Analytical study of parameter regions of dynamical instability for twocomponent BoseEinstein condensates with coaxial quantized vortices
Abstract
The dynamical instability of weakly interacting twocomponent BoseEinstein condensates with coaxial quantized vortices is analytically investigated in a twodimensional isotopic harmonic potential. We examine whether complex eigenvalues appear on the Bogoliubovde Gennes equation, implying dynamical instability. Rather than solving the Bogoliubovde Gennes equation numerically, we rely on a perturbative expansion with respect to the coupling constant which enables a simple, analytic approach. For each pair of winding numbers and for each magnetic quantum number, the ranges of intercomponent coupling constant where the system is dynamically unstable are exhaustively obtained. Corotating and counterrotating systems show distinctive behaviors. The latter is much more complicated than the former with respect to dynamical instability, particularly because radial excitations contribute to complex eigenvalues in counterrotating systems.
 Publication:

Physical Review A
 Pub Date:
 April 2016
 DOI:
 10.1103/PhysRevA.93.043622
 arXiv:
 arXiv:1603.02450
 Bibcode:
 2016PhRvA..93d3622H
 Keywords:

 Condensed Matter  Quantum Gases
 EPrint:
 10 pages, 6 figures