Non-integral form of the Gross-Pitaevskii equation for polarized molecules
arXiv:1302.3357 · doi:10.1142/S0217984913500966
Abstract
The Gross-Pitaevskii equation for polarized molecules is an integro-differential equation, consequently it is complicated for solving. We find a possibility to represent it as a non-integral nonlinear Schrodinger equation, but this equation should be coupled with two linear equations describing electric field. These two equations are the Maxwell equations. We recapture the dispersion of collective excitations in the three dimensional electrically polarized BEC with no evolution of the electric dipole moment directions. We trace the contribution of the electric dipole moment. We explicitly consider the contribution of the electric dipole moment in the interaction constant for the short-range interaction. We show that the spectrum of dipolar BEC reveals no instability at repulsive short-range interaction. Nonlinear excitations are also considered. We present dependence of the bright soliton characteristics on the electric dipole moment.
7 pages. arXiv admin note: text overlap with arXiv:1107.2029
References in corpus (5)
- Condensed Matter Theory of Dipolar Quantum Gases
- Radial and angular rotons in trapped dipolar gases
- Stability of quasi-two-dimensional Bose-Einstein condensates with dominant dipole-dipole interactions
- Roton immiscibility in a two-component dipolar Bose gas
- Instabilities and the roton spectrum of a quasi-1D Bose-Einstein condensed gas with dipole-dipole interactions