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13
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85088491119
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note
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spin wave = 5 Hz, so interrogation times of 20 ms are acceptable.
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14
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85088491193
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note
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min = 6 834 678 113.59(2) Hz [9].
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15
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84983710585
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0037017976
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19
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0013104403
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note
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c = 1.7(2) in order to put a reasonable limit on the size of possible systematic errors, and not because we feel it is the preferred value.
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20
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0000781489
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D.S. Hall, M.R. Matthews, J.R. Ensher, C.E. Wieman, and E.A. Cornell, Phys. Rev. Lett. 81, 1539 (1998).
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21
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0013104404
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note
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When we changed the length of the first Ramsey pulse, the second pulse length was also changed such that the two pulses combined to form a π pulse, which gives us the maximum signal to noise.
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22
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0013098405
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note
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The quoted chirp limit of - 0.2(3) Hz includes a correction to account for a small frequency change associated with decay of total atom number during the measurment time. For each data set the number decay was found by allowing an exponential decay in the fit of the Ramsey fringes (not to be confused with the decay in Ramsey fringe contrast associated with decoherence), resulting in a correction amounting to -0.74 Hz on average.
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23
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85088489250
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note
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-(t/T)2, the same functional form as we fit to the actual experimental data, gives values typically within 5%. and at worst 12%, of the 1/e time.
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24
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0000076067
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W.M. Itano, J.C. Bergquist, J.J. Bollinger, J.M. Gilligan, D.J. Heinzen, F.L. Moore, M.G. Raizen, and D.J. Wineland, Phys. Rev. A 47, 3554 (1993).
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Itano, W.M.1
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Moore, F.L.6
Raizen, M.G.7
Wineland, D.J.8
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