Paper Abstract and Keywords |
Presentation |
2018-04-26 10:45
An Indication of Quantum Chaos Based on Stochastic Quantization Keita Matsuura, Hisato Fujisaka, Masaru Fukushima (Hiroshima City Univ.) NLP2018-2 |
Abstract |
(in Japanese) |
(See Japanese page) |
(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) |
(in English) |
quantum mechanical system / chaos / stochastic quantization / / / / / |
Reference Info. |
IEICE Tech. Rep., vol. 118, no. 15, NLP2018-2, pp. 5-8, April 2018. |
Paper # |
NLP2018-2 |
Date of Issue |
2018-04-19 (NLP) |
ISSN |
Print edition: ISSN 0913-5685 Online edition: ISSN 2432-6380 |
Copyright and reproduction |
All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034) |
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NLP2018-2 |
Conference Information |
Committee |
NLP |
Conference Date |
2018-04-26 - 2018-04-27 |
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 |
Paper Information |
Registration To |
NLP |
Conference Code |
2018-04-NLP |
Language |
Japanese |
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) |
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quantum mechanical system |
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chaos |
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stochastic quantization |
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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.) |
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Speaker |
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Date Time |
2018-04-26 10:45:00 |
Presentation Time |
25 minutes |
Registration for |
NLP |
Paper # |
NLP2018-2 |
Volume (vol) |
vol.118 |
Number (no) |
no.15 |
Page |
pp.5-8 |
#Pages |
4 |
Date of Issue |
2018-04-19 (NLP) |
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