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Communications in Physics

Ripplon Modes of Two Segregated Bose-Einstein Condensates in Confined Geometry

Trân Hũu Phát, Hoàng Văn Quyết

Published Apr 12, 2016• 0 citations
Publisher

Abstract

The ripplon modes of two segregated Bose-Einstein condensates (BECs) confined by one and two hard walls are respectively studied by means of the hydrodynamic approach within the Gross-Pitaevskii (GP) theory. For the system at rest we find that due to the spatial restriction the dispersion relations are of the form \(\omega \sim {k^2}\) in low momentum limit for both cases, while for the system in motion parallel to the interface the dispersion relations for both cases are \(\omega \sim k\) at low momentum limit and, furthermore, the system becomes unstable.

DOI
10.15625/0868-3166/26/1/7790

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Nambu-Goldstone modes in immiscible two-component Bose-Einstein condensates are studied theoretically. In a uniform system, a flat domain wall is stabilized and then the translational invariance normal to the wall is spontaneously broken in addition to the breaking of two U(1) symmetries in the presence of two complex order parameters. We clarify the properties of the low-energy excitations and identify that there exist two Nambu-Goldstone modes: an in-phase phonon with a linear dispersion and a ripplon with a fractional dispersion. The signature of the characteristic dispersion can be verified in segregated condensates in a harmonic potential.
We present a study of binary mixtures of Bose–Einstein condensates confined in a double-well potential within the framework of the mean field Gross–Pitaevskii (GP) equation. We re-examine both the single component and the binary mixture cases for such a potential, and we investigate what are the situations in which a simpler two-mode approach leads to an accurate description of their dynamics. We also estimate the validity of the most usual dimensionality reductions used to solve the GP equations. To this end, we compare both the semi-analytical two-mode approaches and the numerical simulations of the one-dimensional (1D) reductions with the full 3D numerical solutions of the GP equation. Our analysis provides a guide to clarify the validity of several simplified models that describe mean-field nonlinear dynamics, using an experimentally feasible binary mixture of an F = 1 spinor condensate with two of its Zeeman manifolds populated, m = ±1.