Maxwell's Demon at work: Two types of Bose condensate fluctuations in power-law traps
arXiv:cond-mat/9709065 · doi:10.1364/OE.1.000262
Abstract
After discussing the key idea underlying the Maxwell's Demon ensemble, we employ this idea for calculating fluctuations of ideal Bose gas condensates in traps with power-law single-particle energy spectra. Two essentially different cases have to be distinguished. If the heat capacity remains continuous at the condensation point in the large-N-limit, the fluctuations of the number of condensate particles vanish linearly with temperature, independent of the trap characteristics. If the heat capacity becomes discontinuous, the fluctuations vanish algebraically with temperature, with an exponent determined by the trap. Our results are based on an integral representation that yields the solution to both the canonical and the microcanonical fluctuation problem in a singularly transparent manner.
10 pages LaTeX and 3 eps-figures, published version
References in corpus (2)
Cited by in corpus (30)
- Physics of the Riemann Hypothesis
- Condensate Fluctuations in Trapped Bose Gases: Canonical vs. Microcanonical Ensemble
- Bose-Einstein condensation in arbitrarily shaped cavities
- Calculation of thermodynamic properties of finite Bose-Einstein systems
- Bose-Einstein Condensation, Fluctuations, and Recurrence Relations in Statistical Mechanics
- Classification of phase transitions of finite Bose-Einstein condensates in power law traps by Fisher zeros
- Bose-Einstein condensation under external conditions
- The saddle-point method for condensed Bose gases
- Investigations on finite ideal quantum gases
- Dependence of the BEC transition temperature on interaction strength: a perturbative analysis
- Observation of Microcanonical Atom Number Fluctuations in a Bose-Einstein Condensate
- Probing the statistical properties of Bose-Einstein condensates with light
- Thermodynamic identities and particle number fluctuations in weakly interacting Bose--Einstein condensates
- Fluctuations of the Bose-Einstein condensate
- Microcanonical fluctuations of the condensate in weakly interacting Bose gases
- Statistical properties of one dimensional attractive Bose gas
- Fluctuations of a weakly interacting Bose-Einstein condensate
- Thermal effects in light scattering from ultracold bosons in an optical lattice
- Classical field records of a quantum system: their internal consistency and accuracy
- Grand-canonical condensate fluctuations in weakly interacting Bose-Einstein condensates of light
- Continuum of classical-field ensembles from canonical to grand canonical and the onset of their equivalence
- Two characteristic temperatures for a Bose-Einstein condensate of a finite number of particles
- Landau functions for non-interacting bosons
- Number Fluctuation and the Fundamental Theorem of Arithmetic
- Light scattering from ultracold gases in disordered optical lattices
- Bose-Einstein Condensation on Product Manifolds
- On the fluctuations of the number of atoms in the condensate
- Temperatures are not useful to characterise bright-soliton experiments for ultra-cold atoms
- Cooling of a small sample of Bose atoms with accidental degeneracy
- Zero Attractors of Partition Polynomials