Mesoscopic Fluctuations of the Pairing Gap

Journal Article · Fri Apr 04 04:00:00 EDT 2008 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.2915592· OSTI ID:21136986

Aaberg, S; Olofsson, H ^[1]; Leboeuf, P ^[2]

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1. Mathematical Physics, LTH, Lund University, P.O. Box 118, S-221 00 Lund (Sweden)
2. Laboratoire de Physique Theorique et Modeleles Statistiques, CNRS, Bat. 100, Universite de Paris-Sud, 91405 Orsay Cedex (France)

A description of mesoscopic fluctuations of the pairing gap in flnite-sized quantum systems based on periodic orbit theory is presented. The size of the fluctuations are found to depend on quite general properties. We distinguish between systems where corresponding classical motion is regular or chaotic, and describe in detail fluctuations of the BCS gap as a function of the size of the system. The theory is applied to different mesoscopic systems: atomic nuclei, metallic grains, and ultracold fermionic gases. We also present a detailed description of pairing gap variation with particle number for nuclei based on a deformed cavity potential.

• OSTI ID: 21136986
• Journal Information: AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 995; ISSN APCPCS; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BCS THEORY
CHAOS THEORY
COOPER PAIRS
ENERGY GAP
FERMIONS
FLUCTUATIONS
MASS DIFFERENCE
NUCLEI
ORBITS
PERIODICITY
POTENTIALS