Collective modes and the broken symmetry of a rotating attractive Bose gas in an anharmonic trap

Abstract

We study the rotational properties of an attractively interacting Bose gas in a quadratic + quartic potential. The low-lying modes of both rotational ground state configurations, namely the vortex and the center of mass rotating states, are solved. The vortex excitation spectrum is positive for weak interactions but the lowest modes decrease rapidly to negative values when the interactions become stronger. The broken rotational symmetry involved in the center of mass rotating state induces the appearance of an extra zero-energy mode in the Bogoliubov spectrum. The excitations of the center of mass rotational state also demonstrate the coupling between the center of mass and relative motions.

4 pages, 3 eps figures (2 in color) v2: changes in Title, all figures, in text (especially in Sec III) and in References

References in corpus (8)

• Vortices and Superfluidity in a Strongly Interacting Fermi Gas
• Observation of Long-lived Vortex Aggregates in Rapidly Rotating Bose-Einstein Condensates
• Symmetry Breaking and Enhanced Condensate Fraction in a Matter-Wave Bright Soliton
• Stability of the quantized circulation of an attractive Bose-Einstein condensate in a rotating torus
• Rotational states of Bose gases with attractive interactions in anharmonic traps
• Rotating Bose-Einstein condensates with attractive interactions
• Effectively attractive Bose-Einstein condensates in a rotating toroidal trap
• Center of mass rotation and vortices in an attractive Bose gas

Cited by in corpus (8)

• The variety of stable vortical solitons in Ginzburg-Landau media with radially inhomogeneous losses
• Nonlinear modes and symmetry breaking in rotating double-well potentials
• Exact diagonalization results for an anharmonically trapped Bose-Einstein condensate
• Localized matter-waves patterns with attractive interaction in rotating potentials
• Enhanced many-body effects in the excitation spectrum of a weakly-interacting rotating Bose-Einstein condensate
• Bright solitary waves of atomic Bose-Einstein condensates under rotation
• Breathing mode frequencies of a rotating Fermi gas in the BCS-BEC crossover region
• Many-body effects in the excitations and dynamics of trapped Bose-Einstein condensates