Dipole-dipole interactions in optical lattices do not follow an inverse cube power law
We study the effective dipole-dipole interactions in ultracold quantum gases on optical lattices as a function of asymmetry in confinement along the principal axes of the lattice. In particular, we study the matrix elements of the dipole-dipole interaction in the basis of lowest band Wannier functio...
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| Main Authors: | , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
5 December 2013
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| In: |
New journal of physics
Year: 2013, Volume: 15, Issue: 12, Pages: 1-22 |
| ISSN: | 1367-2630 |
| DOI: | 10.1088/1367-2630/15/12/123005 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1088/1367-2630/15/12/123005
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| Author Notes: | M.L. Wall and L.D. Carr |
| Summary: | We study the effective dipole-dipole interactions in ultracold quantum gases on optical lattices as a function of asymmetry in confinement along the principal axes of the lattice. In particular, we study the matrix elements of the dipole-dipole interaction in the basis of lowest band Wannier functions which serve as a set of low-energy states for many-body physics on the lattice. We demonstrate that, for shallow lattices in quasi-reduced dimensional scenarios, the effective interaction between dipoles in an optical lattice is non-algebraic in the inter-particle separation at short to medium distance on the lattice scale and has a long-range power-law tail, in contrast to the pure power-law behavior of the dipole-dipole interaction in free space. The modifications to the free-space interaction can be sizable; we identify differences of up to 36% from the free-space interaction at the nearest-neighbor distance in quasi-one-dimensional arrangements. The interaction difference depends essentially on asymmetry in confinement, due to the d-wave anisotropy of the dipole-dipole interaction. Our results do not depend on statistics, applying to both dipolar Bose-Einstein condensates and degenerate Fermi gases. Using matrix product state simulations, we demonstrate that use of the correct lattice dipolar interaction leads to significant deviations from many-body predictions using the free-space interaction. Our results are relevant to up and coming experiments with ultracold heteronuclear molecules, Rydberg atoms and strongly magnetic atoms in optical lattices. |
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| Item Description: | Gesehen am 27.09.2021 |
| Physical Description: | Online Resource |
| ISSN: | 1367-2630 |
| DOI: | 10.1088/1367-2630/15/12/123005 |