Equivalent single-junction model for two-junction quantum interferometers with small inductance in the presence of noise
✍ Scribed by R. De Luca; A. Fedullo; V.A. Gasanenko
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 684 KB
- Volume
- 470
- Category
- Article
- ISSN
- 0921-4534
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✦ Synopsis
We illustrate, in the limit of small values of the parameter b, a method to analyze the stochastic equations governing the time evolution of a two-junction quantum interferometer in the presence of noise. The analysis takes into account the different characteristic times of the two processes involved in the system, in such a way that the appropriate probability density function for each process is derived by means of one-dimensional Fokker-Planck equations. Therefore, the present analysis is equivalent to a generalization of the reduced single-junction model in the case of thermal fluctuations in the junctions. Voltagecurrent characteristics, transfer functions and circulating currents in 0-SQUIDs and p-SQUIDs are calculated by means of the proposed analytic approach.