Collective modes in multicomponent condensates with anisotropy

Abstract

We report the effects of anisotropy in the confining potential on two component Bose-Einstein condensates (TBECs) through the properties of the low energy quasiparticle excitations. Starting from generalized Gross Pitaevskii equation, we obtain the Bogoliubov de-Gennes (BdG) equation for TBECs using the Hartree-Fock-Bogoliubov (HFB) theory. Based on this theory, we present the influence of radial anisotropy on TBECs in the immiscible or the phase-separated domain. In particular, the TBECs of ${}^{85}$Rb~-${}^{87}$Rb and ${}^{133}$Cs~-${}^{87}$Rb TBECs are chosen as specific examples of the two possible interface geometries, shell-structured and side by side, in the immiscible domain. We also show that the dispersion relation for the TBEC shell-structured interface has two branches, and anisotropy modifies the energy scale and structure of the two branches.

9 pages, 13 figures

References in corpus (13)

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• Dimensionally Induced Phase Transition of the Weakly Interacting Ultracold Bose Gas
• Evolution of Goldstone mode in binary condensate mixtures

Cited by in corpus (5)

• Segregated quantum phases of dipolar bosonic mixtures in two-dimensional optical lattices
• Collective excitations in cigar-shaped spin-orbit coupled spin-1 Bose-Einstein condensates
• FACt: FORTRAN toolbox for calculating fluctuations in atomic condensates
• Interface potential and line tension for Bose-Einstein condensate mixtures near a hard wall
• Effect of Rashba spin-orbit and Rabi couplings on the excitation spectrum of binary Bose-Einstein condensates