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Conference on Lasers and Electro-Optics

Towards homogeneously broadened spectroscopy of bogoliubov excitations in bose condensates

Katz, Gcrshnable, Rowen, Davidson

Published Jan 1, 2004• 0 citations
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Bose-Einstein condensates (BEC) serve as a model system for the study of the dynamic and spectroscopic response of a quantum system to momentum excitation. However, high -resolution spectroscopy of BEC has suffered from various finite-size (Doppler broadening) and inhomogeneous density effects [1]. We propose and demonstrate experimentally [2] a momentum space echo method using two and four -photon Bragg pulses, in order to overcome these broadening mechanisms. This method is pre sented in Fig. 1, where the excitation scheme and resulting populations in momentum space are shown. We demonstrate this scheme experimentally by using a four -photon echo pulse to reflect the initi ally populated excitations. The spectroscopic response of t he echo pulse is narrower than that of a regular Bragg pulse, as shown in Fig. 2.

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Using two-photon Bragg spectroscopy, we study the energy of particlelike excitations in a strongly interacting homogeneous Bose-Einstein condensate, and observe dramatic deviations from Bogoliubov theory. In particular, at large scattering length a the shift of the excitation resonance from the free-particle energy changes sign from positive to negative. For an excitation with wave number q, this sign change occurs at a≈4/(πq), in agreement with the Feynman energy relation and the static structure factor expressed in terms of the two-body contact. For a≳3/q we also see a breakdown of this theory, and better agreement with calculations based on the Wilson operator product expansion. Neither theory explains our observations across all interaction regimes, inviting further theoretical efforts.

arXiv:1702.02935•Physical Review Letters•May 23, 2017•47 citations
Bose-Einstein condensates (BEC) serve as a model system for the study of the dynamic and spectroscopic response of a quantum system to momentum excitation. However, high -resolution spectroscopy of BEC has suffered from various finite-size (Doppler broadening) and inhomogeneous density effects [1]. We propose and demonstrate experimentally [2] a momentum space echo method using two and four -photon Bragg pulses, in order to overcome these broadening mechanisms. This method is pre sented in Fig. 1, where the excitation scheme and resulting populations in momentum space are shown. We demonstrate this scheme experimentally by using a four -photon echo pulse to reflect the initi ally populated excitations. The spectroscopic response of t he echo pulse is narrower than that of a regular Bragg pulse, as shown in Fig. 2.
We propose and demonstrate an echo method to reduce the inhomogeneous linewidth of Bogoliubov excitations, in a harmonically-trapped Bose-Einstein condensate. Our proposal includes the transfer of excitations with momentum +q+q+q to $\ensuremath{-}q$ using a double two photon Bragg process, in which a substantial reduction of the inhomogeneous broadening is calculated. Furthermore, we predict an enhancement in the method's efficiency for low momentum due to many-body effects. As a proof of principle, the echo can also be implemented by using a four photon process, as is demonstrated experimentally.
Using two-photon Bragg spectroscopy, we study the energy of particlelike excitations in a strongly interacting homogeneous Bose-Einstein condensate, and observe dramatic deviations from Bogoliubov theory. In particular, at large scattering length a the shift of the excitation resonance from the free-particle energy changes sign from positive to negative. For an excitation with wave number q, this sign change occurs at a≈4/(πq), in agreement with the Feynman energy relation and the static structure factor expressed in terms of the two-body contact. For a≳3/q we also see a breakdown of this theory, and better agreement with calculations based on the Wilson operator product expansion. Neither theory explains our observations across all interaction regimes, inviting further theoretical efforts.