Quantum dynamics of two capacitively coupled superconducting islands via Josephson junctions

Details Quantum dynamics of two capacitively coupled superconducting islands via Josephson junctions Quantum dynamics of two capacitively coupled superconducting islands via Josephson junctions

2004-02-13

arxiv.org/abs/cond-mat/0402354v1

Commun. Theor. Phys. 39 (2003) 757-760

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 1 figure

Scientific paper

In 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.

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