Quantum dynamics of two capacitively coupled superconducting islands via Josephson junctions

dc.creatorYang, Mou
dc.creatorKuang, Le-Man
dc.date2004-02-13
dc.date.accessioned2026-07-07T02:56:27Z
dc.date.available2026-07-07T02:56:27Z
dc.descriptionIn this paper, we consider a system consisting of two capacitively coupled superconducting islands via Josephson junctions. We show that it can be reduced to two coupling harmonic oscillators under certain conditions, and solved exactly in terms of a displacing transformation, a beam-splitter-like transformation, and a squeezing transformation. It is found that the system evolves by a rotated-squeezed-coherent state when the system is initially in a coherent state. Quantum dynamics of the Cooper pairs in the two superconducting islands is investigated. It is shown that the number of the Cooper pairs in the two islands evolves periodically.
dc.description4 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/cond-mat/0402354
dc.identifierhttp://arxiv.org/abs/cond-mat/0402354
dc.identifierCommun. Theor. Phys. 39 (2003) 757-760
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/23331
dc.subjectMesoscale and Nanoscale Physics
dc.titleQuantum dynamics of two capacitively coupled superconducting islands via Josephson junctions
dc.typetext

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