TY - JOUR

T1 - Double Bragg diffraction

T2 - A tool for atom optics

AU - Giese, E.

AU - Roura, A.

AU - Tackmann, G.

AU - Rasel, E. M.

AU - Schleich, W. P.

N1 - Funding information: We thank Mary Wheeler from UT Austin for her support of this project. We are indebted to Joanne Fredrich of Sandia National Labs and Zee Wang of ChevronTexaco, who contributed the rock physics data for diatomite. The authors gratefully acknowledge support for this work from the U.S. Department of Energy’s Natural Gas and Oil Technology Partnership Program (NGOTP). Oil industry partners for this project include BP, ChevronTexaco, ExxonMobil, Halliburton, and Schlum-berger. The second author is employed at Sandia National Laboratories. Sandia is a multiprogram laboratory operated by Sandia Corporation, a Lockheed Martin Company, for the United States Department of Energy under contract DE-ACO4-94AL85000.

PY - 2013/11/8

Y1 - 2013/11/8

N2 - The use of retroreflection in light-pulse atom interferometry under microgravity conditions naturally leads to a double-diffraction scheme. The two pairs of counterpropagating beams induce simultaneously transitions with opposite momentum transfer that, when acting on atoms initially at rest, give rise to symmetric interferometer configurations where the total momentum transfer is automatically doubled and where a number of noise sources and systematic effects cancel out. Here we extend earlier implementations for Raman transitions to the case of Bragg diffraction. In contrast with the single-diffraction case, the existence of additional off-resonant transitions between resonantly connected states precludes the use of the adiabatic elimination technique. Nevertheless, we have been able to obtain analytic results even beyond the deep Bragg regime by employing the so-called "method of averaging," which can be applied to more general situations of this kind. Our results have been validated by comparison to numerical solutions of the basic equations describing the double-diffraction process.

AB - The use of retroreflection in light-pulse atom interferometry under microgravity conditions naturally leads to a double-diffraction scheme. The two pairs of counterpropagating beams induce simultaneously transitions with opposite momentum transfer that, when acting on atoms initially at rest, give rise to symmetric interferometer configurations where the total momentum transfer is automatically doubled and where a number of noise sources and systematic effects cancel out. Here we extend earlier implementations for Raman transitions to the case of Bragg diffraction. In contrast with the single-diffraction case, the existence of additional off-resonant transitions between resonantly connected states precludes the use of the adiabatic elimination technique. Nevertheless, we have been able to obtain analytic results even beyond the deep Bragg regime by employing the so-called "method of averaging," which can be applied to more general situations of this kind. Our results have been validated by comparison to numerical solutions of the basic equations describing the double-diffraction process.

UR - http://www.scopus.com/inward/record.url?scp=84887510599&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.88.053608

DO - 10.1103/PhysRevA.88.053608

M3 - Article

AN - SCOPUS:84887510599

VL - 88

JO - Physical Review A - Atomic, Molecular, and Optical Physics

JF - Physical Review A - Atomic, Molecular, and Optical Physics

SN - 1050-2947

IS - 5

M1 - 053608

ER -