Cavity atom optics and the `free atom laser'
J. Heurich, M. G. Moore, and P. Meystre

TL;DR
This paper explores how Bose-Einstein condensates interact with light within a trap environment, drawing analogies to cavity QED, and introduces the concept of a matter-wave analog of the free-electron laser called the condensate collective atomic recoil laser.
Contribution
It introduces the concept of cavity atom optics and the free atom laser, analyzing how trap environments influence matter-wave and light interactions in BECs.
Findings
Atoms initially behave as in free space for short times
Longer times reveal significant trap influence on atom-light interactions
Proposes the condensate collective atomic recoil laser as an analog to free-electron laser
Abstract
The trap environment in which Bose-Einstein condensates are generated and/or stored strongly influences the way they interact with light. The situation is analogous to cavity QED in quantum optics, except that in the present case, one tailors the matter-wave mode density rather than the density of modes of the optical field. Just as in QED, for short times, the atoms do not sense the trap and propagate as in free space. After times long enough that recoiling atoms can probe the trap environment, however, the way condensates and light fields are mutually influenced differs significantly from the free-space situation. We use as an example the condensate collective atomic recoil laser, which is the atomic matter-wave analog of the free-electron laser.
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