Stability and collective excitations of a two-component Bose-Einstein condensed gas: A moment approach

1997/05/01 by Thomas Busch, Th. Busch, J. I. Cirac +3 · 2 citations
Physics and Astronomy · #Bose gas #Bose–Einstein condensate #Cold Atom Physics and Bose-Einstein Condensates #Component (thermodynamics) #Excitation #Gaussian #Mean field theory #Moment (physics) #Physics #Quantum electrodynamics #Quantum mechanics #Quantum, superfluid, helium dynamics #Scattering #Scattering length #Stability (learning theory) #Strong Light-Matter Interactions #Wave function #cond-mat

paper · pdf · doi:10.1103/physreva.56.2978

7 pages, 6 figures

arxiv created 1997/05/01 · openalex publication_date 1997/10/01 · openalex created_date 2016/06/24 · arxiv updated 2016/08/31 · openalex updated_date 2026/08/06

Abstract

The dynamics of a two-component dilute Bose-Einstein gas of atoms at zero temperature is described in the mean-field approximation by a two-component Gross-Pitaevskii equation. We solve this equation assuming a Gaussian shape for the wave function, where the free parameters of the trial wave function are determined using a moment method. We derive equilibrium states and the phase diagrams for the stability for positive and negative s-wave scattering lengths, and obtain the low-energy excitation frequencies corresponding to the collective motion of the two Bose-Einstein condensates.

Citations

• Evidence of Bose-Einstein Condensation in an Atomic Gas with Attractive Interactions
• Bosons in anisotropic traps: Ground state and vortices
• Observation of Bose-Einstein Condensation in a Dilute Atomic Vapor
• Plancks Gesetz und Lichtquantenhypothese
• Observation of Interference Between Two Bose Condensates
• Bose-Einstein Condensation in a Gas of Sodium Atoms

Cited by

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• Spin domains in ground-state Bose–Einstein condensates