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Calculation for fluctuations of the vortex state in Bose-Einstein condensations for systems of two-components in alkali atom gases

Kensuke Doi, Yuhei Natsume, 健祐 土居, 夏目 雄平

Published Jan 1, 2000• 0 citations
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Calculation of Bose-Einstein Condensations and Characteristic Features of Fluctuations for Systems with and without a Vortex in Two-Component Alkali Atom Gases

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Characteristic features in phases of Bose-Einstein condensations (BEC) for systems of two-components in gas phases of Alkali-metal atoms trapped by harmonic potentials are discussed on the basis of numerical calculations by the use of Gross-Pitaevskii equation. Condensations with and without vortices are considered in order to make clear spatial distributions. The shape of spatial distribution is essentially dependent on the ratio of interaction strengths between intra-components and inter-components. We emphasize the possibility of coexistence of vortex-free state (where the angular momentum ℓ is 0.) for the one component in BEC and vortex state (ℓ z =1) for another component whose shape is the donut-like spatial distribution. Furthermore, fluctuations of these states are discussed. In partiucular, we concentrate our attention to the appearance of the core modes with ℓ z =0 symmetry for the component with a vortex. In connection with the behavior of the core modes, the contribution of the component without a vortex to the stability of the above vortex is discussed on the basis of numerical calculation.

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Mode Analysis of Fluctuations in Two-Species Bose–Einstein Condensates of Atomic Gases with a Vortex for a Component –Characteristic Features of Compressive and Sliding Motions–

Kensuke Doi, Yuhei Natsume

Characteristic features of fluctuations of Bose–Einstein condensations for systems of two-components in gas phases of alkali-metal atoms trapped by spherical harmonic potentials are discussed on the basis of numerical calculations. We concentrate our attention on the phases in which the spherical state ψ 1 without vortex is surrounded by ψ 2 with a vortex for the unit circulation q =1. These states are expressed by Gross–Pitaevskii equation, where a vortex-core is along the z -axis. We investigate properties of collective excitations by the linear analysis for bosonic excitations described as Bogoliubov equations. The behavior of each mode is discussed in relation with the role of interspecies repulsion in addition to that of intraspecies one. We point out the role of the new compressive mode which has two nodes on z -axis, in addition to that of the core mode without a node which have been previously discussed in the single-component system. Furthermore, we would like to emphasize that sliding modes show the branching features into in- and out-of-phase motions with increasing interspecies interaction. The dependence of those branchings on interspecies repulsion is explained by spatial shapes of relevant modes.

Journal of the Physical Society of Japan•Apr 15, 2003•6 citations

Zero-mode fluctuations for two-component Bose-Einstein condensates

Takahashi Jun'ichi, Yuto Hayaki, Y. Yamanaka

日本物理学会講演概要集•Jan 1, 2020•0 citations
Characteristic features in phases of Bose-Einstein condensations (BEC) for systems of two-components in gas phases of Alkali-metal atoms trapped by harmonic potentials are discussed on the basis of numerical calculations by the use of Gross-Pitaevskii equation. Condensations with and without vortices are considered in order to make clear spatial distributions. The shape of spatial distribution is essentially dependent on the ratio of interaction strengths between intra-components and inter-components. We emphasize the possibility of coexistence of vortex-free state (where the angular momentum ℓ is 0.) for the one component in BEC and vortex state (ℓ z =1) for another component whose shape is the donut-like spatial distribution. Furthermore, fluctuations of these states are discussed. In partiucular, we concentrate our attention to the appearance of the core modes with ℓ z =0 symmetry for the component with a vortex. In connection with the behavior of the core modes, the contribution of the component without a vortex to the stability of the above vortex is discussed on the basis of numerical calculation.
Characteristic features of fluctuations of Bose–Einstein condensations for systems of two-components in gas phases of alkali-metal atoms trapped by spherical harmonic potentials are discussed on the basis of numerical calculations. We concentrate our attention on the phases in which the spherical state ψ 1 without vortex is surrounded by ψ 2 with a vortex for the unit circulation q =1. These states are expressed by Gross–Pitaevskii equation, where a vortex-core is along the z -axis. We investigate properties of collective excitations by the linear analysis for bosonic excitations described as Bogoliubov equations. The behavior of each mode is discussed in relation with the role of interspecies repulsion in addition to that of intraspecies one. We point out the role of the new compressive mode which has two nodes on z -axis, in addition to that of the core mode without a node which have been previously discussed in the single-component system. Furthermore, we would like to emphasize that sliding modes show the branching features into in- and out-of-phase motions with increasing interspecies interaction. The dependence of those branchings on interspecies repulsion is explained by spatial shapes of relevant modes.