Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2001-10-18
Annals Phys. 297 (2002) 127-156
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
24 pages, 7 figures, 5 tables
Scientific paper
10.1006/aphy.2002.6246
We investigate the probability distribution of the quantum fluctuations of thermodynamic functions of finite, ballistic, phase-coherent Fermi gases. Depending on the chaotic or integrable nature of the underlying classical dynamics, on the thermodynamic function considered, and on temperature, we find that the probability distributions are dominated either (i) by the local fluctuations of the single-particle spectrum on the scale of the mean level spacing, or (ii) by the long-range modulations of that spectrum produced by the short periodic orbits. In case (i) the probability distributions are computed using the appropriate local universality class, uncorrelated levels for integrable systems and random matrix theory for chaotic ones. In case (ii) all the moments of the distributions can be explicitly computed in terms of periodic orbit theory, and are system-dependent, non-universal, functions. The dependence on temperature and number of particles of the fluctuations is explicitly computed in all cases, and the different relevant energy scales are displayed.
Leboeuf Patricio
Monastra Alejandro G.
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