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The longitudinal oscillation time in the FORT is ∼450 ms, which is sufficiently long so longitudinal motion will not play a role in our experiment, since it is suppressed by the multiple-π technique. Therefore in the following |n〈 refers to eigen-states of the transverse motion.
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4444313019
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note
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The trap in the experiment reported here is ∼4.5 times deeper than the trap used in Ref. [4], hence the echo coherence time is shorter. The Ramsey decoherence time, which is determined mainly by the temperature of the atoms, is almost equal.
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17
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4444377066
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note
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F population difference of the former is roughly half that of the latter.
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