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APS » Journals » Phys. Rev. Lett. » Volume 94 » Issue 10
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Phys. Rev. Lett. 94, 102502 (2005) [4 pages]

Fluctuations in the Level Density of a Fermi Gas

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P. Leboeuf1, A. G. Monastra2, and A. Relaño3
1Laboratoire de Physique Théorique et Modèles Statistiques, Bâtiment 100, Université de Paris-Sud, 91405 Orsay CEDEX, France
2Institut für Theoretische Physik, Technische Universität Dresden, 01062 Dresden, Germany
3Departamento de Física Atómica, Molecular y Nuclear, Universidad Complutense de Madrid, E-28040 Madrid, Spain

Received 15 November 2004; published 16 March 2005

We present a theory that accurately describes the counting of excited states of a noninteracting fermionic gas. At high excitation energies the results reproduce Bethe’s theory. At low energies oscillatory corrections to the many-body density of states, related to shell effects, are obtained. The fluctuations depend nontrivially on energy and particle number. Universality and connections with Poisson statistics and random matrix theory are established for regular and chaotic single-particle motion.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.94.102502
DOI:
10.1103/PhysRevLett.94.102502
PACS:
21.10.Ma, 05.45.Mt, 24.60.-k
 
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