Abstract
The hopping of atoms between lattice sites and matter-wave diffraction, both caused by the quantum dipole-dipole interaction in antiferromagnetic optical lattices, are described here by means of two alternative and complementary physical pictures: Wannier and Bloch representations. From dipole-dipole matrix elements in the Wannier representation we infer favored hopping between sublattice sites and alignment of confined atoms on strings parallel to the quantization axis. In the Bloch representation, differential cross-sections for scattering in one-dimensional optical lattices result in spin-polarized diffraction patterns. Scattering processes without spin-flip give rise to atomic Bragg diffraction, whereas, because of total angular momentum conservation, changes in the total magnetic quantum number lead to suppression of forward and Bragg scattering.
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Guzmán, A., Zapata, J. (2001). Optical Lattice Dynamics and Scattering Processes Resulting from Dipole-Dipole Interaction. In: Orszag, M., Retamal, J.C. (eds) Modern Challenges in Quantum Optics. Lecture Notes in Physics, vol 575. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45409-8_14
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DOI: https://doi.org/10.1007/3-540-45409-8_14
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