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Physical Review Letters

Atomic Wave Diffraction and Interference Using Temporal Slits

Pascal Szriftgiser, David Guéry-Odelin, Markus Arndt, Jean Dalibard

Published Jul 1, 1996• 250 citations
Publisher

Abstract

We measure the energy distribution of a slow Cesium atomic beam when it is chopped into a short pulse and we find results which agree well with the time-energy uncertainty principle. The chopper consists in an atomic mirror formed by a laser evanescent wave whose intensity is pulsed. We use the temporally diffracted beam to design a Young-slit-type interferometer, in which the interfering paths consist of atomic trajectories bouncing at two different times on the mirror. By changing the mirror intensity, we can scan the atomic phase difference between the two arms.

DOI
10.1103/physrevlett.77.4

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We measure the energy distribution of a slow Cesium atomic beam when it is chopped into a short pulse and we find results which agree well with the time-energy uncertainty principle. The chopper consists in an atomic mirror formed by a laser evanescent wave whose intensity is pulsed. We use the temporally diffracted beam to design a Young-slit-type interferometer, in which the interfering paths consist of atomic trajectories bouncing at two different times on the mirror. By changing the mirror intensity, we can scan the atomic phase difference between the two arms.
Light pulses have proven to be a powerful and versatile tool to implement beam splitters and mirrors for matter waves enabling atom interferometers. However, for high-precision measurements with such devices the specific realization is crucial and novel techniques might increase the sensitivity. To illustrate the diversity of light-pulse beam splitting and the subtle differences between the diffraction mechanisms, we study atomic Raman, Bragg, and the new method of double Bragg diffraction in a coherent way. Moreover, we introduce a versatile formalism to determine the interference signal of a Mach-Zehnder geometry and give an interpretation in terms of proper-time difference. In addition, we explore the feasibility of a specular mirror for atoms, which might lead to an interferometer testing the equivalence principle.
We present time-resolved diffraction and two-slit interference experiments using a streak camera as a detector for femtosecond pulses of photons. These experiments show how the diffraction pattern is built by adding frames of a few photons to each frame. It is estimated that after 300 photons the diffraction pattern emerges. With time resolution we can check the speed of light and put an upper limit of 2 ps at our resolution to the time for wave function collapse in the quantum measurement process. We then produce interference experiments with photons of different energies impinging on the slits, i.e. we know which photon impinges on each slit. We show that for poor time resolution, no interference is observed, but for high time resolution, we have interference that is revealed as beats of 100 GHz frequency. The condition for interference is that the two pulses should overlap spatially at the detector, even if the pulses have different energies but are generated from the same pulse of the laser. The interference seems to be in agreement with classical theory at first sight. However, closer study and analysis of the data show deviations in the visibility of the interference fringes and of their phase. These experiments are discussed in connection with quantum mechanics and it may be concluded that the time resolution provides new data for understanding the longstanding and continuing arguments on wave-particle duality initiated by Newton, Young, Fresnel, Planck and others. A thought experiment is presented in the appendix to try to distinguish the photons at the detector by making it sensitive to colour.
We have designed a gravitational cavity for ultra-cold atoms using an atomic mirror made from an evanescent laser wave.By a temporal variation of the evanescent wave intensity, we have realized various atom optics components such as temporal slits and phase modulators.We have also designed an atom interferometer using this cavity which proves that the coherence of the de Broglie waves can be preserved during the bounce of the atoms on the mirror.Finally we show that an efficient cooling of the atoms inside the cavity can be achieved using a Sisyphus process during the bounce.
Cesium atoms prepared in a state of well-defined total energy have been reflected from a vibrating mirror, causing the matter waves to be phase modulated. The mirror is an evanescent light wave whose intensity is modulated in time at a frequency $\ensuremath{\nu}$ in the range 0 to 2 MHz; the atoms are reflected at normal incidence. The resulting beam consists of a ``carrier'' plus various sidebands corresponding to de Broglie waves propagating at different velocities. The precision and flexibility of this technique make it a promising tool in atom optics.
Atom-optics experiments are presented using a time-modulated evanescent light wave as an atomic mirror in the trampoline configuration, i.e., perpendicular to the direction of the atomic free fall. This modulated mirror is used to accelerate cesium atoms, to focus their trajectories, and to apply a ``multiple lens'' to separately focus different velocity classes of atoms originating from a point source. We form images of a simple two-slit object to show the resolution of the device. The experiments are modelled by a general treatment analogous to classical ray optics. \textcopyright{} 1996 The American Physical Society.