Attractive Bose-Einstein Condensates in three dimensions under rotation: Revisiting the problem of stability of the ground state in harmonic traps

Abstract

We study harmonically trapped ultracold Bose gases with attractive interparticle interactions under external rotation in three spatial dimensions and determine the critical value of the attraction strength where the gas collapses as a function of the rotation frequency. To this end we examine the stationary state in the corotating frame with a many-body approach as well as within the Gross-Pitaevskii theory of systems in traps with different anisotropies. In contrast to recently reported results [N. A. Jamaludin, N. G. Parker, and A. M. Martin, Phys. Rev. A \textbf{77}, 051603(R) (2008)], we find that the collapse is not postponed in the presence of rotation. Unlike repulsive gases, the properties of the attractive system remain practically unchanged under rotation in isotropic and slightly anisotropic traps.

15 pages, 1 figure, 1 table

References in corpus (8)

• The multi-configurational time-dependent Hartree method for bosons: Many-body dynamics of bosonic systems
• Fragmentation of Bose-Einstein Condensates
• Role of excited states in the splitting dynamics of interacting Bose-Einstein condensates when ramping-up a barrier
• General variational many-body theory with complete self-consistency for trapped bosonic systems
• Validity of the Lowest Landau Level Approximation for Rotating Bose Gases
• Formation and dynamics of many-boson fragmented states in attractive one-dimensional ultra-cold gases
• Fragmented Many-Body states of definite angular momentum and stability of attractive 3D Condensates
• Bright solitary waves of atomic Bose-Einstein condensates under rotation