Nonlinear pseudospin dynamics on a noncompact manifold

We describe the motion of an SU(1,1) pseudospin vector in the frame of the mean-field approximation induced by the variational principle on linear-plus-quadratic Hamiltonians. The dynamics of the SU(1,1) states of the Perelomov type obeys a nonlinear Bloch or torquelike equation, and each orbit can...

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Autores principales: Jezek, Dora Marta, Hernández, Ester Susana
Publicado: 1990
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v42_n1_p96_Jezek
http://hdl.handle.net/20.500.12110/paper_10502947_v42_n1_p96_Jezek
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_10502947_v42_n1_p96_Jezek
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spelling paper:paper_10502947_v42_n1_p96_Jezek2023-06-08T16:01:34Z Nonlinear pseudospin dynamics on a noncompact manifold Jezek, Dora Marta Hernández, Ester Susana We describe the motion of an SU(1,1) pseudospin vector in the frame of the mean-field approximation induced by the variational principle on linear-plus-quadratic Hamiltonians. The dynamics of the SU(1,1) states of the Perelomov type obeys a nonlinear Bloch or torquelike equation, and each orbit can be interpreted as the intersection of two quadrics, one representing the energy surface and the other the group manifold, both in the space of the averaged algebra generators or semiclassical pseudospin. The fixed points of the flow can be also determined by resorting to strictly geometric considerations. The evolution of the phase diagram in parameter space is investigated as well for selected Hamiltonians. The bifurcation sets are constructed and the nonthermodynamic phase transitions can be clearly identified for the systems under consideration. © 1990 The American Physical Society. Fil:Jezek, D.M. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Hernandez, E.S. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 1990 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v42_n1_p96_Jezek http://hdl.handle.net/20.500.12110/paper_10502947_v42_n1_p96_Jezek
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 describe the motion of an SU(1,1) pseudospin vector in the frame of the mean-field approximation induced by the variational principle on linear-plus-quadratic Hamiltonians. The dynamics of the SU(1,1) states of the Perelomov type obeys a nonlinear Bloch or torquelike equation, and each orbit can be interpreted as the intersection of two quadrics, one representing the energy surface and the other the group manifold, both in the space of the averaged algebra generators or semiclassical pseudospin. The fixed points of the flow can be also determined by resorting to strictly geometric considerations. The evolution of the phase diagram in parameter space is investigated as well for selected Hamiltonians. The bifurcation sets are constructed and the nonthermodynamic phase transitions can be clearly identified for the systems under consideration. © 1990 The American Physical Society.
author Jezek, Dora Marta
Hernández, Ester Susana
spellingShingle Jezek, Dora Marta
Hernández, Ester Susana
Nonlinear pseudospin dynamics on a noncompact manifold
author_facet Jezek, Dora Marta
Hernández, Ester Susana
author_sort Jezek, Dora Marta
title Nonlinear pseudospin dynamics on a noncompact manifold
title_short Nonlinear pseudospin dynamics on a noncompact manifold
title_full Nonlinear pseudospin dynamics on a noncompact manifold
title_fullStr Nonlinear pseudospin dynamics on a noncompact manifold
title_full_unstemmed Nonlinear pseudospin dynamics on a noncompact manifold
title_sort nonlinear pseudospin dynamics on a noncompact manifold
publishDate 1990
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v42_n1_p96_Jezek
http://hdl.handle.net/20.500.12110/paper_10502947_v42_n1_p96_Jezek
work_keys_str_mv AT jezekdoramarta nonlinearpseudospindynamicsonanoncompactmanifold
AT hernandezestersusana nonlinearpseudospindynamicsonanoncompactmanifold
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