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9544241000
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note
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In an infinite system these states are not square-integrable and are therefore often labeled as quasi stationary states or resonances.
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11
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9544250014
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note
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This is not strictly true because the lattice height varies across the beam diameter, thus coupling the motion along the lattice with the radial motion.
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12
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9544221301
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note
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Care has to be taken in calculating the momentum spread of a Fermi gas in the direction of the lattice. Because of the θ-function shaped Fermi distribution the integration over the two radial directions leads to a momentum spread which is effectively smaller than the Fermi momentum.
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13
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9544229374
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note
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Because a tilted periodic potential does not posses an abolute potential minimum one cannot define a ground state of the system. Consequently a condensate which is loaded into such kind of potential is never in equilibrium and cannot be described with a single stationary wave function. In fact the experimental observation directly proves this non-stationarity.
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