Quantum Entropies and Decoherence for the Multiparticle Quantum Arnol’d Cat

I study the scaling behavior in the physical parameters of dynamical entropies, classical and quantum, in a specifically devised model of collision-induced decoherence in a chaotic system. The treatment is fully canonical and no approximations are involved or infinite limits taken. I present this mo...

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Main Author: Giorgio Mantica
Format: Article
Language:English
Published: MDPI AG 2023-06-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/25/7/1004
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author Giorgio Mantica
author_facet Giorgio Mantica
author_sort Giorgio Mantica
collection DOAJ
description I study the scaling behavior in the physical parameters of dynamical entropies, classical and quantum, in a specifically devised model of collision-induced decoherence in a chaotic system. The treatment is fully canonical and no approximations are involved or infinite limits taken. I present this model in a detailed way, in order to clarify my views in the debate about the nature, definition, and relevance of quantum chaos.
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spelling doaj.art-2c1cca1b64d04e1f86d22126b63b4cfa2023-11-18T19:13:19ZengMDPI AGEntropy1099-43002023-06-01257100410.3390/e25071004Quantum Entropies and Decoherence for the Multiparticle Quantum Arnol’d CatGiorgio Mantica0Center for Non-Linear and Complex Systems Università dell’Insubria, Via Valleggio 11, 22100 Como, ItalyI study the scaling behavior in the physical parameters of dynamical entropies, classical and quantum, in a specifically devised model of collision-induced decoherence in a chaotic system. The treatment is fully canonical and no approximations are involved or infinite limits taken. I present this model in a detailed way, in order to clarify my views in the debate about the nature, definition, and relevance of quantum chaos.https://www.mdpi.com/1099-4300/25/7/1004classical and quantum entropieschaosquantum to classical transition
spellingShingle Giorgio Mantica
Quantum Entropies and Decoherence for the Multiparticle Quantum Arnol’d Cat
Entropy
classical and quantum entropies
chaos
quantum to classical transition
title Quantum Entropies and Decoherence for the Multiparticle Quantum Arnol’d Cat
title_full Quantum Entropies and Decoherence for the Multiparticle Quantum Arnol’d Cat
title_fullStr Quantum Entropies and Decoherence for the Multiparticle Quantum Arnol’d Cat
title_full_unstemmed Quantum Entropies and Decoherence for the Multiparticle Quantum Arnol’d Cat
title_short Quantum Entropies and Decoherence for the Multiparticle Quantum Arnol’d Cat
title_sort quantum entropies and decoherence for the multiparticle quantum arnol d cat
topic classical and quantum entropies
chaos
quantum to classical transition
url https://www.mdpi.com/1099-4300/25/7/1004
work_keys_str_mv AT giorgiomantica quantumentropiesanddecoherenceforthemultiparticlequantumarnoldcat