Classicality of the order parameter during a phase transition

We analyze the quantum to classical transition of the order parameter in second order phase transitions. We consider several toy models in nonrelativistic quantum mechanics. We study the dynamical evolution of a wave packet initially peaked around a local maximum of the potential using variational a...

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Autores principales: Lombardo, Fernando César, Mazzitelli, Francisco Diego, Monteoliva, Diana Beatriz
Publicado: 2000
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_05562821_v62_n4_p1_Lombardo
http://hdl.handle.net/20.500.12110/paper_05562821_v62_n4_p1_Lombardo
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_05562821_v62_n4_p1_Lombardo
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spelling paper:paper_05562821_v62_n4_p1_Lombardo2023-06-08T15:42:24Z Classicality of the order parameter during a phase transition Lombardo, Fernando César Mazzitelli, Francisco Diego Monteoliva, Diana Beatriz We analyze the quantum to classical transition of the order parameter in second order phase transitions. We consider several toy models in nonrelativistic quantum mechanics. We study the dynamical evolution of a wave packet initially peaked around a local maximum of the potential using variational approximations and also exact numerical results. The influence of the environment on the evolution of the density matrix and the Wigner function is analyzed in great detail. We also discuss the relevance of our results to the analysis of phase transitions in field theory. In particular, we argue that previous results about the classicality of the order parameter in O(N) models may be a consequence of the large N approximation. ©2000 The American Physical Society. Fil:Lombardo, F.C. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Mazzitelli, F.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Monteoliva, D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2000 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_05562821_v62_n4_p1_Lombardo http://hdl.handle.net/20.500.12110/paper_05562821_v62_n4_p1_Lombardo
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 analyze the quantum to classical transition of the order parameter in second order phase transitions. We consider several toy models in nonrelativistic quantum mechanics. We study the dynamical evolution of a wave packet initially peaked around a local maximum of the potential using variational approximations and also exact numerical results. The influence of the environment on the evolution of the density matrix and the Wigner function is analyzed in great detail. We also discuss the relevance of our results to the analysis of phase transitions in field theory. In particular, we argue that previous results about the classicality of the order parameter in O(N) models may be a consequence of the large N approximation. ©2000 The American Physical Society.
author Lombardo, Fernando César
Mazzitelli, Francisco Diego
Monteoliva, Diana Beatriz
spellingShingle Lombardo, Fernando César
Mazzitelli, Francisco Diego
Monteoliva, Diana Beatriz
Classicality of the order parameter during a phase transition
author_facet Lombardo, Fernando César
Mazzitelli, Francisco Diego
Monteoliva, Diana Beatriz
author_sort Lombardo, Fernando César
title Classicality of the order parameter during a phase transition
title_short Classicality of the order parameter during a phase transition
title_full Classicality of the order parameter during a phase transition
title_fullStr Classicality of the order parameter during a phase transition
title_full_unstemmed Classicality of the order parameter during a phase transition
title_sort classicality of the order parameter during a phase transition
publishDate 2000
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_05562821_v62_n4_p1_Lombardo
http://hdl.handle.net/20.500.12110/paper_05562821_v62_n4_p1_Lombardo
work_keys_str_mv AT lombardofernandocesar classicalityoftheorderparameterduringaphasetransition
AT mazzitellifranciscodiego classicalityoftheorderparameterduringaphasetransition
AT monteolivadianabeatriz classicalityoftheorderparameterduringaphasetransition
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