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Title: 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:
 [1];  [2];  [3]
  1. 1849 S. Ocean Dr, Hallandale, FL (United States)
  2. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States). Physics Division
  3. 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. https://doi.org/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 = {2016},
month = {4}
}

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    Ramsey-Bordé Matter-Wave Interferometry for Laser Frequency Stabilization at 10 16 Frequency Instability and Below
    journal, August 2019


    Phase shift in atom interferometers: Corrections for nonquadratic potentials and finite-duration laser pulses
    journal, March 2019


    Phase Shift in an Atom Interferometer due to Spacetime Curvature across its Wave Function
    journal, May 2017