From microscopic to macroscopic description of Josephson dynamics in one-dimensional arrays of weakly-coupled superconducting islands
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 consideratio...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Elsevier
2015-01-01
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| Series: | Results in Physics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379715000042 |
| _version_ | 1818487546396540928 |
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| author | A. Giordano R. De Luca |
| author_facet | A. Giordano R. De Luca |
| author_sort | A. Giordano |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-10T16:39:21Z |
| format | Article |
| id | doaj.art-c843e03ad1ba41c8a0bb9e353e2abb30 |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-12-10T16:39:21Z |
| publishDate | 2015-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-c843e03ad1ba41c8a0bb9e353e2abb302022-12-22T01:41:17ZengElsevierResults in Physics2211-37972015-01-015C343710.1016/j.rinp.2015.01.003From microscopic to macroscopic description of Josephson dynamics in one-dimensional arrays of weakly-coupled superconducting islandsA. GiordanoR. De LucaBy 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.http://www.sciencedirect.com/science/article/pii/S2211379715000042Josephson junctionsOne-dimensional arraysFeynman’s model |
| spellingShingle | A. Giordano R. De Luca From microscopic to macroscopic description of Josephson dynamics in one-dimensional arrays of weakly-coupled superconducting islands Results in Physics Josephson junctions One-dimensional arrays Feynman’s model |
| title | From microscopic to macroscopic description of Josephson dynamics in one-dimensional arrays of weakly-coupled superconducting islands |
| title_full | From microscopic to macroscopic description of Josephson dynamics in one-dimensional arrays of weakly-coupled superconducting islands |
| title_fullStr | From microscopic to macroscopic description of Josephson dynamics in one-dimensional arrays of weakly-coupled superconducting islands |
| title_full_unstemmed | From microscopic to macroscopic description of Josephson dynamics in one-dimensional arrays of weakly-coupled superconducting islands |
| title_short | From microscopic to macroscopic description of Josephson dynamics in one-dimensional arrays of weakly-coupled superconducting islands |
| title_sort | from microscopic to macroscopic description of josephson dynamics in one dimensional arrays of weakly coupled superconducting islands |
| topic | Josephson junctions One-dimensional arrays Feynman’s model |
| url | http://www.sciencedirect.com/science/article/pii/S2211379715000042 |
| work_keys_str_mv | AT agiordano frommicroscopictomacroscopicdescriptionofjosephsondynamicsinonedimensionalarraysofweaklycoupledsuperconductingislands AT rdeluca frommicroscopictomacroscopicdescriptionofjosephsondynamicsinonedimensionalarraysofweaklycoupledsuperconductingislands |