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, F.C., Monteoliva, D.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_15507998_v62_n4_p11_Lombardo
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spelling todo:paper_15507998_v62_n4_p11_Lombardo2023-10-03T16:23:43Z Classicality of the order parameter during a phase transition Lombardo, F.C. Monteoliva, D. 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 (Formula presented) models may be a consequence of the large N approximation. © 2000 The American Physical Society. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_15507998_v62_n4_p11_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 (Formula presented) models may be a consequence of the large N approximation. © 2000 The American Physical Society.
format JOUR
author Lombardo, F.C.
Monteoliva, D.
spellingShingle Lombardo, F.C.
Monteoliva, D.
Classicality of the order parameter during a phase transition
author_facet Lombardo, F.C.
Monteoliva, D.
author_sort Lombardo, F.C.
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
url http://hdl.handle.net/20.500.12110/paper_15507998_v62_n4_p11_Lombardo
work_keys_str_mv AT lombardofc classicalityoftheorderparameterduringaphasetransition
AT monteolivad classicalityoftheorderparameterduringaphasetransition
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