Adiabatic sweep theorem for three-dimensional dipolar Bose gases

Abstract

The variational theorem for the scattering length in the presence of the dipole-dipole interaction is developed. The theorem is applied to the spinless dipolar Bose gas in three dimensions. We calculated analytically the long-range tails of the single-particle momentum distribution and static structure factor, and the pair distribution function at short distances. The momentum distribution is inversely proportional to $q^4$ with the anisotropic prefactor. In the absence of the dipole-dipole interaction, Tan's adiabatic sweep theorem is reproduced as a particular case. For the homogeneous dilute Bose gas, all the relations are calculated analytically.

8 pages, 1 figure, misprints corrected

References in corpus (11)

• New frontiers with quantum gases of polar molecules
• Number of closed-channel molecules in the BEC-BCS crossover
• Two-dimensional dynamics of expansion of a degenerate Bose gas
• Mean-field expansion in Bose-Einstein condensates with finite-range interactions
• Dipolar Bose-Einstein condensates with dipole-dependent scattering length
• Virial theorems for trapped cold atoms
• Strongly correlated Bose gases
• The Efimov effect for three interacting bosonic dipoles
• Low-density expansions for the homogeneous dipolar Bose gas at zero temperature
• Tan's adiabatic sweep theorem from the variational theorem for the scattering length
• The variational theorem for the scattering length in low dimensions and its applications to universal systems