RECORD
Quasiparticle number fluctuations in superconductors
Superconductivity · Submitted 22 Oct 2003
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We present a general theory of quasiparticle number fluctuations in superconductors.
The compiled record
The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.
Open the compiled record
The abstract, sentence by sentence
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.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We present a general theory of quasiparticle number fluctuations in superconductors. | contribution 1.00 | 0.93 | 0.16 | asserted 0.98 |
| s1 | The theory uses the master equation formalism. | method 0.99 | 0.79 | 0.03 | asserted 1.00 |
| s2 | First, we develop the theory for a single occupation variable. | method 0.63 | 0.92 | 0.03 | asserted 0.99 |
| s3 | 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. | limitation 0.92 | 0.43 | 0.03 | asserted 0.99 |
| s4 | We go on to develop a multivariate theory that allows for an arbitrary number of levels with transitions of arbitrary size between levels. | method 0.54 | 0.94 | 0.06 | asserted 0.99 |
| s5 | We specialize the multivariate theory for two particular cases. | contribution 0.60 | 0.92 | 0.03 | asserted 0.95 |
| s6 | First, we consider intrinsic quasiparticle fluctuations. | contribution 0.86 | 0.85 | 0.05 | asserted 0.71 |
| s7 | 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. | background 0.65 | 0.27 | 0.04 | asserted 0.99 |
| s8 | Prober, Phys. Rev. Lett. 87, 067004 (2001)]. | background 0.86 | 0.10 | 0.02 | unclear 0.56 |
| s9 | Finally, we extend these results to include fluctuations due to extrinsic loss processes. | contribution 0.98 | 0.90 | 0.10 | asserted 0.97 |
What was examined, and what was not
- arXiv listing abstract v1
- full text
- figures and tables
- references and citing sentences
- relations to other papers
- P abstract
- S sections
- T body sentences
- C citations
- R cross-paper relations
The paper
Original abstract
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.
Human review
Discussion
Know something about this paper? Leave a comment, or highlight any passage above to comment on it.