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0342373995
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note
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The mean-field energy shift of the out-coupled wave packet in [5] can be used to infer the repulsion velocity. Here we measure the velocity directly.
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17
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0343243557
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note
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All uncertainties reported here are 1 standard deviation combined statistical and systematic uncertainties.
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22
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0342809029
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note
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2 intensity, and was detuned 15 MHz from resonance.
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23
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0343243554
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note
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The momenta are not exactly p = 0 and p = 2ℏk because of repulsion effects that will be discussed.
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25
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0343679141
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note
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The observation is consistent with the full predicted fringe contrast when we include the finite imaging resolution.
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26
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0343243555
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note
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iφ(x,y,z) is separable, i.e., φ(x, y, z) = φ(x) + η(y,z). Straight fringes imply this separability.
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28
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0343679140
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note
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-4, respectively.
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29
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0342373986
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note
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In practice, C includes a random phase from mirror vibrations.
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30
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0342809022
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note
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1 due to the repulsion of the wave packets. We include the correction in our data analysis in a self-consistent manner. The correction modifies α insignificantly, but increases the final values of δυ by =0.05 mm/s.
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32
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0342373985
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note
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In fact, after the first pulse the wave packets contract because the reduced mean-field energy can no longer support the wave packet size.
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33
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0343679138
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note
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We also correct the fringe spacings for the contraction of the wave packets between the final interferometer pulse and when the image is taken.
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34
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0343243550
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note
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We assume δυ ≪ ℏk/M, Tω, ≪ 1, and harmonic motion in the trap.
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