Quasiparticle number fluctuations in superconductors

Details Quasiparticle number fluctuations in superconductors Quasiparticle number fluctuations in superconductors

2003-10-22

arxiv.org/abs/cond-mat/0310525v1

PHYSICAL REVIEW B 69, 094524 (2004)

Physics

Condensed Matter

Superconductivity

35 pages (double spaced), 3 figures

Scientific paper

10.1103/PhysRevB.69.094524

We present a general theory of quasiparticle number fluctuations in superconductors. The theory uses the master equation formalism. First, we develop the theory for a single occupation variable. Although this simple system is insufficient to describe fluctuations in a physical superconductor, it is illustrative, allowing this discussion to serve as a self-contained introduction. We go on to develop a multivariate theory that allows for an arbitrary number of levels with transitions of arbitrary size between levels. We specialize the multivariate theory for two particular cases. First, we consider intrinsic quasiparticle fluctuations. In a previous Letter, these results were used to describe time-resolved measurements of thermodynamic fluctuations in a superconducting Al box [C.M. Wilson, L. Frunzio and D.E. Prober, Phys. Rev. Lett. 87, 067004 (2001)]. Finally, we extend these results to include fluctuations due to extrinsic loss processes.

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