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19544378628
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note
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In principle, it is possible to observe the transition from photon antibunching to photon bunching even from two atoms by reducing the observation angle aperture. But in our case, due to weak localization of the atoms it would mean a reduction of the count rate far below the dark count rate
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25
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0001672013
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(2)(τ) in the case of multilevel ion fluorescence see M. Schubert, I. Siemers, R. Blatt, W. Neuhauser, P. Toschek: Phys. Rev. A 52, 2994 (1995)
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30
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19544393466
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note
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Although the MOT light-field interference pattern strongly depends on the relative time phases between three standing waves, the measured time phase fluctuations are in the acoustic region (below a few kHz). Therefore at μs time scales an atom sees a well defined optical lattice
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19544361957
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note
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Partial depolarization due to the Hanle effect in the magnetic field is significant only for displacements from the trap center larger than 100 μm and can be neglected here
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32
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19544364406
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note
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(2) (τ)
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33
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0001248932
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37
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19544373063
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note
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This corresponds to a certain choice for the origin of space and time
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38
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19544385020
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note
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Note that the z corkscrew has a different handedness to the other two because of the quadrupole nature of the MOT magnetic field
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39
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4243815014
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K. Mølmer: Phys. Rev. A 44, 5820 (1991); A.M. Steane, M. Chowdhury, C.J. Foot: J. Opt. Soc. Am. B 9, 2142 (1992); Y. Castin, K. Mølmer: Phys. Rev. Lett. 74, 3772 (1995)
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43
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19544385191
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note
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The dynamics of the trapped atom number (time scale of seconds/ minutes) will be discussed elsewhere
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