Artículo

Dukelsky, J.; Dussel, G.G.; Esebbag, C.; Pittel, S. "Exactly solvable models for atom-molecule hamiltonians" (2004) Physical Review Letters. 93(5):050403-1-050403-4
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 el artículo en la página del editor
Consulte la política de Acceso Abierto del editor

Abstract:

The generalizations of the Jaynes-Cummings model involving the interaction of an ensemble of SU(2) or SU(1,1) quasispins with a single boson field were discussed. The SU(2) models describe fermions pairs and their coupling to a bosonic mode and SU(1,1) model describe the corresponding physics of bosonic pairs. It was found that the models were exactly solvable for fermionic and bosonic atoms interacting with dimers. The results show that the application to systems of fermionic atoms and molecular dimers was of special interest due to the generation of ultrasound molecular BECs from the conversion of 40K and 6Li fermionic atoms.

Registro:

Documento: Artículo
Título:Exactly solvable models for atom-molecule hamiltonians
Autor:Dukelsky, J.; Dussel, G.G.; Esebbag, C.; Pittel, S.
Filiación:Inst. de Estructura de la Materia, CSIC, Serrano 123, 28006 Madrid, Spain
Depto. de Fis. Juan Jose Giambiagi, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina
Departamento de Matemáticas, Universidad de Alcalá, 28871 Alcalá de Henares, Spain
Bartol Research Institute, University of Delaware, Newark, DE 19716, United States
Palabras clave:Atom-molecule hamiltonians; Bose-Einstein condensates (BEC); Boson fields; Jaynes-Cummings (JC) model; Approximation theory; Degrees of freedom (mechanics); Dimers; Eigenvalues and eigenfunctions; Fermions; Integral equations; Magnetic field effects; Mathematical models; Nonlinear control systems; Parameter estimation; Problem solving; Quantum theory; Resonance; Hamiltonians
Año:2004
Volumen:93
Número:5
Página de inicio:050403
Página de fin:1-050403-4
DOI: http://dx.doi.org/10.1103/PhysRevLett.93.050403
Título revista:Physical Review Letters
Título revista abreviado:Phys Rev Lett
ISSN:00319007
CODEN:PRLTA
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00319007_v93_n5_p050403_Dukelsky

Referencias:

  • Jaynes, E., Cummings, F., (1963) Proc. IEEE, 51, p. 89
  • Rempe, G., Walther, H., Klein, N., (1987) Phys. Rev. Lett., 58, p. 353
  • Raizen, M.G., (1989) Phys. Rev. Lett., 63, p. 240
  • Tavis, M., Cummings, F.W., (1968) Phys. Rev., 170, p. 379
  • Bogoliubov, N.M., Bullough, R.K., Timonen, J., (1996) J. Phys. A, 29, p. 6305
  • Buck, B., Sukumar, C.V., (1981) Phys. Lett., 81 A, p. 132
  • Rybin, A., (1998) J. Phys. A, 31, p. 4705
  • Vadeiko, I.P., Miroshnichenko, G.P., Rybin, A.V., Timonen, J., (2003) Phys. Rev. A, 67, p. 053808
  • Links, J., Zhou, H.-Q., McKenzie, R.H., Gould, M.D., (2003) J. Phys. A, 36, pp. R63
  • Milstein, J.N., Kokkelmans, S.J.J.M.F., Holland, M.J., (2002) Phys. Rev. A, 66, p. 043604
  • Mølmer, K., (2003) Phys. Rev. Lett., 90, p. 110403
  • Xu, K., (2003) Phys. Rev. Lett., 91, p. 210402
  • Greiner, M., Regal, C.A., Jin, D.S., (2003) Nature (London), 426, p. 537
  • Jochim, S., (2003) Science, 302, p. 2101
  • Dukelsky, J., Esebbag, C., Schuck, P., (2001) Phys. Rev. Lett., 87, p. 066403
  • J. Dukelsky, S. Pittel, and G. Sierra (to be published); Gaudin, M., (1976) J. Phys. (Paris), 37, p. 1087
  • M. Kostrun and J. Javanainen, cond-mat/0308259; Radzihovsky, L., Park, J., (2004) Phys. Rev. Lett., 92, p. 160402
  • M. W. J. Romans et al., cond-mat/0312446; Phys. Rev. Lett., , to be published
  • A. Kundu, quant-ph/0307102

Citas:

---------- APA ----------
Dukelsky, J., Dussel, G.G., Esebbag, C. & Pittel, S. (2004) . Exactly solvable models for atom-molecule hamiltonians. Physical Review Letters, 93(5), 050403-1-050403-4.
http://dx.doi.org/10.1103/PhysRevLett.93.050403
---------- CHICAGO ----------
Dukelsky, J., Dussel, G.G., Esebbag, C., Pittel, S. "Exactly solvable models for atom-molecule hamiltonians" . Physical Review Letters 93, no. 5 (2004) : 050403-1-050403-4.
http://dx.doi.org/10.1103/PhysRevLett.93.050403
---------- MLA ----------
Dukelsky, J., Dussel, G.G., Esebbag, C., Pittel, S. "Exactly solvable models for atom-molecule hamiltonians" . Physical Review Letters, vol. 93, no. 5, 2004, pp. 050403-1-050403-4.
http://dx.doi.org/10.1103/PhysRevLett.93.050403
---------- VANCOUVER ----------
Dukelsky, J., Dussel, G.G., Esebbag, C., Pittel, S. Exactly solvable models for atom-molecule hamiltonians. Phys Rev Lett. 2004;93(5):050403-1-050403-4.
http://dx.doi.org/10.1103/PhysRevLett.93.050403