Three-Component Fermionic Atoms with Repulsive Interaction in Optical Lattices

We investigate three-component (colors) repulsive fermionic atoms in optical lattices using the dynamical mean field theory. Depending on the anisotropy of the repulsive interactions, either a color density-wave state or a color selective staggered state appears at half filling. In the former state, pairs of atoms with two of the three colors and atoms with the third color occupy different sites alternately. In the latter state, atoms with two of the three colors occupy different sites alternately and atoms with the third color are itinerant throughout the system. When the interactions are isotropic, both states are degenerate. We discuss the results using an effective model.Comment: 5 pages, 5 figure

Mott Transitions of Three-Component Fermionic Atoms with Repulsive Interaction in Optical Lattices

We investigate the Mott transitions of three-component (colors) repulsive fermionic atoms in optical lattices using the dynamical mean field theory. We find that for SU(3) symmetry breaking interactions the Mott transition occurs at incommensurate half filling. As a result, a characteristic Mott insulating state appears, where paired atoms with two different colors and atoms with the third color are localized at different sites. We also find another Mott state where atoms with two different colors are localized at different sites and atoms with the third color remain itinerant. We demonstrate that these exotic Mott phases can be detected by experimental double occupancy observations.Comment: 5 pages, 4 figure

An Institutionalist Approach to Liberaliam (1)

The aim of this paper is to present a new way of theorizing liberalist political / social doctrines. Formerly, most supporters of liberalism have constructed their political / social theories on the base of "methodological individualism". But here I try to found a discriptive / normative theory of liberal societies on the ground ofa sort of "wholism". A main idea of this paper is to conceptualize "personhood" as one type of institutions. I define "institution" as a expected pattern of actions, or a system of rules of conducts, and see "person" as the special type of institution, the institution enacted by one physical humane individual. And I make a thoretical modell of liberal society as a band of different types of institutions. In this modell, "person" is not a sort of "social atom", but have a very specific functioning

Artificial Intelligence, Robots, and Philosophy

This book is a collection of all the papers published in the special issue “Artificial Intelligence, Robots, and Philosophy,” Journal of Philosophy of Life, Vol.13, No.1, 2023, pp.1-146. The authors discuss a variety of topics such as science fiction and space ethics, the philosophy of artificial intelligence, the ethics of autonomous agents, and virtuous robots. Through their discussions, readers are able to think deeply about the essence of modern technology and the future of humanity. All papers were invited and completed in spring 2020, though because of the Covid-19 pandemic and other problems, the publication was delayed until this year. I apologize to the authors and potential readers for the delay. I hope that readers will enjoy these arguments on digital technology and its relationship with philosophy. *** Contents*** Introduction : Descartes and Artificial Intelligence; Masahiro Morioka*** Isaac Asimov and the Current State of Space Science Fiction : In the Light of Space Ethics; Shin-ichiro Inaba*** Artificial Intelligence and Contemporary Philosophy : Heidegger, Jonas, and Slime Mold; Masahiro Morioka*** Implications of Automating Science : The Possibility of Artificial Creativity and the Future of Science; Makoto Kureha*** Why Autonomous Agents Should Not Be Built for War; István Zoltán Zárdai*** Wheat and Pepper : Interactions Between Technology and Humans; Minao Kukita*** Clockwork Courage : A Defense of Virtuous Robots; Shimpei Okamoto*** Reconstructing Agency from Choice; Yuko Murakami*** Gushing Prose : Will Machines Ever be Able to Translate as Badly as Humans?; Rossa Ó Muireartaigh**

Novel Superconducting Phases in Copper Oxides and Iron-oxypnictides: NMR Studies

We reexamine the novel phase diagrams of antiferromagnetism (AFM) and high-Tc$superconductivity (HTSC) for a disorder-free CuO$_2$plane based on an evaluation of local hole density ($p$) by site-selective Cu-NMR studies on multilayered copper oxides. Multilayered systems provide us with the opportunity to research the characteristics of the disorder-free CuO$_2$plane. The site-selective NMR is the best and the only tool used to extract layer-dependent characteristics. Consequently, we have concluded that the uniform mixing of AFM and SC is a general property inherent to a single CuO$_2$plane in an underdoped regime of HTSC. The$T$=0 phase diagram of AFM constructed here is in quantitative agreement with the theories in a strong correlation regime which is unchanged even with mobile holes. This {\it Mott physics} plays a vital role for mediating the Cooper pairs to make$T_c$of HTSC very high. By contrast, we address from extensive NMR studies on electron-doped iron-oxypnictides La1111 compounds that the increase in$T_c$is not due to the development of AFM spin fluctuations, but because the structural parameters, such as the bond angle$\alpha$of the FeAs$_4$tetrahedron and the a-axis length, approach each optimum value. Based on these results, we propose that a stronger correlation in HTSC than in FeAs-based superconductors may make$T_c$ higher significantly.Comment: 5 pages, 4 figures, accepted for publication in J.Phys.Chem.Solids (2010