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arXiv:cond-mat/0602343 · Physical Review A

Theory of coherent Raman superradiance imaging of condensed Bose gases

Hermann Uys, Pierre Meystre

Published Mar 12, 2007• 29 citations
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Abstract

We describe theoretically the dynamics of the off-resonant superradiant Raman scattering of light in a prolate atomic Bose-Einstein condensate, from the initial stages governed by quantum fluctuations to the subsequent semiclassical regime, and within a multimode theory that fully accounts for propagation effects. Our results are in good agreement with recent experimental results that exploit Raman superradiance as an imaging technique to probe the long-range coherence of condensates, including the observed time-dependent spatial features, and account properly for the macroscopic shot-to-shot fluctuations resulting from the quantum noise that initiates the superradiance process.

DOI
10.1103/physreva.75.033805

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We describe theoretically the dynamics of the off-resonant superradiant Raman scattering of light in a prolate atomic Bose-Einstein condensate, from the initial stages governed by quantum fluctuations to the subsequent semiclassical regime, and within a multimode theory that fully accounts for propagation effects. Our results are in good agreement with recent experimental results that exploit Raman superradiance as an imaging technique to probe the long-range coherence of condensates, including the observed time-dependent spatial features, and account properly for the macroscopic shot-to-shot fluctuations resulting from the quantum noise that initiates the superradiance process.
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We propose an alternative formulation for atomic side mode dynamics from superradiant light scattering of trapped atoms. A detailed analysis of the recently observed superradiant light scattering from trapped Bose gases [S. Inouye et al., Science 285, 571 (1999)] is presented. We find that scattered light intensity can exhibit both oscillatory and exponential growth behaviors depending on densities, pump pulse characteristics, temperatures, and geometric shapes of trapped gas samples. The total photon scattering rate as well as the accompanying matter wave amplification depend explicitly on atom number fluctuations in the condensate. Our formulation allows for natural and transparent interpretations of subtle features in the experimental data, and provides numerical simulations in good agreement with most important aspects of the experimental observations.
Using a semiclassical theory we give a unified approach to a class of coherent atom field interactions in a Bose–Einstein condensate, including superradiant light scattering, coherent amplification of atoms, and coherent light amplification. The populations of the excited states are explicitly taken into account, and the role of the recoil kinetic energies of the atoms with different momenta is discussed. In addition to the known features of superradiant emission, we obtain a shift in the spectrum of the scattered light as a consequence of the atomic recoil. The same theoretical method yields results that are in agreement with the experimental findings for atomic beam amplification, as well as for light amplification. Considering the atomic beam amplification process, we obtain a single outgoing amplified atomic beam. In treating the coherent light amplification, the unexpectedly small group velocity seen in the experiments is reproduced, and connected to the double Λ configuration of the levels involved.