Quantum swapping of immiscible Bose-Einstein condensates as an alternative to the Rayleigh-Taylor instability

Abstract

We consider a two-component Bose-Einstein condensate in a quasi-one-dimensional harmonic trap, where the immiscible components are pressed against each other by an external magnetic force. The zero-temperature non-stationary Gross-Pitaevskii equations are solved numerically; analytical models are developed for the key steps in the process. We demonstrate that if the magnetic force is strong enough, then the condensates may swap their places in the trap due to dynamic quantum interpenetration of the nonlinear matter waves. The swapping is accompanied by development of a modulational instability leading to quasi-turbulent excitations. Unlike the multidimensional Rayleigh-Taylor instability in a similar geometry of two-component quantum fluid systems, quantum interpenetration has no classical analogue. A crossover between the Rayleigh-Taylor instability and the quantum interpenetration in a two-dimensional geometry is demonstrated.

13 pages, 17 figures in reduced quality

References in corpus (8)

• Controlling phase separation of binary Bose-Einstein condensates via mixed-spin-channel Feshbach resonance
• Binary Quantum Turbulence Arising from Countersuperflow Instability in Two-Component Bose-Einstein Condensates
• Crossover between Kelvin-Helmholtz and counter-superflow instabilities in two-component Bose-Einstein condensates
• Capillary instability in a two-component Bose-Einstein condensate
• Magnetic Richtmyer-Meshkov instability in a two-component Bose-Einstein condensate
• The Rayleigh-Taylor instability and internal waves in quantum plasmas
• Interface dynamics of a two-component Bose-Einstein condensate driven by an external force
• Dynamics of bubbles in a two-component Bose-Einstein condensate

Cited by in corpus (9)

• Parametrically excited star-shaped patterns at the interface of binary Bose-Einstein condensates
• Faraday waves in collisionally inhomogeneous Bose-Einstein condensates
• Turbulence in Binary Bose-Einstein Condensates Generated by Highly Non-Linear Rayleigh-Taylor and Kelvin-Helmholtz Instabilities
• Pattern formation of quantum Kelvin-Helmholtz instability in binary superfluids
• Parametric resonance of capillary waves at the interface between two immiscible Bose-Einstein condensates
• Matter-wave solitons in the counterflow of two immiscible superfluids
• Capillary wave dynamics and interface structure modulation in binary Bose-Einstein condensate mixtures
• Faraday and Resonant Waves in Dipolar Cigar-Shaped Bose-Einstein Condensates
• Interface properties in three-component Bose-Einstein condensates