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The initial degeneracy of the Bloch bands (when the lattice depth is zero) at (Formula presented) ensures that an equal superposition is produced. This can be seen by projecting the initial wave function (Formula presented) onto the Bloch states (Formula presented) and (Formula presented) An equal superposition occurs regardless of the lattice switch-on time; however, it is convenient to rapidly switch on the lattice so that the phase between the eigenstates does not evolve significantly before the desired lattice depth is reached
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The initial degeneracy of the Bloch bands (when the lattice depth is zero) at (Formula presented) ensures that an equal superposition is produced. This can be seen by projecting the initial wave function (Formula presented) onto the Bloch states (Formula presented) and (Formula presented) An equal superposition occurs regardless of the lattice switch-on time; however, it is convenient to rapidly switch on the lattice so that the phase between the eigenstates does not evolve significantly before the desired lattice depth is reached.
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The tapered amplifier laser arrangement in 30 has been replaced by an injection-locking scheme, and atoms are now continuously transferred in the double magneto-optical trap (MOT) arrangement
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The tapered amplifier laser arrangement in 30 has been replaced by an injection-locking scheme, and atoms are now continuously transferred in the double magneto-optical trap (MOT) arrangement.
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