Anomalously Slow Cross Symmetry Phase Relaxation, Thermalized Non-Equilibrated Matter and Quantum Computing Beyond the Quantum Chaos Border

Thermalization in highly excited quantum many-body system does not necessarily mean a complete memory loss of the way the system was formed. This effect may pave a way for a quantum computing, with a large number of qubits n ≈ 100-1000, far beyond the quantum chaos border. One of the manifestations...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2006
Main Authors: Bienert, M., Flores, J., Kun, S.Yu., Seligman, T.H.
Format: Article
Language:English
Published: Інститут математики НАН України 2006
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/146432
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Anomalously Slow Cross Symmetry Phase Relaxation, Thermalized Non-Equilibrated Matter and Quantum Computing Beyond the Quantum Chaos Border / M. Bienert, J. Flores, S.Yu. Kun, T.H. Seligman // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 33 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Bienert, M.
Flores, J.
Kun, S.Yu.
Seligman, T.H.
author_facet Bienert, M.
Flores, J.
Kun, S.Yu.
Seligman, T.H.
citation_txt Anomalously Slow Cross Symmetry Phase Relaxation, Thermalized Non-Equilibrated Matter and Quantum Computing Beyond the Quantum Chaos Border / M. Bienert, J. Flores, S.Yu. Kun, T.H. Seligman // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 33 назв. — англ.
collection DSpace DC
container_title Symmetry, Integrability and Geometry: Methods and Applications
description Thermalization in highly excited quantum many-body system does not necessarily mean a complete memory loss of the way the system was formed. This effect may pave a way for a quantum computing, with a large number of qubits n ≈ 100-1000, far beyond the quantum chaos border. One of the manifestations of such a thermalized non-equilibrated matter is revealed by a strong asymmetry around 90° c.m. of evaporating proton yield in the Bi(γ,p) photonuclear reaction. The effect is described in terms of anomalously slow cross symmetry phase relaxation in highly excited quantum many-body systems with exponentially large Hilbert space dimensions. In the above reaction this phase relaxation is about eight orders of magnitude slower than energy relaxation (thermalization).
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last_indexed 2025-12-02T04:27:01Z
publishDate 2006
publisher Інститут математики НАН України
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spelling Bienert, M.
Flores, J.
Kun, S.Yu.
Seligman, T.H.
2019-02-09T17:00:07Z
2019-02-09T17:00:07Z
2006
Anomalously Slow Cross Symmetry Phase Relaxation, Thermalized Non-Equilibrated Matter and Quantum Computing Beyond the Quantum Chaos Border / M. Bienert, J. Flores, S.Yu. Kun, T.H. Seligman // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 33 назв. — англ.
1815-0659
2000 Mathematics Subject Classification: 82C10; 81V35; 81Q50; 34L25
https://nasplib.isofts.kiev.ua/handle/123456789/146432
Thermalization in highly excited quantum many-body system does not necessarily mean a complete memory loss of the way the system was formed. This effect may pave a way for a quantum computing, with a large number of qubits n ≈ 100-1000, far beyond the quantum chaos border. One of the manifestations of such a thermalized non-equilibrated matter is revealed by a strong asymmetry around 90° c.m. of evaporating proton yield in the Bi(γ,p) photonuclear reaction. The effect is described in terms of anomalously slow cross symmetry phase relaxation in highly excited quantum many-body systems with exponentially large Hilbert space dimensions. In the above reaction this phase relaxation is about eight orders of magnitude slower than energy relaxation (thermalization).
S. Kun is grateful to the organizers of the 6th International Conference “Symmetry in Nonlinear Mathematical Physics”, which took place in his beautiful home city Kyiv in June 2005, for the kind invitation and the opportunity to give a talk. We acknowledge financial support from PAPIIT project 10803 and CONACyT project 41000-F. M. Bienert is supported by a Feodor-Lynen fellowship of the Alexander-von-Humboldt foundation.
en
Інститут математики НАН України
Symmetry, Integrability and Geometry: Methods and Applications
Anomalously Slow Cross Symmetry Phase Relaxation, Thermalized Non-Equilibrated Matter and Quantum Computing Beyond the Quantum Chaos Border
Article
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spellingShingle Anomalously Slow Cross Symmetry Phase Relaxation, Thermalized Non-Equilibrated Matter and Quantum Computing Beyond the Quantum Chaos Border
Bienert, M.
Flores, J.
Kun, S.Yu.
Seligman, T.H.
title Anomalously Slow Cross Symmetry Phase Relaxation, Thermalized Non-Equilibrated Matter and Quantum Computing Beyond the Quantum Chaos Border
title_full Anomalously Slow Cross Symmetry Phase Relaxation, Thermalized Non-Equilibrated Matter and Quantum Computing Beyond the Quantum Chaos Border
title_fullStr Anomalously Slow Cross Symmetry Phase Relaxation, Thermalized Non-Equilibrated Matter and Quantum Computing Beyond the Quantum Chaos Border
title_full_unstemmed Anomalously Slow Cross Symmetry Phase Relaxation, Thermalized Non-Equilibrated Matter and Quantum Computing Beyond the Quantum Chaos Border
title_short Anomalously Slow Cross Symmetry Phase Relaxation, Thermalized Non-Equilibrated Matter and Quantum Computing Beyond the Quantum Chaos Border
title_sort anomalously slow cross symmetry phase relaxation, thermalized non-equilibrated matter and quantum computing beyond the quantum chaos border
url https://nasplib.isofts.kiev.ua/handle/123456789/146432
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