Scaling laws in the quantum-to-classical transition in chaotic systems

We study the quantum-to-classical transition in a chaotic system surrounded by a diffusive environment. First, we analyze the emergence of classicality when it is monitored by the Renyi entropy, a measure of the entanglement of a system with its environment. We show that the Renyi entropy has a tran...

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Autores principales:	Wisniacki, Diego A., Toscano, Fabricio
Publicado:	2009
Materias:	Entropy Phase space methods Classical behaviors Decoherence Phase-space distributions Planck constants Quantum behaviors Quantum coherences Quantum-to-classical transitions Renyi entropies Scaling law Scalings Chaotic systems
Acceso en línea:	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v79_n2_p_Wisniacki http://hdl.handle.net/20.500.12110/paper_15393755_v79_n2_p_Wisniacki
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	paper:paper_15393755_v79_n2_p_Wisniacki
record_format	dspace
spelling	paper:paper_15393755_v79_n2_p_Wisniacki2023-06-08T16:20:39Z Scaling laws in the quantum-to-classical transition in chaotic systems Wisniacki, Diego A. Toscano, Fabricio Entropy Phase space methods Classical behaviors Decoherence Phase-space distributions Planck constants Quantum behaviors Quantum coherences Quantum-to-classical transitions Renyi entropies Scaling law Scalings Chaotic systems We study the quantum-to-classical transition in a chaotic system surrounded by a diffusive environment. First, we analyze the emergence of classicality when it is monitored by the Renyi entropy, a measure of the entanglement of a system with its environment. We show that the Renyi entropy has a transition from quantum to classical behavior that scales with eff2 D, where eff is the effective Planck constant and D is the strength of the noise. However, it was recently shown that a different scaling law controls the quantum-to-classical transition when it is measured comparing the corresponding phase-space distributions. Then, we discuss the meaning of both scalings in the precise definition of a frontier between the classical and quantum behaviors. Finally, we show that there are quantum coherences that the Renyi entropy is unable to detect, which questions its use in studies of decoherence. © 2009 The American Physical Society. Fil:Wisniacki, D.A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Toscano, F. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2009 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v79_n2_p_Wisniacki http://hdl.handle.net/20.500.12110/paper_15393755_v79_n2_p_Wisniacki
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic	Entropy Phase space methods Classical behaviors Decoherence Phase-space distributions Planck constants Quantum behaviors Quantum coherences Quantum-to-classical transitions Renyi entropies Scaling law Scalings Chaotic systems
spellingShingle	Entropy Phase space methods Classical behaviors Decoherence Phase-space distributions Planck constants Quantum behaviors Quantum coherences Quantum-to-classical transitions Renyi entropies Scaling law Scalings Chaotic systems Wisniacki, Diego A. Toscano, Fabricio Scaling laws in the quantum-to-classical transition in chaotic systems
topic_facet	Entropy Phase space methods Classical behaviors Decoherence Phase-space distributions Planck constants Quantum behaviors Quantum coherences Quantum-to-classical transitions Renyi entropies Scaling law Scalings Chaotic systems
description	We study the quantum-to-classical transition in a chaotic system surrounded by a diffusive environment. First, we analyze the emergence of classicality when it is monitored by the Renyi entropy, a measure of the entanglement of a system with its environment. We show that the Renyi entropy has a transition from quantum to classical behavior that scales with eff2 D, where eff is the effective Planck constant and D is the strength of the noise. However, it was recently shown that a different scaling law controls the quantum-to-classical transition when it is measured comparing the corresponding phase-space distributions. Then, we discuss the meaning of both scalings in the precise definition of a frontier between the classical and quantum behaviors. Finally, we show that there are quantum coherences that the Renyi entropy is unable to detect, which questions its use in studies of decoherence. © 2009 The American Physical Society.
author	Wisniacki, Diego A. Toscano, Fabricio
author_facet	Wisniacki, Diego A. Toscano, Fabricio
author_sort	Wisniacki, Diego A.
title	Scaling laws in the quantum-to-classical transition in chaotic systems
title_short	Scaling laws in the quantum-to-classical transition in chaotic systems
title_full	Scaling laws in the quantum-to-classical transition in chaotic systems
title_fullStr	Scaling laws in the quantum-to-classical transition in chaotic systems
title_full_unstemmed	Scaling laws in the quantum-to-classical transition in chaotic systems
title_sort	scaling laws in the quantum-to-classical transition in chaotic systems
publishDate	2009
url	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v79_n2_p_Wisniacki http://hdl.handle.net/20.500.12110/paper_15393755_v79_n2_p_Wisniacki
work_keys_str_mv	AT wisniackidiegoa scalinglawsinthequantumtoclassicaltransitioninchaoticsystems AT toscanofabricio scalinglawsinthequantumtoclassicaltransitioninchaoticsystems
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Scaling laws in the quantum-to-classical transition in chaotic systems

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