### Abstract

We present a many-body theory of the dipole-dipole interaction in three-dimensional optical lattices generated by a four-beam configuration, specializing to the case of J_{g}=1/2→J_{e}=3/2 transitions. We construct a many-body interaction Hamiltonian in coordinate representation for an antiferromagnetic fee optical lattice, the Schrödinger field operators being expanded on a basis of Wannier functions. We discuss the main characteristics of the dipole-dipole matrix elements giving rise to bound-bound and bound-free atom interactions in the lattice. Because of the anisotropy of the dipole-dipole interaction, specific directions can be favored for transport and scattering processes. Furthermore, since the dipole-dipole interaction depends on atomic magnetic quantum numbers, the dipole-dipole potential resembles a spin-dependent potential, and can give rise to atomic hopping with simultaneous change in the magnetic quantum number.

Original language | English (US) |
---|---|

Pages (from-to) | 1139-1148 |

Number of pages | 10 |

Journal | Physical Review A |

Volume | 57 |

Issue number | 2 |

State | Published - Feb 1998 |

### Fingerprint

### ASJC Scopus subject areas

- Physics and Astronomy(all)
- Atomic and Molecular Physics, and Optics

### Cite this

*Physical Review A*,

*57*(2), 1139-1148.

**Dynamical effects of the dipole-dipole interaction in three-dimensional optical lattices.** / Guzmán, A. M.; Meystre, Pierre.

Research output: Contribution to journal › Article

*Physical Review A*, vol. 57, no. 2, pp. 1139-1148.

}

TY - JOUR

T1 - Dynamical effects of the dipole-dipole interaction in three-dimensional optical lattices

AU - Guzmán, A. M.

AU - Meystre, Pierre

PY - 1998/2

Y1 - 1998/2

N2 - We present a many-body theory of the dipole-dipole interaction in three-dimensional optical lattices generated by a four-beam configuration, specializing to the case of Jg=1/2→Je=3/2 transitions. We construct a many-body interaction Hamiltonian in coordinate representation for an antiferromagnetic fee optical lattice, the Schrödinger field operators being expanded on a basis of Wannier functions. We discuss the main characteristics of the dipole-dipole matrix elements giving rise to bound-bound and bound-free atom interactions in the lattice. Because of the anisotropy of the dipole-dipole interaction, specific directions can be favored for transport and scattering processes. Furthermore, since the dipole-dipole interaction depends on atomic magnetic quantum numbers, the dipole-dipole potential resembles a spin-dependent potential, and can give rise to atomic hopping with simultaneous change in the magnetic quantum number.

AB - We present a many-body theory of the dipole-dipole interaction in three-dimensional optical lattices generated by a four-beam configuration, specializing to the case of Jg=1/2→Je=3/2 transitions. We construct a many-body interaction Hamiltonian in coordinate representation for an antiferromagnetic fee optical lattice, the Schrödinger field operators being expanded on a basis of Wannier functions. We discuss the main characteristics of the dipole-dipole matrix elements giving rise to bound-bound and bound-free atom interactions in the lattice. Because of the anisotropy of the dipole-dipole interaction, specific directions can be favored for transport and scattering processes. Furthermore, since the dipole-dipole interaction depends on atomic magnetic quantum numbers, the dipole-dipole potential resembles a spin-dependent potential, and can give rise to atomic hopping with simultaneous change in the magnetic quantum number.

UR - http://www.scopus.com/inward/record.url?scp=0032003263&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0032003263&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0032003263

VL - 57

SP - 1139

EP - 1148

JO - Physical Review A

JF - Physical Review A

SN - 2469-9926

IS - 2

ER -