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International Journal of Modern Physics B

Fractional Shapiro Steps and Superstructure in Revivals of Supercurrent in Mesoscopic Josephson Junction

Jian Zou, Bin Shao, Xiusan Xing

Published Oct 20, 1998• 0 citations
Publisher

Abstract

Dynamic behavior of supercurrent in mesoscopic Josephson junction interacting with even coherent state (CS) and odd CS of nonclassical microwave with frequency ω1 and classical radiation with frequency ω2 is investigated. It is shown that the supercurrent through the junction has a dc component only for all rational values of ω1/ω2 (fractional Shapiro steps). It is also shown that the dynamic behavior of the supercurrent exhibits collapse and revival phenomenon and the revivals are dominated by the periodical superstructure. Dynamic behavior of supercurrent fluctuation is also studied and it is found that generally when the fluctuation is large, the supercurrent exhibits collapses and when the fluctuation is small, the supercurrent exhibits revivals.

DOI
10.1142/s0217979298001587

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Dynamic behavior of supercurrent in mesoscopic Josephson junction interacting with even coherent state (CS) and odd CS of nonclassical microwave with frequency ω1 and classical radiation with frequency ω2 is investigated. It is shown that the supercurrent through the junction has a dc component only for all rational values of ω1/ω2 (fractional Shapiro steps). It is also shown that the dynamic behavior of the supercurrent exhibits collapse and revival phenomenon and the revivals are dominated by the periodical superstructure. Dynamic behavior of supercurrent fluctuation is also studied and it is found that generally when the fluctuation is large, the supercurrent exhibits collapses and when the fluctuation is small, the supercurrent exhibits revivals.
The dynamic behavior of the supercurrent in mesoscopic Josephson junctions interacting with various nonclassical electromagnetic fields (NEMF) is investigated. It is shown that for squeezed number states, squeezed states, and a superposition of two coherent states, the supercurrent exhibits a collapse and revival (CR) phenomenon that is well known in the context of quantum optics. For coherent states and number states, this phenomenon does not occur. This CR phenomenon, which is due to the granular nature of the field, is also absent if the field is considered classically. The dynamic behavior of the supercurrent fluctuation is also studied and it is found that, generally, when the fluctuation is large, the supercurrent exhibits collapses, and, when the fluctuation is small, the supercurrent exhibits revivals. Finally, the amplitude of current-voltage steps for various NEMF's are studied in some detail.
The dynamic behaviors of supercurrent in mesoscopic Josephson junction in the presence of a dc bias voltage V0-and of correlated two-mode SU(1,1) coherent states of quantum electromagnetic field, as well as current-voltage steps and Shapiro dc current, are investigated.It is shown that the time evolution of supercurrent exhibits collapse and revival phenomenon, but for non-correlated two-mode coherent states it does not exhibit such a phenomenon. And the current-voltage steps of correlated two-mode SU(1,1) coherent states of quantum electromagnetic field are different from that of classical electromagnetic field and that of non correlated two-mode coherent states.
The interaction of a mesoscopic Josephson junction (MJJ) with the excited even and odd coherent states is investigated. Some properties of the supercurrent in the MJJ in the presence of nonclassical light fields, such as collapse and revival phenomenon, the current–voltage step, dc component fluctuation and quantum coherence of supercurrent, are studied. It is shown that the expectation values and the fluctuation of supercurrent can exhibit dc components. It is also shown that the static supercurrent flows, dc components of the supercurrent fluctuation and correlation function of the dc supercurrent components, are related to the phase of the light field.