Decoherence induced by a chaotic enviroment: A quantum walker with a complex coin

We study the differences between the processes of decoherence induced by chaotic and regular environments. For this we analyze a family of simple models that contain both regular and chaotic environments. In all cases the system of interest is a "quantum walker," i.e., a quantum particle t...

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Detalles Bibliográficos
Autores principales:	Ermann, Leonardo, Paz, Juan Pablo, Saraceno, Marcos
Publicado:	2006
Materias:	Chaos theory Coherent light Mathematical models Decoherence Quantum walker Quantum theory
Acceso en línea:	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v73_n1_p_Ermann http://hdl.handle.net/20.500.12110/paper_10502947_v73_n1_p_Ermann
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	paper:paper_10502947_v73_n1_p_Ermann
record_format	dspace
spelling	paper:paper_10502947_v73_n1_p_Ermann2023-06-08T16:02:20Z Decoherence induced by a chaotic enviroment: A quantum walker with a complex coin Ermann, Leonardo Paz, Juan Pablo Saraceno, Marcos Chaos theory Coherent light Mathematical models Decoherence Quantum walker Quantum theory We study the differences between the processes of decoherence induced by chaotic and regular environments. For this we analyze a family of simple models that contain both regular and chaotic environments. In all cases the system of interest is a "quantum walker," i.e., a quantum particle that can move on a lattice with a finite number of sites. The walker interacts with an environment which has a D -dimensional Hilbert space. The results we obtain suggest that regular and chaotic environments are not distinguishable from each other in a (short) time scale t, which scales with the dimensionality of the environment as t log2 (D). However, chaotic environments continue to be effective over exponentially longer time scales while regular environments tend to reach saturation much sooner. We present both numerical and analytical results supporting this conclusion. The family of chaotic evolutions we consider includes the so-called quantum multibaker map as a particular case. © 2006 The American Physical Society. Fil:Ermann, L. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Paz, J.P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Saraceno, M. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2006 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v73_n1_p_Ermann http://hdl.handle.net/20.500.12110/paper_10502947_v73_n1_p_Ermann
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic	Chaos theory Coherent light Mathematical models Decoherence Quantum walker Quantum theory
spellingShingle	Chaos theory Coherent light Mathematical models Decoherence Quantum walker Quantum theory Ermann, Leonardo Paz, Juan Pablo Saraceno, Marcos Decoherence induced by a chaotic enviroment: A quantum walker with a complex coin
topic_facet	Chaos theory Coherent light Mathematical models Decoherence Quantum walker Quantum theory
description	We study the differences between the processes of decoherence induced by chaotic and regular environments. For this we analyze a family of simple models that contain both regular and chaotic environments. In all cases the system of interest is a "quantum walker," i.e., a quantum particle that can move on a lattice with a finite number of sites. The walker interacts with an environment which has a D -dimensional Hilbert space. The results we obtain suggest that regular and chaotic environments are not distinguishable from each other in a (short) time scale t, which scales with the dimensionality of the environment as t log2 (D). However, chaotic environments continue to be effective over exponentially longer time scales while regular environments tend to reach saturation much sooner. We present both numerical and analytical results supporting this conclusion. The family of chaotic evolutions we consider includes the so-called quantum multibaker map as a particular case. © 2006 The American Physical Society.
author	Ermann, Leonardo Paz, Juan Pablo Saraceno, Marcos
author_facet	Ermann, Leonardo Paz, Juan Pablo Saraceno, Marcos
author_sort	Ermann, Leonardo
title	Decoherence induced by a chaotic enviroment: A quantum walker with a complex coin
title_short	Decoherence induced by a chaotic enviroment: A quantum walker with a complex coin
title_full	Decoherence induced by a chaotic enviroment: A quantum walker with a complex coin
title_fullStr	Decoherence induced by a chaotic enviroment: A quantum walker with a complex coin
title_full_unstemmed	Decoherence induced by a chaotic enviroment: A quantum walker with a complex coin
title_sort	decoherence induced by a chaotic enviroment: a quantum walker with a complex coin
publishDate	2006
url	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v73_n1_p_Ermann http://hdl.handle.net/20.500.12110/paper_10502947_v73_n1_p_Ermann
work_keys_str_mv	AT ermannleonardo decoherenceinducedbyachaoticenviromentaquantumwalkerwithacomplexcoin AT pazjuanpablo decoherenceinducedbyachaoticenviromentaquantumwalkerwithacomplexcoin AT saracenomarcos decoherenceinducedbyachaoticenviromentaquantumwalkerwithacomplexcoin
_version_	1768546407644397568

Decoherence induced by a chaotic enviroment: A quantum walker with a complex coin

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