Rayleigh-Taylor, Kelvin-Helmholtz and immiscible to miscible quenching instabilities in binary Bose-Einstein condensates

Abstract

We investigate three kinds of instabilities in binary immiscible homogeneous Bose-Einstein condensate, considering rubidium isotopes ${}^{85}$Rb and ${}^{87}$Rb confined in two-dimensional circular box. Rayleigh-Taylor (RT) and Kelvin-Helmholtz (KH) instability types are studied under strong perturbations. Without external perturbation, instabilities are also probed by immiscible to miscible quenching transition (IMQT), under two different initial configurations. Our numerical simulations show that all such instability dynamics are dominated by large vortex productions and sound-wave (phonon) propagations. For long-term propagation, vortex dynamics become dominant over sound waves in the KH instability, while sound wave excitations predominate in the other cases. For all the dynamical simulations, the emergence of possible scaling laws are investigated for the compressible and incompressible parts of the kinetic energy spectra, in terms of the wave number $k$. The corresponding results are compared with the classical Kolmogorov scalings, $k^{-5/3}$ and $k^{-3}$, for turbulence, which are observed in the kinetic energy spectra at some specific time intervals. Deviating from the classical scaling, a kind of ``Bottleneck effect" is noticed in the IMQT spectra.

26 pages, 14 figures, supplemented by 4 mp4 files

References in corpus (27)

• Emergence of turbulence in an oscillating Bose-Einstein condensate
• Emergence of a Turbulent Cascade in a Quantum Gas
• Dual-Species Bose-Einstein Condensate of ${}^{87}$Rb and ${}^{133}$Cs
• Relaxation of superfluid turbulence in highly oblate Bose-Einstein condensates
• Observation of Bose-Einstein Condensation of Dipolar Molecules
• Bottleneck crossover between classical and quantum superfluid turbulence
• Inverse Energy Cascade in Forced 2D Quantum Turbulence
• Oblique dark solitons in supersonic flow of a Bose-Einstein condensate
• Energy spectra of vortex distributions in two-dimensional quantum turbulence
• Identifying a superfluid Reynolds number via dynamical similarity
• Crystallization of Bosonic Quantum Hall States
• Hidden vortices in a Bose-Einstein condensate in a rotating double-well potential
• Connecting shear-flow and vortex array instabilities in annular atomic superfluids
• Turbulent relaxation to equilibrium in a two-dimensional quantum vortex gas
• Pattern formation of quantum Kelvin-Helmholtz instability in binary superfluids
• Quantum turbulence simulations using the Gross-Pitaevskii equation: high-performance computing and new numerical benchmarks
• Spectral analysis for compressible quantum fluids
• Decay of two-dimensional quantum turbulence in binary Bose-Einstein condensates
• Vortex generation in stirred binary Bose-Einstein condensates
• Kolmogorov turbulence in atomic Bose-Einstein condensates
• Observation of an Inverse Turbulent-Wave Cascade in a Driven Quantum Gas
• Suppression of the superfluid Kelvin-Helmholtz instability due to massive vortex cores, friction and confinement
• Rayleigh-Taylor instability in a phase-separated three-component Bose-Einstein condensate
• Mass-imbalanced Bose-Einstein condensed mixtures in rotating perturbed trap
• Regimes of Steady-State Turbulence in a Quantum Fluid
• Biased dynamics of the miscible-immiscible quantum phase transition in a binary Bose-Einstein condensate
• Spatial and Temporal Periodic Density Patterns in Driven Bose-Einstein Condensates

Cited by in corpus (1)

• Spontaneous Quantum Turbulence in a Newborn Bose-Einstein Condensate via the Kibble-Zurek Mechanism