Decoherence for classically chaotic quantum maps

We study the behavior of an open quantum system, with an N-dimensional space of states, whose density matrix evolves according to a nonunitary map defined in two steps: A unitary step, where the system evolves with an evolution operator obtained by quantizing a classically chaotic map (baker’s map a...

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Publicado: 2002
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_1063651X_v65_n4_p12_Bianucci
http://hdl.handle.net/20.500.12110/paper_1063651X_v65_n4_p12_Bianucci
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_1063651X_v65_n4_p12_Bianucci
record_format dspace
spelling paper:paper_1063651X_v65_n4_p12_Bianucci2023-06-08T16:03:52Z Decoherence for classically chaotic quantum maps We study the behavior of an open quantum system, with an N-dimensional space of states, whose density matrix evolves according to a nonunitary map defined in two steps: A unitary step, where the system evolves with an evolution operator obtained by quantizing a classically chaotic map (baker’s map and Harper’s map are the two examples we consider). A nonunitary step where the evolution operator for the density matrix mimics the effect of diffusion in the semiclassical (large [formula presented] limit. The process of decoherence and the transition from quantum to classical behavior are analyzed in detail by means of numerical and analytic tools. The existence of a regime where the entropy grows with a rate that is independent of the strength of the diffusion coefficient is demonstrated. The nature of the processes that determine the production of entropy is analyzed. © 2002 The American Physical Society. 2002 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_1063651X_v65_n4_p12_Bianucci http://hdl.handle.net/20.500.12110/paper_1063651X_v65_n4_p12_Bianucci
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description We study the behavior of an open quantum system, with an N-dimensional space of states, whose density matrix evolves according to a nonunitary map defined in two steps: A unitary step, where the system evolves with an evolution operator obtained by quantizing a classically chaotic map (baker’s map and Harper’s map are the two examples we consider). A nonunitary step where the evolution operator for the density matrix mimics the effect of diffusion in the semiclassical (large [formula presented] limit. The process of decoherence and the transition from quantum to classical behavior are analyzed in detail by means of numerical and analytic tools. The existence of a regime where the entropy grows with a rate that is independent of the strength of the diffusion coefficient is demonstrated. The nature of the processes that determine the production of entropy is analyzed. © 2002 The American Physical Society.
title Decoherence for classically chaotic quantum maps
spellingShingle Decoherence for classically chaotic quantum maps
title_short Decoherence for classically chaotic quantum maps
title_full Decoherence for classically chaotic quantum maps
title_fullStr Decoherence for classically chaotic quantum maps
title_full_unstemmed Decoherence for classically chaotic quantum maps
title_sort decoherence for classically chaotic quantum maps
publishDate 2002
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_1063651X_v65_n4_p12_Bianucci
http://hdl.handle.net/20.500.12110/paper_1063651X_v65_n4_p12_Bianucci
_version_ 1768544003453616128

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