Artículo

El editor solo permite decargar el artículo en su versión post-print desde el repositorio. Por favor, si usted posee dicha versión, enviela a
Consulte la política de Acceso Abierto del editor

Abstract:

We sketch the major steps in a functional integral derivation of a new set of stochastic Gross-Pitaevsky equations (GPE) for a Bose-Einstein condensate (BEC) confined to a trap at zero temperature with the averaged effects of non-condensate modes incorporated as stochastic sources. The closed-time-path (CTP) coarse-grained effective action (CGEA) or the equivalent influence functional method is particularly suitable because it can account for the full back-reaction of the noncondensate modes on the condensate dynamics self-consistently. The Langevin equations derived here containing nonlocal dissipation together with colored and multiplicative noises are useful for a stochastic (as distinguished from a kinetic) description of the nonequilibrium dynamics of a BEC. This short paper contains original research results not yet published anywhere. © World Scientific Publishing Company.

Registro:

Documento: Artículo
Título:Stochastic Gross-Pitaevsky equation for BEC via coarse-grained effective action
Autor:Calzetta, E.; Hu, B.L.; Verdaguer, E.
Filiación:CONICET, Departamento de Fisica, Universidad de Buenos Aires-Ciudad Universitaria, 1428 Buenos Aires, Argentina
Department of Physics, University of Maryland, College Park, MD 20742, United States
Departament de Fisica Fonamental, Institut de Ciencies del Cosmos, Universität de Barcelona, Av. Diagonal 647, 08028 Barcelona, Spain
Palabras clave:Bose-Einstein condensates; Stochastic Gross-Pitaievsky equation
Año:2007
Volumen:21
Número:23-24
Página de inicio:4239
Página de fin:4247
Título revista:International Journal of Modern Physics B
Título revista abreviado:Int. J. Mod. Phys. B
ISSN:02179792
CODEN:IJPBE
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02179792_v21_n23-24_p4239_Calzetta

Referencias:

  • Gardiner, Zoller, P., (1997) Phys. Rev, A55, pp. 2902-2921
  • 58, 536-556 (1998);; 61, 033601 2000; Stoof, H., (1999) J. Low Temp. Phys, 114, p. 11. , cond-mat/9910441
  • Goral, K., Kohler, T., Gasenzer, T., Burnett, K., (2004) J. Mod. Opt, 51, p. 1731
  • Ana Maria Rey, B.L.H., Calzetta, E., Roura, A., Clark, C., (2004) Phys. Rev. A, 69, p. 033610
  • Ana Maria Rey, B.L.H., Calzetta, E., Clark, C., (2005) Phys. Rev, A72, p. 023604
  • Gardiner, C.W., Anglin, J.R., Fudge, T.I.A., The stochastic Gross-Pitaevskii equation (2002), J Phys. B 35, 1555 ()[cond-mat/0112129; Gardiner, C.W., Davis, M.J., (2003) J Phys. B, 36, p. 4731. , cond-mat/0308044
  • Schwinger, J., (1961) J. Math. Phys, 2, p. 407
  • Bakshi, P.M., Mahanthappa, K.T., (1963) J. Math. Phys, 4, p. 1
  • 4, 12 (1963);; Keldysh, L.V., (1964) Zh. Eksp. Teor. Fiz, 47, p. 1515
  • trans (1965) Sov. Phys. JEPT, 20, p. 1018
  • Chou, K., Su, Z., Hao, B., (1980) Phys. Rev. B, 22, p. 3385
  • Zhou, G., Su, Z., Hao, B., Yu, L., (1985) Phys. Rep, 118, p. 1
  • Su, Z., Chen, L.Y., Yu, X., Chou, K., (1988) Phys. Rev. B, 37, p. 9810
  • DeWitt, B.S., (1986) Quantum Concepts in Space and Time, , eds. R. Penrose and C. J. Isham Claredon Press, Oxford
  • Jordan, R.D., (1986) Phys. Rev, D33, p. 444
  • Calzetta, E., Hu, B.L., (1987) Phys. Rev. D, 35, p. 495
  • D 37, 2878 (1988); Calzetta, E., Hu, B.L., (1989) Phys. Rev, D40, p. 656
  • Campos, A., Verdaguer, E., (1994) Phys. Rev, D49, p. 1861
  • Hu, B.L., Zhang, Y., Coarse-Graining, Scaling, and Inflation, , Univ. Maryland Preprint 90-186;
  • Hu, B.L., Relativity and Gravitation: Classical and Quantum (1990) Proc. SILARG VII, Cocoyoc, Mexico, , eds. J. C. D' Olivo et al World Scientific, Singapore
  • Lombardo, F.C., Mazzitelli, F.D., (1996) Phys. Rev. D, 53, p. 2001
  • Esteban A. Calzetta, Bei-Lok Hu, Francisco D. Mazzitelli, Physics Report. 352 (2001) 459-520 [hep-th/0102199]; Feynman, R., Vernon, F., (1963) Ann. Phys. (NY), 24, p. 118
  • Feynman, R., Hibbs, A., (1965) Quantum Mechanics and Path Integrals, , McGraw, Hill, New York
  • Caldeira, A.O., Leggett, A.J., (1983) Physica, 121 A, p. 587
  • Grabert, H., Schramm, P., Ingold, G.L., (1988) Phys. Rep, 168, p. 115
  • Kleinert, H., (1990) Path Integrals in Quantum Mechanics, Statistics, and Polymer Physics, , World Scientific, Singapore
  • Hu, B.L., Paz, J.P., Zhang, Y., (1992) Phys. Rev. D, 45, p. 2843
  • D 47, 1576 (1993); Zerbe, C., Hänggi, P., (1995) Phys. Rev. E, 52, p. 1533
  • Grabert, H., (1980) J. Stat. Phys, 22, p. 537

Citas:

---------- APA ----------
Calzetta, E., Hu, B.L. & Verdaguer, E. (2007) . Stochastic Gross-Pitaevsky equation for BEC via coarse-grained effective action. International Journal of Modern Physics B, 21(23-24), 4239-4247.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02179792_v21_n23-24_p4239_Calzetta [ ]
---------- CHICAGO ----------
Calzetta, E., Hu, B.L., Verdaguer, E. "Stochastic Gross-Pitaevsky equation for BEC via coarse-grained effective action" . International Journal of Modern Physics B 21, no. 23-24 (2007) : 4239-4247.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02179792_v21_n23-24_p4239_Calzetta [ ]
---------- MLA ----------
Calzetta, E., Hu, B.L., Verdaguer, E. "Stochastic Gross-Pitaevsky equation for BEC via coarse-grained effective action" . International Journal of Modern Physics B, vol. 21, no. 23-24, 2007, pp. 4239-4247.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02179792_v21_n23-24_p4239_Calzetta [ ]
---------- VANCOUVER ----------
Calzetta, E., Hu, B.L., Verdaguer, E. Stochastic Gross-Pitaevsky equation for BEC via coarse-grained effective action. Int. J. Mod. Phys. B. 2007;21(23-24):4239-4247.
Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02179792_v21_n23-24_p4239_Calzetta [ ]