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arXiv:1103.0383 · Physical Review A

Capillary instability in a two-component Bose-Einstein condensate

Kazuki Sasaki, Naoya Suzuki, Hiroki Saito

Published May 3, 2011• 54 citations
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Abstract

Capillary instability and the resulting dynamics in an immiscible two-component Bose-Einstein condensate are investigated using the mean-field and Bogoliubov analyses. A long, cylindrical condensate surrounded by the other component is dynamically unstable against breakup into droplets due to the interfacial tension arising from the quantum pressure and interactions. A heteronuclear system confined in a cigar-shaped trap is proposed for realizing this phenomenon experimentally.

DOI
10.1103/physreva.83.053606

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Capillary instability and the resulting dynamics in an immiscible two-component Bose-Einstein condensate are investigated using the mean-field and Bogoliubov analyses. A long, cylindrical condensate surrounded by the other component is dynamically unstable against breakup into droplets due to the interfacial tension arising from the quantum pressure and interactions. A heteronuclear system confined in a cigar-shaped trap is proposed for realizing this phenomenon experimentally.
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In classical fluids, surfactants enter the interface between two immiscible fluids and reduce the interfacial tension. We show that a similar situation can be realized in a three-component Bose-Einstein condensate (BEC), in which a phase-separated two-component BEC forms an interface and the third component enters the interface. We derive an expression for the interfacial tension of this system, and numerically show that the third component can reduce the interfacial tension, i.e., the third component plays the role of a surfactant. The stability of such an interface is corroborated by the Bogoliubov analysis. We also consider a system that has a spatial gradient in the interfacial tension, and we show that interfacial flow is induced, which resembles the Marangoni flow in classical fluids.
Three-component Bose-Einstein condensates (BECs) offer a rich platform for exploring inquisitive quantum phenomena. We investigate the Rayleigh-Taylor instability at the two interfaces in a phase-separated three-component BEC in the mean-field framework. The instability in the system can be instigated in various ways owing to the versatility of the three-component system and the subsequent dynamics for certain cases has been studied in detail. We also study the impact of immiscibility of the intermediate component on the onset of instability in the system. The rotational symmetry of the system breaks when the atom-atom interaction is tuned in such a way that the interface between the components becomes unstable giving rise to nonlinear patterns of mushroom shapes which grow exponentially with time. We identify these nonlinear patterns as the solutions of the angular Mathieu equation, representing the normal modes.
The stability of persistent currents in a two-component Bose-Einstein condensate in a toroidal trap is studied in both the miscible and the immiscible regimes. In the miscible regime we show that superflow decay is related to linear instabilities of the spin-density Bogoliubov mode. We find a region of partial stability, where the flow is stable in the majority component while it decays in the minority component. We also characterize the dynamical instability appearing for a large relative velocity between the two components. In the immiscible regime the stability criterion is modified and depends on the specific density distribution of the two components. The effect of a coherent coupling between the two components is also discussed.