Split-merge cycle, fragmented collapse, and vortex disintegration in rotating Bose-Einstein condensates with attractive interactions

Journal Article · Thu Jan 01 04:00:00 EST 2004 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.69.013604· OSTI ID:20640631

Saito, Hiroki; Ueda, Masahito ^[1]

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1. Department of Physics, Tokyo Institute of Technology, Tokyo 152-8551 (Japan)

The dynamical instabilities and ensuing dynamics of singly and doubly quantized vortex states of Bose-Einstein condensates with attractive interactions are investigated using full three-dimensional numerical simulations of the Gross-Pitaevskii equation. With increasing the strength of attractive interactions, a series of dynamical instabilities such as quadrupole, dipole, octupole, and monopole instabilities emerge. The most prominent instability depends on the strength of interactions, the geometry of the trapping potential, and deviations from the axisymmetry due to external perturbations. Singly quantized vortices split into two clusters and subsequently undergo split-merge cycles in a pancake-shaped trap, whereas the split fragments immediately collapse in a spherical trap. Doubly quantized vortices are always unstable to disintegration of the vortex core. If we suddenly change the strength of interaction to within a certain range, the vortex splits into three clusters, and one of the clusters collapses after a few split-merge cycles. The vortex split can be observed using a current experimental setup of Leanhardt et al. [Phys. Rev. Lett. 89, 190403 (2002)].

• OSTI ID: 20640631
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 1 Vol. 69; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
BOSE-EINSTEIN CONDENSATION
COMPUTERIZED SIMULATION
DIPOLES
DISTURBANCES
GEOMETRY
INSTABILITY
NUMERICAL ANALYSIS
OCTUPOLES
POTENTIALS
QUADRUPOLES
RUBIDIUM
SODIUM
SPHERICAL CONFIGURATION
THREE-DIMENSIONAL CALCULATIONS
TRAPPING
TRAPS
VORTICES
WAVE EQUATIONS