Catastrophe observation in a Josephson junction system

Details Catastrophe observation in a Josephson junction system Catastrophe observation in a Josephson junction system

2006-09-02

arxiv.org/abs/cond-mat/0609038v2

Physical Review Letters Vol.98, 177002 (2007)

Physics

Condensed Matter

Superconductivity

13 figures in A4 pdf format including three figures. Article submitted for publication

Scientific paper

10.1103/PhysRevLett.98.177002

We report on a direct quantitative comparison between Thom's general catastrophe theory for systems presenting discontinuous behavior and experimental reality. It is demonstrated that the model provides a striking quantitative description of the measured experimental features of the complex nonlinear system generating the most appealing class of sensors and devices nowadays used in experiments, namely the Superconducting Quantum Interference Devices (SQUIDs). The parameter space of the SQUID system that we investigate displays all the features associated with a butterfly catastrophe, namely a catastrophe expected for a system having four control parameters and one state variable.

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