Abstract:
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.
Registro:
Documento: |
Artículo
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Título: | Classicality of the order parameter during a phase transition |
Autor: | Lombardo, F.C.; Monteoliva, D. |
Filiación: | Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires - Ciudad Universitaria, Pabellon I, Buenos Aires, 1428, Argentina Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires - Ciudad Universitaria, Pabellon I, Buenos Aires, 1428, Argentina
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Año: | 2000
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Volumen: | 62
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Número: | 4
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Página de inicio: | 11
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DOI: |
http://dx.doi.org/10.1103/PhysRevD.62.045016 |
Título revista: | Physical Review D - Particles, Fields, Gravitation and Cosmology
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Título revista abreviado: | Phys Rev D Part Fields Gravit Cosmol
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ISSN: | 15507998
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15507998_v62_n4_p11_Lombardo |
Referencias:
- Giulini, D., (1996) Decoherence and the Appearance of a Classical World in Quantum Theory, , Springer- Verlag, Berlin
- Molmer, K., (1997) Phys. Rev. A, 55, p. 3195
- Molmer, K., (1997) J. Mod. Opt., 44, p. 1937
- Unruh, W.G., Zurek, W.H., (1989) Phys. Rev. D, 40, p. 1071
- Zurek, W.H., (1985) Nature (London), 317, p. 505
- Zurek, W.H., (1996) Phys. Rep., 276, p. 177
- Karra, G., Rivers, R.J., (1997) Phys. Lett. B, 414, p. 28. , R.J. Rivers, in 3rd Colloque Cosmologie, Observatoire de Paris, in the proceedings, edited by H.J. de Vega and N. Sánchez (World Scientific, Singapore, 1995), p. 314
- Gill, A.J., Rivers, R.J., (1995) Phys. Rev. D, 51, p. 6949
- Cheetham, G.J., Copeland, E.J., Evans, T.S., Rivers, R.J., (1993) Phys. Rev. D, 47, p. 5316
- Stephens, G.J., Calzetta, E.A., Hu, B.L., Ramsey, S., (1999) Phys. Rev. D, 59, p. 45009
- Lombardo, F.C., Mazzitelli, F.D., (1996) Phys. Rev. D, 53, p. 2001
- Greiner, C., Muller, B., (1997) Phys. Rev. D, 55, p. 1026
- Hu, B.L., Paz, J.P., Zhang, Y., (1993) Phys. Rev. D, 45, p. 2843
- Hu, B.L., Paz, J.P., Zhang, Y., (1993) Phys. Rev. D, 47, p. 1576
- Paz, J.P., Habib, S., Zurek, W.H., (1993) Phys. Rev. D, 47, p. 488
- Guth, A., Pi, S.Y., (1985) Phys. Rev. D, 32, p. 1899
- Laflamme, R., Louko, J., (1991) Phys. Rev. D, 43, p. 3317
- Zurek, W.H., Paz, J.P., (1994) Phys. Rev. Lett., 72, p. 2508
- Kiefer, C., Lesgourgues, J., Polarski, D., Starobinsky, A.A., (1998) Class. Quantum Grav., 15, p. L67
- Kiefer, C., Polarski, D., Starobinsky, A.A., ; Jackiw, R., Kerman, A., (1979) Phys. Lett., 71A, p. 158
- Cooper, F., Pi, S.Y., Stancioff, P., (1986) Phys. Rev. D, 34, p. 3831
- Balian, R., Veneroni, R., (1981) Phys. Rev. Lett., 47, p. 1353
- Cheetham, G.J., Copeland, E.J., (1996) Phys. Rev. D, 53, p. 4125
- Feit, M., Fleck, J.A., Jr., Steiger, A., (1982) J. Comput. Phys., 47, p. 412
- Paz, J.P., Mazzitelli, F.D., (1988) Phys. Rev. D, 37, p. 2170
- Mazzitelli, F.D., Paz, J.P., (1989) Phys. Rev. D, 39, p. 2234
- Ramsey, S.A., Hu, B.L., (1997) Phys. Rev. D, 56, p. 661
- Boyanovsky, D., de Vega, H.J., (1993) Phys. Rev. D, 47, p. 2343
- Gleiser, M., Ramos, R., (1994) Phys. Rev. D, 50, p. 2441
- Cooper, F., Habib, S., Kluger, Y., Mottola, E., Paz, J.P., Anderson, P.R., (1994) Phys. Rev. D, 50, p. 2848
- Cooper, F., Kluger, Y., Mottola, E., Paz, J.P., (1995) Phys. Rev. D, 51, p. 2377. , D. Boyanovsky and H.J. de Vega, in Ref
- Boyanovsky, D., de Vega, H.J., Holman, R., (1994) Phys. Rev. D, 49, p. 2769
- Boyanovsky, D., de Vega, H.J., Holman, R., Lee, D.-S., Singh, A., (1995) Phys. Rev. D, 51, p. 4419
- Boyanovsky, D., Cormier, D., de Vega, H.J., Holman, R., Prem Kumar, S., (1998) Phys. Rev. D, 57, p. 2166
- Boyanovsky, D., Destri, C., de Vega, H.J., Holman, R., Salgado, J., (1998) Phys. Rev. D, 57, p. 7388
- Boyanovsky, D., de Vega, H.J., Holman, R., Non-equilibrium Phase Transitions in Condensed Matter and Cosmology: Spinodal Decomposition, Condensates and Defects, Lectures delivered at the NATO Advanced Study Institute: Topological Defects and the Non-Equilibrium Dynamics of Symmetry Breaking Phase Transition
- Mihaila, B., Dawson, J., Cooper, F., Brewster, M., Habib, S., The Quantum Roll in d-dimensions and the Large-d Expansion
Citas:
---------- APA ----------
Lombardo, F.C. & Monteoliva, D.
(2000)
. Classicality of the order parameter during a phase transition. Physical Review D - Particles, Fields, Gravitation and Cosmology, 62(4), 11.
http://dx.doi.org/10.1103/PhysRevD.62.045016---------- CHICAGO ----------
Lombardo, F.C., Monteoliva, D.
"Classicality of the order parameter during a phase transition"
. Physical Review D - Particles, Fields, Gravitation and Cosmology 62, no. 4
(2000) : 11.
http://dx.doi.org/10.1103/PhysRevD.62.045016---------- MLA ----------
Lombardo, F.C., Monteoliva, D.
"Classicality of the order parameter during a phase transition"
. Physical Review D - Particles, Fields, Gravitation and Cosmology, vol. 62, no. 4, 2000, pp. 11.
http://dx.doi.org/10.1103/PhysRevD.62.045016---------- VANCOUVER ----------
Lombardo, F.C., Monteoliva, D. Classicality of the order parameter during a phase transition. Phys Rev D Part Fields Gravit Cosmol. 2000;62(4):11.
http://dx.doi.org/10.1103/PhysRevD.62.045016