# Atom Interferometry by Paul R. Berman

By Paul R. Berman

The sphere of atom interferometry has elevated swiftly lately, and todays learn laboratories are utilizing atom interferometers either as inertial sensors and for precision measurements. Many researchers additionally use atom interferometry as a way of getting to know basic questions in quantum mechanics. **Atom Interferometry comprises contributions from theoretical and experimental physicists on the vanguard of this speedily constructing box. Editor Paul R. Berman comprises a superb stability of history fabric and up to date experimental results,providing a common assessment of atom interferometry and demonstrating the promise that it holds for the long run. Key good points * contains contributions from some of the learn teams that experience pioneered this rising box * Discusses and demonstrates new points of the wave nature of atoms * Explains the numerous very important functions of atom interferometry, from a dimension of the gravitational consistent to atom lithography * Examines purposes of atom interferometry to essentially vital quantum mechanics difficulties
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**Additional info for Atom Interferometry**

**Example text**

A phase 0 in %bs coincides with the contrast maximum to better than 1 part in 105. A vertical dashed line is drawn through the contrast maximum to guide the eye. The generation of the lower graph is described in the text. It shows that the phase difference is very linear in the region of the contrast maximum. plying a potential gradient across the entire interferometer leads to a phase shift between the interfering paths proportional to the difference of the potentials on the two paths traversed, as described in the previous section.

In most of our experiments, we exploited the ability to physically separate the two arms of our interferometer by applying a time-independent interaction potential V(x) to one arm only (classical path F~ Since the other arm of the interferometer has no potential applied, the interaction induces a relative phase difference between the two arms (see Eq. (6)). We recall that the interaction phase Aq~ from Eq. (6) is 0 for the case of no applied interaction to either area. Hence, if one arm is unshifted, the overall phase shift of the interference pattern is given by the difference between the phase accumulated along the shifted arm with the interaction on and the phase accumulated along this arm if there were no applied interaction.

The quantity V~C depends strongly on the open fractions ~i of the three amplitude gratings. For example, the third grating alone contributes a reduction in the observed fringe amplitude of sin(Tr/33)/Tr, and a reduction in contrast of sin(Tr/33)/7r/33. The problem of determining the ideal open fractions can be split into two parts: optimizing the interference pattern and optimizing the open fraction of the third grating for near field detection. 5. 37 as the best value. With these open fractions, we expect a maximum contrast of 67% and a maximum detected signal of 1% of the initial beam.