6533b851fe1ef96bd12a9030
RESEARCH PRODUCT
From microscopic to macroscopic description of Josephson dynamics in one-dimensional arrays of weakly-coupled superconducting islands
R. De LucaA. Giordanosubject
SuperconductivityJosephson effectPhysicsJosephson junctionsFeynman’s modelDynamics (mechanics)General Physics and AstronomyFeynman's modelPhysics and Astronomy(all)lcsh:QC1-999Feynman's model; Josephson junctions; One-dimensional arrays; Physics and Astronomy (all)Pi Josephson junctionOne-dimensional arrayssymbols.namesakePhysics and Astronomy (all)Classical mechanicsLinear differential equationCondensed Matter::SuperconductivitysymbolsFeynman diagramStatistical physicsQuantumlcsh:PhysicsPhysical quantitydescription
Abstract By starting from a microscopic quantum mechanical description of Josephson dynamics of a one-dimensional array of N coupled superconductors, we obtain a set of linear differential equations for the system order parameter and for additional macroscopic physical quantities. With opportune considerations, we adapt this description to two coupled superconductors, obtaining the celebrated Feynman model for Josephson junctions. These results confirm the correspondence between the microscopic picture and the semi-classical Ohta’s model adopted in describing the superconducting phase dynamics in multi-barrier Josephson junctions.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2015-01-01 |