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19 April 2024
 
  » arxiv » cond-mat/9704234

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Excited states of a dilute Bose-Einstein condensate in a harmonic trap
Alexander L. Fetter ; Daniel Rokhsar ;
Date 28 Apr 1997
Subject Statistical Mechanics | cond-mat.stat-mech
AffiliationStanford), Daniel Rokhsar (UC, Berkeley
AbstractThe low-lying hydrodynamic normal modes of a dilute Bose-Einstein gas in an isotropic harmonic trap determine the corresponding Bogoliubov amplitudes. In the Thomas-Fermi limit, these modes have large low-temperature occupation numbers, and they permit an explicit construction of the dynamic structure function $S(q,omega)$. The total noncondensate number $N’(0)$ at zero temperature increases like $R^6$, where $R$ is the condensate radius measured in units of the oscillator length. The lowest dipole modes are constructed explicitly in the Bogoliubov approximation.
Source arXiv, cond-mat/9704234
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