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Advanced materials research

Multiformality of 1st, 2nd and 3rd-order Subschemes of Four-Level Optical Quantum Coherence Systems

Xiao Dong Liu, Lei Dong, Dong Meng, Sen Wang

Published Sep 18, 2013• 0 citations
Publisher

Abstract

Many quantum optical and optoelectronic achievements have been obtained by using quantum coherence effects occurred in four-level quantum systems. Here we report a systemic study on the 1st, 2nd and 3rd order subschemes of the four-level scheme with the aid of Boolean algebra, and find 7 1st order subschemes and 53 2nd order subschemes in total. Further it is found that 472 3rd-order subschemes may appear in the realistic optical quantum coherence experiments when the applied lasers are distinguished only by the strong and weak field intensities.

DOI
10.4028/www.scientific.net/amr.760-762.290

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Many quantum optical and optoelectronic achievements have been obtained by using quantum coherence effects occurred in four-level quantum systems. Here we report a systemic study on the 1st, 2nd and 3rd order subschemes of the four-level scheme with the aid of Boolean algebra, and find 7 1st order subschemes and 53 2nd order subschemes in total. Further it is found that 472 3rd-order subschemes may appear in the realistic optical quantum coherence experiments when the applied lasers are distinguished only by the strong and weak field intensities.
Y and inverted Y-type four-level schemes for optical quantum coherence systems, which may he intuitively considered to be very simple, have not been studied intensively till now. In this paper, we present the multiformity of these two types of schemes by considering that they can be classified into nine possible level styles as the second-order sub-schemes using laser fields. Further we point out the complexity of their more than one hundred realistic configurations as the third-order four-level sub-schemes that may appear in the optical quantum coherence experiments. Throughout this paper we review which configurations have been studied in some research aspects and which ones not, according to our knowledge, in order to be propitious to next steps of theoretical and experimental investigations, especially for applications in the fields of quantum optics, quantum information science, laser spectroscopy, and so on.
Using the method of Boolean algebra,the N-type four-level quantum coherence system is classified into five realistic channel subschemes by choosing the proper transition channels according to the electric dipole section rule.And they can be further classified into forty eight realistic intensity subschemes exactly according to exciting intensity that is used on different channels.The classification is propitious to sort out and take advantage of the research results about N-type four-level quantum coherence system.
根据偶极子转变选择规则并且由选择合适的转变隧道，当使用相应激光领域时，转换Y类型四水平的计划能被分类进九不同第二顺序 subschemes ，这被发现当使用相应激光领域时，并且他们能进一步根据在不同隧道被使用的不同令人激动的紧张详细被分类进八十第三顺序 subschemes 。在这篇论文，转换 Y 类型四水平的计划的结构多形被讨论，某 subschemes 上的示范也被给。同时，被学习了的 subschemes 被指出，但是他们中的大多数没就我们的知识而言被研究。这个工作被开始天津多种工艺的大学的资金的研究支持了(Nos.20080033,20080057 并且 20070010 ) ，并且天津市政的教育委员会(No.20070505 ) 的大学研究节目。
There are many distinguishable subtypes of diamond-type four-level optical quantum coherent(OQC) systems,which come with high structural diversity.We selected transition channels properly according to the rules for dipole transition selection.With a corresponding laser field,we used Boolean algebra methods to classify diamond-type four-level OQC systems into nine real-world channel subtypes(RCSs).Also,we went further by classifying those RCSs into eighty so-called intensity subtypes(ISs) exactly,depending on the excitation intensity of the laser for different transition channels.We focused our discussion on the structural diversity of diamond-type four-level systems,while pointing out which substypes have been studied in some aspects and which ones have not even been theoretically studied.