“…We actually propose to use the six-pulse interferometer instead of transferring experiments into microgravity environment. Possible examples here are measurement of levels polarizability [26] or observation of the Aharonov-Bohm effect [27]. We also believe that one can insert additional π pulses in the scheme of the recoil frequency measurement [6] to make this measurement independent on the gravity, gravity gradient and the Earth rotation.…”
In the presence of Earth gravity and gravity-gradient forces, centrifugal and Coriolis forces caused by the Earth rotation, the phase of the time-domain atom interferometers is calculated with accuracy up to the terms proportional to the fourth degree of the time separation between pulses. We considered double-loop atom interferometers and found appropriate condition to eliminate their sensitivity to acceleration to get atomic gyroscope, or to eliminate the sensitivity to rotation to increase accuracy of the atomic gravimeter. Consequent use of these interferometers allows one to measure all components of the acceleration and rotation frequency projection on the plane perpendicular to gravity acceleration. Atom interference on the Raman transition driving by noncounterpropagating optical fields is proposed to exclude stimulated echo processes which can affect the accuracy of the atomic gyroscopes. Using noncounterpropagating optical fields allows one to get a new type of the Ramsey fringes arising in the unidirectional Raman pulses and therefore centered at the twoquantum line center. Density matrix in the Wigner representation is used to perform calculations. It is shown that in the time between pulses, in the noninertial frame, for atoms with fully quantized spatial degrees of freedom, this density matrix obeys classical Liouville equations.
“…We actually propose to use the six-pulse interferometer instead of transferring experiments into microgravity environment. Possible examples here are measurement of levels polarizability [26] or observation of the Aharonov-Bohm effect [27]. We also believe that one can insert additional π pulses in the scheme of the recoil frequency measurement [6] to make this measurement independent on the gravity, gravity gradient and the Earth rotation.…”
In the presence of Earth gravity and gravity-gradient forces, centrifugal and Coriolis forces caused by the Earth rotation, the phase of the time-domain atom interferometers is calculated with accuracy up to the terms proportional to the fourth degree of the time separation between pulses. We considered double-loop atom interferometers and found appropriate condition to eliminate their sensitivity to acceleration to get atomic gyroscope, or to eliminate the sensitivity to rotation to increase accuracy of the atomic gravimeter. Consequent use of these interferometers allows one to measure all components of the acceleration and rotation frequency projection on the plane perpendicular to gravity acceleration. Atom interference on the Raman transition driving by noncounterpropagating optical fields is proposed to exclude stimulated echo processes which can affect the accuracy of the atomic gyroscopes. Using noncounterpropagating optical fields allows one to get a new type of the Ramsey fringes arising in the unidirectional Raman pulses and therefore centered at the twoquantum line center. Density matrix in the Wigner representation is used to perform calculations. It is shown that in the time between pulses, in the noninertial frame, for atoms with fully quantized spatial degrees of freedom, this density matrix obeys classical Liouville equations.
“…The point A is the measurement of Crosby and Zorn [18] and the point B is that of Ekstrom et al [16] determined in combination with measurements from Molof et al [17]. …”
Section: Tablesmentioning
confidence: 99%
“…[3] and [5], and the estimated extrapolation error in the last digit is given in parentheses with the listed values. The largest basis set sizes used consisted of 616 functions for the S [16,17] and the bounds of Glover and Weinhold are compared with our calculated polarizability in Fig. 1.…”
Polarizabilities, dispersion coefficients, and long-range atom-surface interaction potentials are calculated for the n = 2 triplet and singlet states of helium using highly accurate, variationally determined, wave functions.
“…In the last decade, an impressive list of high-precision atom interferometrical measurements of e.g. fundamental constants, atomic properties, inertial forces, and rotations have been performed [2,3,4,5,6,7,8,9,10].…”
We experimentally demonstrate interferometer-type guiding structures for neutral atoms based on dipole potentials created by micro-fabricated optical systems. As a central element we use an array of atom waveguides being formed by focusing a red-detuned laser beam with an array of cylindrical microlenses. Combining two of these arrays, we realize X-shaped beam splitters and more complex systems like the geometries for Mach-Zehnder and Michelson-type interferometers for atoms.
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