Rotational pendulum dynamics of a vortex molecule in a channel geometry
arXiv:2207.05893 · doi:10.1103/PhysRevA.106.043319
Abstract
A vortex molecule is a topological excitation in two coherently coupled superfluids consisting of a vortex in each superfluid connected by a domain wall of the relative phase, also known as a Josephson vortex. We investigate the dynamics of this excitation in a quasi-two-dimensional geometry with slab or channel boundary conditions using an extended point vortex framework complemented by Gross-Pitaevskii simulations. Apart from translational motion along the channel, the vortex molecule is found to exhibit intriguing internal dynamics including rotation and rotational-pendulum-like dynamics. Trajectories leading to a boundary-induced break-up of the vortex molecule are also described qualitatively by the simplified model. We classify the stable and unstable fixed points as well as separatrices that characterize the vortex molecule dynamics.
arXiv comment11 pages, 9 figures
References in corpus (39)
- Vortices in a Bose-Einstein Condensate
- Emergence of coherence in a uniform quasi-two-dimensional Bose gas
- On solving quantum many-body problems by experiment
- On the stability of standing matter waves in a trap
- Heavy Solitons in a Fermionic Superfluid
- Observation of Solitonic Vortices in Bose-Einstein Condensates
- Domain walls of relative phase in two-component Bose-Einstein condensates
- Svortices and the fundamental modes of the "snake instability": Possibility of observation in the gaseous Bose-Einstein Condensate
- Vortex molecules in coherently coupled two-component Bose-Einstein condensates
- Motion of a Solitonic Vortex in the BEC-BCS Crossover
- Stabilization of Solitons Generated by a Supersonic Flow of Bose-Einstein Condensate Past an Obstacle
- Generating ring currents, solitons, and svortices by stirring a Bose-Einstein condensate in a toroidal trap
- Crossover between integer and fractional vortex lattices in coherently coupled two-component Bose-Einstein condensates
- Solitons, solitonic vortices, and vortex rings in a confined Bose-Einstein condensate
- Controlled vortex-sound interactions in atomic Bose-Einstein condensates
- Vortices with massive cores in a binary mixture of Bose-Einstein condensates
- Fate of the false vacuum: towards realization with ultra-cold atoms
- Confinement and precession of vortex pairs in coherently coupled Bose-Einstein condensates
- Dynamics of massive point vortices in binary mixture of Bose-Einstein condensates
- Inelastic Collisions of Solitary Waves in Anisotropic Bose-Einstein Condensates: Sling-Shot Events and Expanding Collision Bubbles
- Atomic Josephson vortex
- Short range inter-vortex interaction and interacting dynamics of half-quantized vortices in two-component Bose-Einstein condensates
- Confinement of Half-quantized Vortices in Coherently Coupled Bose-Einstein Condensates: Simulating Quark Confinement in QCD
- Structure of vortices in two-component Bose-Einstein condensates
- Split vortices in optically coupled Bose-Einstein condensates
- Vortex dynamics in coherently coupled Bose-Einstein condensates
- Two-mode theory of vortex stability in multicomponent Bose-Einstein condensates
- Vortex states in binary mixture of Bose-Einstein condensates
- Stability and dispersion relations of three-dimensional solitary waves in trapped Bose-Einstein condensates
- Sign of tunnel coupling in barrier-separated Bose-Einstein condensates and stability of double-ring systems
- Quasiparticles of widely tuneable inertial mass: The dispersion relation of atomic Josephson vortices and related solitary waves
- Manipulation of an elongated internal Josephson junction of bosonic atoms
- Magnetic defects in an unbalanced mixture of two Bose-Einstein condensates
- Transverse instability and disintegration of domain wall of relative phase in coherently coupled two-component Bose-Einstein condensates
- Decay of the relative phase domain wall into confined vortex pairs: the case of a coherently coupled bosonic mixture
- Collision dynamics and reactions of fractional vortex molecules in coherently coupled Bose-Einstein condensates
- Nonlinear dressed states at the miscibility-immiscibility threshold
- Quantum-torque-induced breaking of magnetic interfaces in ultracold gases
- Exactly solvable model for a solitonic vortex in a compressible superfluid