| Presentation | 2018-04-26 An Indication of Quantum Chaos Based on Stochastic Quantization Keita Matsuura, Hisato Fujisaka, Masaru Fukushima, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Quantum chaos is not reflected on the behavior of wave functions, namely, the solution of the Schr"{o}dinger equation, because the equation is linear. Then, we investigate quantum chaos by stochastic quantization. That is, we construct an equivalent micro classical probabilistic model of a quantum system, build a micro deterministic model by removing probabilistic fluctuation terms form the probabilistic model, and investigate whether or not the deterministic model is chaotic. Its chaotic behavior could be an indication of the chaos of the original quantum system. A quantum Rabi oscillatory system consisting of two particles between which repulsion force acts is exemplified. The obtained positive maximum Lyapunov exponent of the micro deterministic model implies that the exemplified quantum system is chaotic. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | quantum mechanical system / chaos / stochastic quantization |
| Paper # | NLP2018-2 |
| Date of Issue | 2018-04-19 (NLP) |
| Conference Information | |
| Committee | NLP |
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| Conference Date | 2018/4/26(2days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Kumaoto Univ. |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | Discrete Dynamical Systems, Sequences, etc |
| Chair | Masaharu Adachi(Tokyo Denki Univ.) |
| Vice Chair | Norikazu Takahashi(Okayama Univ.) |
| Secretary | Norikazu Takahashi(Nagaoka Univ. of Tech.) |
| Assistant | Toshihiro Tachibana(Shonan Inst. of Tech.) / Masayuki Kimura(Kyoto Univ.) |
| Paper Information | |
| Registration To | Technical Committee on Nonlinear Problems |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | An Indication of Quantum Chaos Based on Stochastic Quantization |
| Sub Title (in English) | |
| Keyword(1) | quantum mechanical system |
| Keyword(2) | chaos |
| Keyword(3) | stochastic quantization |
| 1st Author's Name | Keita Matsuura |
| 1st Author's Affiliation | Hiroshima City University(Hiroshima City Univ.) |
| 2nd Author's Name | Hisato Fujisaka |
| 2nd Author's Affiliation | Hiroshima City University(Hiroshima City Univ.) |
| 3rd Author's Name | Masaru Fukushima |
| 3rd Author's Affiliation | Hiroshima City University(Hiroshima City Univ.) |
| Date | 2018-04-26 |
| Paper # | NLP2018-2 |
| Volume (vol) | vol.118 |
| Number (no) | NLP-15 |
| Page | pp.pp.5-8(NLP), |
| #Pages | 4 |
| Date of Issue | 2018-04-19 (NLP) |