### Abstract

We have studied numerically the Hamiltonian dynamics of two same-sign point vortices in an effectively two-dimensional, harmonically trapped Bose-Einstein condensate. We have found in the phase space of the system an impenetrable wall that divides the dynamics into two distinct and exhaustive types. In the two-dimensional position-coordinate space, the first type corresponds to intersecting single-vortex orbits and the second type to orbits that have no points in common. The two types are also easily distinguished in the two-dimensional space spanned by the radial and angular velocities of the vortices: In the first type, both single-vortex orbits are the same simple loop in this two-dimensional space, whereas in the second type the two orbits constitute two nonintersecting loops. The phase-space-dividing wall is distinct from the bifurcation curve of rigidly rotating states found by Navarro et al.

Original language | English |
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Article number | 033649 |

Number of pages | 8 |

Journal | Physical Review A |

Volume | 93 |

Issue number | 3 |

DOIs | |

Publication status | Published - 29 Mar 2016 |

## Cite this

*Physical Review A*,

*93*(3), [033649]. https://doi.org/10.1103/PhysRevA.93.033649