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We introduce an approach to describe quantum-coherent evolution of a system of cold atoms in an optical lattice triggered by a change in superlattice potential.
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The z z -component S k z S^{z}_{k} is related to the density of particles with momentum k k by ⟨ n ( k ) ⟩ = 1 2 − S k z \langle n(k)\rangle=\frac{1}{2}-S^{z}_{k} for − π / 2 ≤ k < π / 2 -\pi/2\leq k<\pi/2 and by ⟨ n ( k ) ⟩ = 1 2 + S k + π z \langle n(k)\rangle=\frac{1}{2}+S^{z}_{k+\pi} otherwise
Cited in the paper.
R. A. Barankov, L. S. Levitov, Phys. Rev. Lett. 96
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S. Fölling et al
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