Abstract : Chaotic supremacy will be discussed from the perspective of applied mathematics such as applied chaos theory and new device technologies such as laser chaos for terahertz generation and off-shell science. Innovative applied chaos research cases from academia as well as industry, which has been studying applied chaos for many years, will also be presented.
Organizer(s) : Ken Umeno, Fumiyoshi Kuwashima, (4) Takashi Isoshima
[05241] Exactly Solvable Chaos and Its Use to Realize Chaotic Supremacy
Format : Talk at Waseda University
Author(s) :
Ken Umeno (Kyoto University)
Abstract : Theory of exactly solvable chaos, whose ergodic invariant measure is explicitly obtained, is firstly
reviewed as a key concept to analyze chaotic supremacy analytically. Superefficient
chaotic Monte Carlo computation is one of the key examples to realize chaotic supremacy.
Then we discuss a possible relation between chaotic supremacy and quantum supremacy from the
view point of the connection of chaotic superefficiency realized by primitive root codes (discretization of exactly solvable chaos) with quantum Grover's algorithm.
[04036] Stable THz waves using laser chaos
Format : Talk at Waseda University
Author(s) :
Fumiyoshi Kuwashima (Fukui Univ. of Tech.)
Mona Jarrahi (Electrical and Computer Engineering Department, University of California Los Angeles)
Semih Cakmakyapan (Electrical and Computer Engineering Department, University of California Los Angeles)
Osamu Morikawa (Chair of Liberal Arts, Japan Coast Guard Academy)
Takuya Shirao (Fukui Univ. of Tech.)
Kazuyuki Iwao (Fukui Univ. of Tech.)
Kazuyoshi Kurihara (School of Education., University. of Fukui)
Hideaki Kitahara (Research Center for Development of Far-Infrared Region, University of Fukui)
Takashi Furuya (Research Center for Development of Far-Infrared Region, University of Fukui)
Yuki Kawakami ( National Institute of Technology (KOSEN), Fukui College)
Takeshi Moriyasu (UniversFaculty of Engineering, University of Fukuiity of Fukui)
Kenji Wada (Osaka Metropolitan University)
Makoto Nakajima (Institute of Laser engineering, Osaka Univ.)
Masahiko Tani ( Research Center for Development of Far-Infrared Region)
Abstract : Efficiency of optical beats in a chaotically oscillating laser is confirmed comparing that of free running CW laser using a highly efficient plasmonic photomixer. The great potential of chaotically oscillating lasers is verified for THz systems. This is one of the proof of Chaotic Supremacy in real system.
[04023] Application of entropic chaos degree to Lorenz system
Format : Talk at Waseda University
Author(s) :
Kei Inoue (Sanyo-Onoda City University)
Abstract : The entropic chaos degree was introduced to measure the chaos of a dynamical system in Information Dynamics. It is computable for any time series, even if the dynamical system is unknown. Recently the extended entropic chaos degree was proposed, equal to the total sum of the Lyapunov exponents under typical chaotic conditions. In this study, I try to measure the chaos of the Lorenz system by the extended entropic chaos degree.
[03810] Chaos-like behavior of two-dimensional optical bistable device with external feedback
Format : Talk at Waseda University
Author(s) :
Takashi Isoshima (RIKEN-CPR)
Abstract : Bistable system with a spatial expanse can provide a wavefront, an interface between two stable states, that can propagate. We investigate a two-dimensional optical bistable device (2DOBD) based on thermo-optical positive feedback for natural computing including maze exploration. Addition of external feedback to the device can realize complex spatio-temporal behavior. Refractory feedback, inspired by the refractory period of a nerve cell, provides propagating pulse generation, and under some condition, chaotic behavior of the pulses.
[03967] Quantification of Orbital Instability of Chaotic Laser Diodes by Modified Orbital Expansion Exponent
Format : Talk at Waseda University
Author(s) :
Satoshi Ebisawa (Niigata Institute of Technology)
Abstract : Controlling the strength of orbital instability of chaotic laser, is useful for applications. To realize this, it is important to quantify the characteristics. The chaotic laser has three dynamic variables, but only the amplitude can be easily measured experimentally. Then, we introduce a modified orbital expansion exponent that considers the chaotic laser dynamics. By comparing this with the Lyapunov exponent calculated from the rate equations representing its dynamics, we show the usefulness of proposed exponent.
[03992] Development of MLD-TDS applying spintronic THz emitters excited by laser chaos light
Format : Talk at Waseda University
Author(s) :
Takeshi Moriyasu (University of Fukui)
Ryunosuke Noda (University of Fukui)
Kaede Miyaguchi (University of Fukui)
Shudai Katono (University of Fukui)
Masahiko Tani (University of Fukui)
Hideaki Kitahara (University of Fukui)
Fumiyoshi Kuwashima (Fukui University of Technology)
Mitsutaka Kumakura (University of Fukui)
Abstract : A terahertz time-domain spectrometer with a multimode laser diode as light source (MLD-TDS) is an inexpensive terahertz spectrometer, since an expensive pulse laser system is not used. However, MLD-TDS has not been widely adopted in practical applications due to the sub-optimal radiation efficiency and stability etc. We propose the applying of spintronic THz emitters and laser chaos light into the MLD-TDS system, with the aim of compensating for the deficiencies and enhancing the overall performance.
[04083] Quantum walk analysis of spatial distribution of dressed-photon-phonon
Format : Online Talk on Zoom
Author(s) :
Motoichi Ohtsu (Research Origin for Dressed Photon)
Etsuo Segawa (Yokohama National University)
Kenta Yuki (Middenii)
Seiken Saito (Kogakuin University)
Abstract : This paper analyzes the spatial distribution of a dressed-photon–phonon (DPP) that is confined by a boron (B) atom-pair in a silicon light-emitting diode by using a two-dimensional quantum walk model. It is confirmed that the DPP is confined by the B atom-pair, which is oriented along a direction perpendicular to that of the incident light propagation. The dependence of the confined DPP probability on the length of the B atom-pair is analyzed.
[04616] Quantum Fields as Category Algebras
Format : Talk at Waseda University
Author(s) :
Hayato Saigo (Nagahama Institute of Bio-Science and Technology)
Abstract : In the present talk we propose a new approach to quantum fields in terms of category algebras and states on categories. We define quantum fields and their states as category algebras and states on causal categories with partial involution structures. Based on this framework, we propose a foundation for off-shell sciences such as dressed phoon studies.
