Radial and angular rotons in trapped dipolar gases

Abstract

We study Bose-Einstein condensates with purely dipolar interactions in oblate (pancake) traps. We find that the condensate always becomes unstable to collapse when the number of particles is sufficiently large. We analyze the instability, and find that it is the trapped-gas analogue of the ``roton-maxon'' instability previously reported for a gas that is unconfined in two dimensions. In addition, we find that under certain circumstances, the condensate wave function attains a biconcave shape, with its maximum density away from the center of the gas. These biconcave condensates become unstable due to azimuthl excitation - an angular roton.

4 pages, 3 figures

References in corpus (24)

• Quantum computation with trapped polar molecules
• Bose-Einstein condensation in trapped dipolar gases
• Quantum phases of dipolar bosons in optical lattices
• Roton-maxon spectrum and stability of trapped dipolar condensates
• Observation of dipole-dipole interaction in a degenerate quantum gas
• Trapped atomic condensates with anisotropic interactions
• Trapped condensates of atoms with dipole interactions
• Ground state and elementary excitations of single and binary Bose-Einstein condensates of trapped dipolar gases
• Bogoliubov modes of a dipolar condensate in a cylindrical trap
• Stability of quasi-two-dimensional Bose-Einstein condensates with dominant dipole-dipole interactions
• Rotons in gaseous Bose-Einstein condensates irradiated by a laser
• Exact hydrodynamics of a trapped dipolar Bose-Einstein condensate
• Observation of Feshbach resonances in an ultracold gas of ${}^{52}$Cr
• Creation of a dipolar superfluid in optical lattices
• Ultracold dipolar gases - a challenge for experiments and theory
• On an exact solution of the Thomas-Fermi equation for a trapped Bose-Einstein condensate with dipole-dipole interactions
• Vortex Lattices in Rotating Atomic Bose Gases with Dipolar Interactions
• Novel vortex structures in dipolar condensates
• "Supersolid" self-bound Bose condensates via laser-induced interatomic forces
• Dipolar Bose-Einstein condensates with dipole-dependent scattering length
• Dipolar Bose gases: Many-body versus mean-field description
• Probing dipolar effects with condensate shape oscillation
• Bose-Einstein condensation of trapped atoms with dipole interactions
• Depletion of a Bose-Einstein condensate by laser-iduced dipole-dipole interactions

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