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Optics Express

Optics Express

  • Editor: J. H. Eberly
  • Vol. 1, Iss. 10 — Nov. 10, 1997
  • pp: 272–283

Particle number counting statistics in ideal Bose gases

Christoph Weiss and Martin Wilkens  »View Author Affiliations

Optics Express, Vol. 1, Issue 10, pp. 272-283 (1997)

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We discuss the exact particle number counting statistics of degenerate ideal Bose gases in the microcanonical, canonical, and grand-canonical ensemble, respectively, for various trapping potentials. We then invoke the Maxwell’s Demon ensemble [Navez et el, Phys. Rev. Lett. (1997)] and show that for large total number of particles the root-mean-square fluctuation of the condensate occupation scales δn0α [T/Tc ] rNs with scaling exponents r = 3/2, s = 1/2 for the 3D harmonic oscillator trapping potential, and r = 1, s = 2/3 for the 3D box. We derive an explicit expression for r and s in terms of spatial dimension D and spectral index σ of the single-particle energy spectrum. Our predictions also apply to systems where Bose-Einstein condensation does not occur. We point out that the condensate fluctuations in the microcanonical and canonical ensemble respect the principle of thermodynamic equivalence.

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OCIS Codes
(000.6590) General : Statistical mechanics
(270.2500) Quantum optics : Fluctuations, relaxations, and noise

ToC Category:
Focus Issue: Fluctuations and oscillations of Bose-Einstein

Original Manuscript: September 10, 1997
Published: November 10, 1997

Christoph Weiss and Martin Wilkens, "Particle number counting statistics in ideal Bose gases," Opt. Express 1, 272-283 (1997)

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