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Basic Sciences Journal of Textile Universities

Mesoscopic Josephson junctions in the presence of non-classical multimode electromagnetic field

Jian Zou

Published Jan 1, 2007• 0 citations
OpenAlex

Abstract

Supercurrent behavior of the mesoscopic Josephson junction coupled to the multimode electromagnetic field is investigated.The basic theoretic sketch of the fully quantum mechanical system for the multimode squeezed state is build.It is shown that the time evolution of the supercurrent in the multimode field can exhibit more complex behavior than in a single-mode field case.The quantum collapse and revival properties of the supercurrent for a three-mode squeezed vacuum state are shown.

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Supercurrent behavior of the mesoscopic Josephson junction coupled to the multimode electromagnetic field is investigated.The basic theoretic sketch of the fully quantum mechanical system for the multimode squeezed state is build.It is shown that the time evolution of the supercurrent in the multimode field can exhibit more complex behavior than in a single-mode field case.The quantum collapse and revival properties of the supercurrent for a three-mode squeezed vacuum state are shown.
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.
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.
We examine an effective bosonic Hamiltonian describing a mesoscopic Josephson junction driven by a sinusoidal magnetic field. We study the effects caused by the Josephson nonlinearity and find that an initial vacuum state of the junction can evolve into a class of superposition state of coherent states. Further, we investigate the reduced quantum fluctuation of the junction variables and the dynamics of the supercurrent. Our results show that, due to the effect of Josephson nonlinearity, the time evolution of the supercurrent can exhibit the collapse and revival even when the junction is driven by a classical field.