Dynamical Instabilities in a two-component Bose condensate in a 1d optical lattice

Abstract

In this paper we carry out a stability analysis of the Bloch states of a two-component Bose-Einstein condensate confined to a 1d optical lattice. We consider two concrete systems: a mixture of two hyperfine states of Rubidium-87 and a mixture of Sodium-23 and Rubidium-87. The former is seen to exhibit similar phenomena to a single component condensate while the latter also suffers an instability to phase separation at small Bloch wave vectors. It is shown that sufficiently deep optical lattices can remove this latter instability, potentially allowing imiscible cold atoms species to be held in intimate contact and transported within an experimental system.

14 Pages, 9 figures

References in corpus (3)

• Sonic black holes in dilute Bose-Einstein condensates
• Superfluidity of Bose-Einstein Condensate in An Optical Lattice: Landau-Zener Tunneling and Dynamical Instability
• Band structure, elementary excitations, and stability of a Bose-Einstein condensate in a periodic potential

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• Instabilities of a matter wave in a matter grating
• Instabilities of a Bose-Einstein condensate with mixed nonlinear and linear lattices
• Dynamical instability in the S=1 Bose-Hubbard model
• Interactions and Collisions of Discrete Breathers in Two-Species Bose-Einstein Condensates in Optical Lattices
• Analytical study on parameter regions of dynamical instability for two-component Bose--Einstein condensates with coaxial quantized vortices