The zero-temperature dynamical structure factor of the one-dimensional Bose gas with delta-function interaction (Lieb-Liniger model) is computed as a function of momentum and frequency using a hybrid theoretical/numerical method based on the exact Bethe-ansatz solution. This allows one to interpolate continuously between the weakly coupled Thomas-Fermi and strongly coupled Tonks-Girardeau regimes. The results should be experimentally accessible with Bragg spectroscopy.
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Caux et al. (2006) studied this question.
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