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

A. M. Guzmán, Pierre Meystre

Research output: Contribution to journalArticle

14 Citations (Scopus)

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 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.

Original languageEnglish (US)
Pages (from-to)1139-1148
Number of pages10
JournalPhysical Review A
Volume57
Issue number2
StatePublished - Feb 1998

Fingerprint

dipoles
interactions
quantum numbers
operators
anisotropy
matrices
configurations
scattering
atoms

ASJC Scopus subject areas

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

Cite this

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

In: Physical Review A, Vol. 57, No. 2, 02.1998, p. 1139-1148.

Research output: Contribution to journalArticle

@article{fa1471b986eb4948a83ed3f707b55bdf,
title = "Dynamical effects of the dipole-dipole interaction in three-dimensional optical lattices",
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 Jg=1/2→Je=3/2 transitions. We construct a many-body interaction Hamiltonian in coordinate representation for an antiferromagnetic fee optical lattice, the Schr{\"o}dinger 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.",
author = "Guzm{\'a}n, {A. M.} and Pierre Meystre",
year = "1998",
month = "2",
language = "English (US)",
volume = "57",
pages = "1139--1148",
journal = "Physical Review A",
issn = "2469-9926",
publisher = "American Physical Society",
number = "2",

}

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 -