Quadrupole-scissors modes and nonlinear mode coupling in trapped two-component Bose-Einstein condensates
arXiv:cond-mat/0309539 · doi:10.1103/PhysRevA.69.043621
Abstract
We theoretically investigate quadrupolar collective excitations in two-component Bose-Einstein condensates and their nonlinear dynamics associated with harmonic generation and mode coupling. Under the Thomas-Fermi approximation and the quadratic polynomial ansatz for density fluctuations, the linear analysis of the superfluid hydrodynamic equations predicts excitation frequencies of three normal modes constituted from monopole and quadrupole oscillations, and those of three scissors modes. We obtain analytically the resonance conditions for the second harmonic generation in terms of the trap aspect ratio and the strength of intercomponent interaction. The numerical simulation of the coupled Gross-Pitaevskii equations vindicates the validity of the analytical results and reveals the dynamics of the second harmonic generation and nonlinear mode coupling that lead to nonlinear oscillations of the condensate with damping and recurrence reminiscent of the Fermi-Pasta-Ulam problem.
10 pages, 5 figures, revtex4
References in corpus (25)
- Theory of Bose-Einstein condensation in trapped gases
- Spin domains in ground state spinor Bose-Einstein condensates
- The dynamics of component separation in a binary mixture of Bose-Einstein condensates
- Many-particle entanglement with Bose--Einstein condensates
- Phase separation of Bose-Einstein condensates
- A two atomic species superfluid
- Observation of the scissors mode and superfluidity of a trapped Bose-Einstein condensed gas
- Structure of binary Bose-Einstein condensates
- Nonlinear dynamics for vortex lattice formation in a rotating Bose-Einstein condensate
- Scissors mode and superfluidity of a trapped Bose-Einstein condensed gas
- Collective oscillations of two colliding Bose-Einstein condensates
- Magnetic control of the interaction in ultracold K-Rb mixtures
- Stability and collective excitations of a two-component Bose-condensed gas: a moment approach
- Hartree-Fock treatment of the two-component Bose-Einstein condensate
- Topology of the ground state of two interacting Bose-Einstein condensates
- Excitation spectrum and instability of a two-species Bose-Einstein condensate
- The experimental observation of Beliaev damping in a Bose condensed gas
- Frequency shift and mode coupling in the nonlinear dynamics of a Bose condensed gas
- Dynamics of two interacting Bose-Einstein condensates
- Observation of harmonic generation and nonlinear coupling in the collective dynamics of a Bose condensate
- Normal modes and stability of phase separated trapped Bose-Einstein condensates
- Dynamics of two colliding Bose-Einstein condensates in an elongated magneto-static trap
- Interaction-driven effects on two-component Bose-Einstein condensates
- Calculation of mode coupling for quadrupole excitations in a Bose-Einstein condensate
- Nonlinear coupling between scissors modes of a Bose-Einstein condensate
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- Non-equilibrium Atomic Condensates and Mixtures: Collective Modes, Condensate Growth and Thermalization
- Beats and Expansion of Two-Component Bose-Einstein Condensates in the Thomas-Fermi Limit
- Collective Oscillations of Bose-Einstein Condensates in a Synthetic Magnetic Field
- Moving Bose mixtures with dipole-dipole interactions
- Stability change of a multi-charged vortex due to coupling with quadrupole mode