Unstable Behaviour of a Superconducting Ring Containing a Josephson Junction
The dynamic decay process for a SQUID ring is analyzed within the framework of the flux mode regime. Under the equilibrium flux condition, the quantum rates for the low-lying states are computed by using a simpler form for the Anderson-Josephson potential This condensed matter model has acquired some fame since it describes collective quantum effects in thin magnetic films1 and sine-Gordon systems2. Functional integral techniques specifically adapted to the general features of superconductivity3 are used to derive WKB-type expansions. Hence, the probability in the dual charge (“momentum”) mode is easily obtained.
KeywordsPath Integral JOSEPHSON Junction Flux Condition Quantum Tunnelling Magnetic Film