Constants of motion in the dynamics of a 2N-junction SQUID
C. Nappi, G. Filatrella, S. Pagano
Abstract
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.
Create a lesson
Related papers
Ginzburg Landau theory for d-wave pairing and fourfold symmetric vortex core structure
Naoki Enomoto, Masanori Ichioka, Kazushige Machida
Density of States and NMR Relaxation Rate in Anisotropic Superconductivity with Intersecting Line Nodes
Yasumasa Hasegawa
Critical State Flux Penetration and Linear Microwave Vortex Response in YBa2Cu3O7-x Films
Balam A. Willemsen, J. S. Derov, S. Sridhar
Nonlinear Response of HTSC Thin Film Microwave Resonators in an Applied DC Magnetic Field
Durga P. Choudhury, Balam A. Willemsen, John S. Derov et al.
On the origin of the irreversibility line in thin YBaCuO7 films with and without columnar defects
R. Prozorov, M. Konczykowski, B. Schmidt et al.
The Fluctuation Induced Pseudogap in the Infrared Optical Conductivity of High Temperature Superconductors
Francesca Federici, Andrei A. Varlamov