Variational theory for the ground state and collective excitations of an elongated dipolar condensate
Abstract
We develop a variational theory for a dipolar condensate in an elongated (cigar shaped) confinement potential. Our formulation provides an effective one-dimensional extended meanfield theory for the ground state and its collective excitations. We apply our theory to investigate the properties of rotons in the system comparing the variational treatment to a full numerical solution. We consider the effect of quantum fluctuations on the scattering length at which the roton excitation softens to zero energy.
- Publication:
-
Communications in Theoretical Physics
- Pub Date:
- August 2020
- DOI:
- 10.1088/1572-9494/ab95fa
- arXiv:
- arXiv:2004.09859
- Bibcode:
- 2020CoTPh..72h5501B
- Keywords:
-
- dipolar Bose-Einstein condensate;
- ground states;
- collective excitations;
- Condensed Matter - Quantum Gases
- E-Print:
- 9 pages, 5 figures