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Yokoyama, Keiichi; Matsuoka, Leo*
Ryoshi Uoku No Shin Tenkai; Suri Kozo No Shinka To Oyo, p.228 - 242, 2019/08
Quantum walk is the quantum mechanical counter part of the classical random walk, which is known as mathematical model of diffusion process. By applying this new concept to light-matter interaction, a new isotope separation scheme is shown to be emerged. In addition, its advancements and forthcoming challenges are introduced.
Yokoyama, Keiichi
no journal, ,
Relation between studies for experimental demonstration of cesium isotope separation and quantum walk, a hot topic in the mathematics, is introduced. We have found that the core principle for the cesium isotope separation scheme adopted by us can be regarded as a continuous-time quantum walk in the angular momentum space of molecular rotation. Furthermore, We have found that the alternating pi pulse method, which we have newly proposed to increase the separation factor, is a novel implementation method for the discrete-time quantum walk. Details of these findings and some questions to extend our scheme to polyatomic molecules are addressed.
Yokoyama, Keiichi
no journal, ,
Treatment of nuclear waste is one of the biggest problems in the modern civilization. To extinguish the toxicity, isotope separation of radioactive wastes is mandatory. The present technology, however, cannot do that at the required level of selectivity and throughput. In 2009, we proposed a new isotope-selecting scheme using molecular rotation for a future break through. We found, in the scheme, quantum walk and localization of complex amplitude describing molecular rotation play a key role in its pronounced selectivity. Furthermore, enhancement of its advantage was found to connect directly with the discrete-time quantum walk.
Yokoyama, Keiichi
no journal, ,
In the course of studies on laser isotope separation proceeded in JAEA, we found that the quantum walk and photo-excitation of molecular rotation are closely related to each other. I present a tutorial lecture on this matter. Quantum walk is a rather new concept in the field of mathematics. I try to explain how it connects with the issue of recycling of nuclear waste by introducing basics of the light-matter interaction.
Yokoyama, Keiichi
no journal, ,
I introduce some of features of the quantum walk, which is the quantum mechanical counterpart of the random walk. I also explain that development of isotope separation technique is the key for the transmutation of radioactive long-lived fission products and that those developments require a fundamentally new separation principle. Possibility of a new scheme of isotope separation which takes advantage of the quantum walk is discussed with presenting some of results obtained from researches in JAEA.