Interference of Bose-Einstein condensates in momentum space

Abstract

We suggest an experiment to investigate the linear superposition of two spatially separated Bose-Einstein condensates. Due to the coherent combination of the two wave functions, the dynamic structure factor, measurable through inelastic photon scattering at high momentum transfer $q$, is predicted to exhibit interference fringes with frequency period $\Delta \nu =q/md$ where $d$ is the distance between the condensates. We show that the coherent configuration corresponds to an eigenstate of the physical observable measured in the experiment and that the relative phase of the condensates is hence created through the measurement process.

4 pages and 2 eps figures

References in corpus (6)

• Theory of Bose-Einstein condensation in trapped gases
• Bragg spectroscopy of a Bose-Einstein condensate
• Measurements of Relative Phase in Binary Mixtures of Bose-Einstein Condensates
• Continuous Observation of Interference Fringes from Bose Condensates
• Non-destructive optical measurement of relative phase between two Bose condensates
• Testing quantum correlations in a confined atomic cloud by scattering fast atoms

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