Ground state fluctuations in finite Fermi and Bose systems

Details Ground state fluctuations in finite Fermi and Bose systems Ground state fluctuations in finite Fermi and Bose systems

2000-08-07

arxiv.org/abs/cond-mat/0008114v2

Physics

Condensed Matter

Statistical Mechanics

20 pages (including 1 appendix), 3 postscript figures. An error was found in one section of the paper. The corrected version i

Scientific paper

10.1103/PhysRevE.63.031105

We consider a small and fixed number of fermions (bosons) in a trap. The ground state of the system is defined at T=0. For a given excitation energy, there are several ways of exciting the particles from this ground state. We formulate a method for calculating the number fluctuation in the ground state using microcanonical counting, and implement it for small systems of noninteracting fermions as well as bosons in harmonic confinement. This exact calculation for fluctuation, when compared with canonical ensemble averaging, gives considerably different results, specially for fermions. This difference is expected to persist at low excitation even when the fermion number in the trap is large.

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