Constants of motion in the dynamics of a 2N-junction SQUID

Details Constants of motion in the dynamics of a 2N-junction SQUID Constants of motion in the dynamics of a 2N-junction SQUID

1995-07-18

arxiv.org/abs/supr-con/9507005v1

Physics

Condensed Matter

Superconductivity

Figures available from the authors. Submitted to Phys. Lett. A

Scientific paper

10.1016/0375-9601(95)00572-K

We show that a 2N junction SQUID (Superconducting QUantum Interference Device) made of 2N overdamped, shunted, identical junctions may be described as a system having only 6 degrees of freedom for any N > 2. This is achieved by means of the reduction introduced by Watanabe and Strogatz (Physica D, Vol. 74, (1994) p. 197) for series biased arrays. In our case 6 rather than 3 degrees of freedom are necessary to describe the system, due to the requirement of phase quantization along the superconducting loop constituting the device. Generalization to multijunction parallel arrays is straightforward.

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