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85037246208
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N.F. Ramsey, Molecular Beams (Clarendon Press, Oxford, 1956)
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13
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85037205935
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At (Formula presented) (Formula presented) so interrogation times of 20 ms are acceptable
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At (Formula presented) (Formula presented) so interrogation times of 20 ms are acceptable.
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14
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85037185194
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Where (Formula presented) and (Formula presented) 9
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Where (Formula presented) and (Formula presented) 9.
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15
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84983710585
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M.Ö. Oktel, T.C. Killian, D. Kleppner, and L.S. Levitov, Phys. Rev. A 65, 033617 (2002).
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0037017976
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E.G.M. van Kempen, S.J.J.M.F. Kokkelmans, D.J. Heinzen, and B.J. Verhaar, Phys. Rev. Lett. 88, 093201 (2002).
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19
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85037243355
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The Thomas-Fermi radius (and to a lesser extent the critical temperature) are of course interaction dependent, and therefore using measurements of these quantities to calibrate densities in order to characterize interaction strengths is somewhat circular. Our directly measured value of (Formula presented) on the other hand, is based predominantly on measured spatial extent of the cloud and on an absolute determination of the absorption depth, and therefore it is only weakly model dependent. We quote the “worst-case corrected value” of (Formula presented) in order to put a reasonable limit on the size of possible systematic errors, and not because we feel it is the preferred value
-
The Thomas-Fermi radius (and to a lesser extent the critical temperature) are of course interaction dependent, and therefore using measurements of these quantities to calibrate densities in order to characterize interaction strengths is somewhat circular. Our directly measured value of (Formula presented) on the other hand, is based predominantly on measured spatial extent of the cloud and on an absolute determination of the absorption depth, and therefore it is only weakly model dependent. We quote the “worst-case corrected value” of (Formula presented) 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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Cornell, E.A.5
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21
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85037198160
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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 (Formula presented) pulse, which gives us the maximum signal to noise
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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 (Formula presented) pulse, which gives us the maximum signal to noise.
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22
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85037236400
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The quoted chirp limit of (Formula presented) includes a correction to account for a small frequency change associated with decay of total atom number during the measurement 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 (Formula presented) on average
-
The quoted chirp limit of (Formula presented) includes a correction to account for a small frequency change associated with decay of total atom number during the measurement 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 (Formula presented) on average.
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23
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85037243008
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Fitting the decay of the integrated transverse magnetization to (Formula presented) the same functional form as we fit to the actual experimental data, gives values typically within 5%, and at worst 12%, of the (Formula presented) time
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Fitting the decay of the integrated transverse magnetization to (Formula presented) the same functional form as we fit to the actual experimental data, gives values typically within 5%, and at worst 12%, of the (Formula presented) 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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