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Chinese Physics Letters

Periodical Oscillations of Supercurrent Fluctuation in Mesoscopic Josephson Junctions in Quantized Electromagnetic Fields

Le‐Man Kuang, Yiwen Wang, Mo‐Lin Ge

Published May 1, 1996• 3 citations
Publisher

Abstract

Supercurrent fluctuation of a mesoscopic Josephson junction (MJJ) in the pre-sence of a dc static voltage and a time-varying quantized electromagnetic field (QEMF) is investigated. It is shown that the fluctuation of supercurrent in the MJJ exhibits periodical oscillations with a periodicity which depends upon the rate of the classical static external voltage and the frequency of the QEMF.

DOI
10.1088/0256-307x/13/5/011

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Supercurrent fluctuation of a mesoscopic Josephson junction (MJJ) in the pre-sence of a dc static voltage and a time-varying quantized electromagnetic field (QEMF) is investigated. It is shown that the fluctuation of supercurrent in the MJJ exhibits periodical oscillations with a periodicity which depends upon the rate of the classical static external voltage and the frequency of the QEMF.
Dynamic evolution of a mesoscopic Josephson junction (MJJ) interacting with quantized electromagnetic fields (QEMF) is investigated. It is shown that the current-voltage steps of the MJJ can reflect quantum coherences of the external QEMF; these characteristics may be used to distinguish different types of quantum electromagnetic fields. It is found that supercurrent fluctuations exhibit periodic oscillations in the time evolution. Supercurrent correlation functions are also studied in some detail. It is shown that the thermal noise in the external electromagnetic field seriously affects the second-order correlation function of the supercurrent. \textcopyright{} 1996 The American Physical Society.
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.
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.
In this paper, we study the supercurrent in a mesoscopic Josephson junction (MJJ) and its quantum statistical properties in the presence of nonclassical light fields. We investigate in detail the influence of external nonclassical light fields on current-voltage step structures of the MJJ. We also study in detail quantum statistical properties of the supercurrent when the external quantum electromagnetic fields are even and odd coherent-state light fields. It is shown that the supercurrent in the MJJ exhibits both squeezing effect and quantum coherences. It is demonstrated that the MJJ can feel the difference not only between classical light fields and nonclassical light fields but also between different nonclassical light fields.
The interaction of a mesoscopic Josephson junction with superposition of even and odd coherent states is investigated. It is found that the expectation value and the fluctuation of a supercurrent can exhibit dc components. The number of current-voltage steps (CVSs) for the former are less than the latter. For the former the static supercurrent flows in a positive or negative direction, which depends on the phase of the light field. The correlation function and squeezing of the dc components of a supercurrent depend on the value of CVS. For some special value of a CVS, the squeezing disappears.