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Physical Review A

Observation of superradiant Raman scattering in a Bose-Einstein condensate

Yutaka Yoshikawa, Toshiaki Sugiura, Yoshio Torii, Takahiro Kuga

Published Apr 1, 2004• 63 citations
Publisher

Abstract

We observed superradiant Raman scattering from a Bose-Einstein condensate irradiated by a single off-resonant light beam. Spontaneous mode selection of the scattered radiation turns probabilistic optical pumping into a stimulated Raman process, whereby the atoms are coherently transferred into a different hyperfine state. The population in the pumped state grew exponentially in time, demonstrating the emergence of bosonic stimulation in the optical pumping process.

DOI
10.1103/physreva.69.041603

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We observed superradiant Raman scattering from a Bose-Einstein condensate irradiated by a single off-resonant light beam. Spontaneous mode selection of the scattered radiation turns probabilistic optical pumping into a stimulated Raman process, whereby the atoms are coherently transferred into a different hyperfine state. The population in the pumped state grew exponentially in time, demonstrating the emergence of bosonic stimulation in the optical pumping process.
Stimulated Raman scattering on $\mathrm{\ensuremath{\Lambda}}$ atoms is a promising tool for generating optical photons from a microwave excitation in the ground-state hyperfine manifold. We consider an atomic Bose-Einstein condensate coupled to a microwave field that scatters photons into the guided modes of a nearby optical fiber. Due to momentum transfer to the condensate, stimulated photon scattering can occur outside of the phase-matched direction, which can be used to separate the converted photons from the strong Raman readout pulse. Conversely, in the phase-matched direction, superradiant scattering due to bosonic enhancement leads to an increased collection efficiency in the guided modes of the fiber, for which we determine optimal conditions.
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.
Stimulated Raman scattering of atoms with Λ\LambdaΛ-configuration of levels is a promising tool for transducing microwave photons to optical photons. We consider an atomic Bose-Einstein condensate whose large phase-space density highly amplifies the coupling to the microwave field. Due momentum transfer to the condensate, stimulated photon scattering can occur outside of the phase-matched direction, which can be used to separate the converted photons from the strong Raman readout pulse. Conversely, in the phase-matched direction, superradiant scattering due to bosonic enhancement leads to increased efficiency of the microwave to optical conversion. We determine the optimal conditions for the emitted optical photons to be collected into the guided modes of optical fibers.
The interaction of short and strong laser pulses with an atomic Bose-Einstein condensate is found to generate patterns of recoiling atoms that are different from those seen in previous light-scattering experiments. This phenomenon can only be explained by optical stimulation, showing that the previous description of superradiance as atomic stimulation is incomplete and that matter-wave amplification in Bose-Einstein condensates is suppressed at short times. Our experiments clarify the nature of bosonic stimulation in the four-wave mixing of light and atoms.
Recent experiments have demonstrated superradiant Raman scattering from a Bose-Einstein condensate driven by a single off-resonant laser beam. We present a quantum theory describing this phenomenon, showing Raman amplification of matter wave due to collective atomic recoil from 3-level atoms in a $\ensuremath{\Lambda}$-configuration. When atoms are initially in a single lower internal state, a closed two-level system is realized between atoms with different internal states, and entangled atom-photon pairs can be generated. When atoms are initially prepared in both the lower internal states, a fraction of atoms recoiling in the backward direction can be generated.