Interface dynamics of a two-component Bose-Einstein condensate driven by an external force
arXiv:1101.5998 · doi:10.1103/PhysRevA.83.043623
Abstract
The dynamics of an interface in a two-component Bose-Einstein condensate driven by a spatially uniform time-dependent force is studied. Starting from the Gross-Pitaevskii Lagrangian, the dispersion relation for linear waves and instabilities at the interface is derived by means of a variational approach. A number of diverse dynamical effects for different types of the driving force is demonstrated, which includes the Rayleigh-Taylor instability for a constant force, the Richtmyer-Meshkov instability for a pulse force, dynamic stabilization of the Rayleigh-Taylor instability and onset of the parametric instability for an oscillating force. Gaussian Markovian and non-Markovian stochastic forces are also considered. It is found that the Markovian stochastic force does not produce any average effect on the dynamics of the interface, while the non-Markovian force leads to exponential perturbation growth.
13 pages, 12 figures
References in corpus (2)
Cited by in corpus (25)
- Symmetry breaking Rayleigh-Taylor instability in a two-component Bose-Einstein condensate
- Static interfacial properties of Bose-Einstein condensate mixtures
- Parametrically excited star-shaped patterns at the interface of binary Bose-Einstein condensates
- Nambu-Goldstone bosons with fractional-power dispersion relations
- Kelvin-Helmholtz instability in an atomic superfluid
- Splitting of singly and doubly quantized composite vortices in two-component Bose-Einstein condensates
- Fingering instabilities and pattern formation in a two-component dipolar Bose-Einstein condensate
- Nambu-Goldstone Modes Propagating along Topological Defects: Kelvin and Ripple Modes from Small to Large Systems
- Nambu-Goldstone modes in segregated Bose-Einstein condensates
- Turbulence in Binary Bose-Einstein Condensates Generated by Highly Non-Linear Rayleigh-Taylor and Kelvin-Helmholtz Instabilities
- Critical wetting, first-order wetting and prewetting phase transitions in binary mixtures of Bose-Einstein condensates
- Pattern formation of quantum Kelvin-Helmholtz instability in binary superfluids
- Parametric resonance of capillary waves at the interface between two immiscible Bose-Einstein condensates
- Dynamics of phase separation in two species Bose-Einstein condensates with vortices
- Capillary wave dynamics and interface structure modulation in binary Bose-Einstein condensate mixtures
- Domain wall suppression in trapped mixtures of Bose-Einstein condensates
- Quantum swapping of immiscible Bose-Einstein condensates as an alternative to the Rayleigh-Taylor instability
- Interface properties in three-component Bose-Einstein condensates
- Rayleigh-Taylor instability in a phase-separated three-component Bose-Einstein condensate
- Suppression of the superfluid Kelvin-Helmholtz instability due to massive vortex cores, friction and confinement
- The Rayleigh-Taylor instability in a binary quantum fluid
- Dynamics of binary Bose-Einstein condensate via Ehrenfest like equations: Appearance of almost shape invariant states
- Rayleigh-Taylor, Kelvin-Helmholtz and immiscible to miscible quenching instabilities in binary Bose-Einstein condensates
- Three-component Bose-Einstein condensates and wetting without walls
- An efficient spectral method for computing dynamics of rotating two-component Bose--Einstein condensates via coordinate transformation