Journal
PHYSICAL REVIEW A
Volume 80, Issue 5, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.80.053622
Keywords
Bose-Einstein condensation; harmonic oscillators; integro-differential equations
Categories
Funding
- NSF [PHY-0555316, PHY-0855332]
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We consider a Bose-Einstein condensate, which is characterized by long-range and anisotropic dipole-dipole interactions and vanishing s-wave scattering length, in a double-well potential. The properties of this system are investigated as functions of the height of the barrier that splits the harmonic trap into two halves, the number of particles (or dipole-dipole strength) and the aspect ratio lambda, which is defined as the ratio between the axial and longitudinal trapping frequencies omega(z) and omega(rho). The phase diagram is determined by analyzing the stationary mean-field solutions. Three distinct regions are found: a region where the energetically lowest lying stationary solution is symmetric, a region where the energetically lowest lying stationary solution is located asymmetrically in one of the wells, and a region where the system is mechanically unstable. For sufficiently large aspect ratio lambda and sufficiently high barrier height, the system consists of two connected quasi-two-dimensional sheets with density profiles whose maxima are located either at rho=0 or away from rho=0. The stability of the stationary solutions is investigated by analyzing the Bogoliubov-de Gennes excitation spectrum and the dynamical response to small perturbations. These studies reveal unique oscillation frequencies and distinct collapse mechanisms. The results derived within the mean-field framework are complemented by an analysis based on a two-mode model.
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