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Abstract:

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.

Registro:

Documento: Artículo
Título:Nonlinear pseudospin dynamics on a noncompact manifold
Autor:Jezek, D.M.; Hernandez, E.S.
Filiación:Departamento de Fisica, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina
Año:1990
Volumen:42
Número:1
Página de inicio:96
Página de fin:105
DOI: http://dx.doi.org/10.1103/PhysRevA.42.96
Título revista:Physical Review A
ISSN:10502947
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v42_n1_p96_Jezek

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Citas:

---------- APA ----------
Jezek, D.M. & Hernandez, E.S. (1990) . Nonlinear pseudospin dynamics on a noncompact manifold. Physical Review A, 42(1), 96-105.
http://dx.doi.org/10.1103/PhysRevA.42.96
---------- CHICAGO ----------
Jezek, D.M., Hernandez, E.S. "Nonlinear pseudospin dynamics on a noncompact manifold" . Physical Review A 42, no. 1 (1990) : 96-105.
http://dx.doi.org/10.1103/PhysRevA.42.96
---------- MLA ----------
Jezek, D.M., Hernandez, E.S. "Nonlinear pseudospin dynamics on a noncompact manifold" . Physical Review A, vol. 42, no. 1, 1990, pp. 96-105.
http://dx.doi.org/10.1103/PhysRevA.42.96
---------- VANCOUVER ----------
Jezek, D.M., Hernandez, E.S. Nonlinear pseudospin dynamics on a noncompact manifold. 1990;42(1):96-105.
http://dx.doi.org/10.1103/PhysRevA.42.96