Time-Domain de Broglie Wave Interferometry
journal, August 1997
- Cahn, S. B.; Kumarakrishnan, A.; Shim, U.
- Physical Review Letters, Vol. 79, Issue 5
Enhancing the Area of a Raman Atom Interferometer Using a Versatile Double-Diffraction Technique
journal, August 2009
- Lévèque, T.; Gauguet, A.; Michaud, F.
- Physical Review Letters, Vol. 103, Issue 8
Works referencing / citing this record:
Phase shift in atom interferometers: Corrections for nonquadratic potentials and finite-duration laser pulses
journal, March 2019
- Bertoldi, A.; Minardi, F.; Prevedelli, M.
- Physical Review A, Vol. 99, Issue 3
Ramsey-Bordé Matter-Wave Interferometry for Laser Frequency Stabilization at Frequency Instability and Below
journal, August 2019
- Olson, Judith; Fox, Richard W.; Fortier, Tara M.
- Physical Review Letters, Vol. 123, Issue 7