https://doi.org/10.1140/epjb/e2005-00271-7
Modulational instability criteria for two-component Bose–Einstein condensates
1
Institut für Theoretische Physik IV,
Fakultät für Physik und Astronomie, Ruhr–Universität Bochum, 44780 Bochum, Germany
2
Department of Physics, Umeå University, 90187
Umeå, Sweden
Corresponding authors: a ioannis@tp4.rub.de - b ps@tp4.rub.de
Received:
13
April
2005
Revised:
12
May
2005
Published online:
18
August
2005
The stability of colliding Bose-Einstein condensates is investigated. A set of coupled Gross-Pitaevskii equations is thus considered, and analyzed via a perturbative approach. No assumption is made on the signs (or magnitudes) of the relevant parameters like the scattering lengths and the coupling coefficients. The formalism is therefore valid for asymmetric as well as symmetric coupled condensate wave states. A new set of explicit criteria is derived and analyzed. An extended instability region, in addition to an enhanced instability growth rate, is predicted for unstable two component bosons, as compared to the individual (uncoupled) state.
PACS: 03.75.Lm – Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices and topological excitations / 05.45.-a – Nonlinear dynamics and nonlinear dynamical systems / 67.40.Vs – Vortices and turbulence / 67.57.De – Superflow and hydrodynamics
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2005
