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Abstract:

We study the winding-number dependence of the stationary states of a Bose-Einstein condensate in a ring-shaped lattice. The system is obtained by confining atoms in a toroidal trap with equally spaced radial barriers. We calculate the energy and angular momentum as functions of the winding number and the barrier height for two quite distinct particle numbers. In both cases we observe two clearly differentiated regimes. For low barriers, metastable vortex states are obtained up to a maximum winding number that depends on the particle number and barrier height. In this regime, the angular momentum and energy show, respectively, almost linear and quadratic dependences on the winding number. For large barrier heights, on the other hand, stationary states are obtained up to a maximum winding number that depends only on the number of lattice sites, whereas energy and angular momentum are shown to be sinusoidal functions of the winding number. © 2011 American Physical Society.

Registro:

Documento: Artículo
Título:Winding-number dependence of Bose-Einstein condensates in a ring-shaped lattice
Autor:Jezek, D.M.; Cataldo, H.M.
Filiación:IFIBA-CONICET, Departamento de Física, Ciudad Universitaria, 1428 Buenos Aires, Argentina
Palabras clave:Barrier heights; Bose-Einstein condensates; Lattice sites; Particle numbers; Quadratic dependence; Sinusoidal functions; Stationary state; Toroidal trap; Vortex state; Winding number; Angular momentum; Statistical mechanics; Steam condensers; Winding
Año:2011
Volumen:83
Número:1
DOI: http://dx.doi.org/10.1103/PhysRevA.83.013629
Título revista:Physical Review A - Atomic, Molecular, and Optical Physics
Título revista abreviado:Phys Rev A
ISSN:10502947
CODEN:PLRAA
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v83_n1_p_Jezek

Referencias:

  • Gati, R., Oberthaler, M.K., (2007) J. Phys. B, 40, p. 61. , JPAPEH 0953-4075 10.1088/0953-4075/40/10/R01
  • Asad-Uz-Zaman, M., Blume, D., (2009) Phys. Rev. A, 80, p. 053622. , PLRAAN 1050-2947 10.1103/PhysRevA.80.053622
  • Teichmann, N., Esmann, M., Weiss, C., (2009) Phys. Rev. A, 79, p. 063620. , PLRAAN 1050-2947 10.1103/PhysRevA.79.063620
  • Witthaut, D., Trimborn, F., Wimberger, S., (2009) Phys. Rev. A, 79, p. 033621. , PLRAAN 1050-2947 10.1103/PhysRevA.79.033621
  • Martinez, M.T., Posazhennikova, A., Kroha, J., (2009) Phys. Rev. Lett., 103, p. 105302. , PRLTAO 0031-9007 10.1103/PhysRevLett.103.105302
  • Juliá-Díaz, B., Dagnino, D., Lewenstein, M., Martorell, J., Polls, A., (2010) Rev. A, 81, p. 023615. , PLRAAN 1050-2947 10.1103/PhysRevA.81.023615
  • Zapata, I., Sols, F., Leggett, A.J., (1998) Phys. Rev. A, 57, p. 28. , PLRAAN 1050-2947 10.1103/PhysRevA.57.R28
  • Zapata, I., Sols, F., Leggett, A.J., (2003) Phys. Rev. A, 67, p. 021603. , PLRAAN 1050-2947 10.1103/PhysRevA.67.021603
  • Smerzi, A., Fantoni, S., Giovanazzi, S., Shenoy, S.R., (1997) Phys. Rev. Lett., 79, p. 4950. , PRLTAO 0031-9007 10.1103/PhysRevLett.79.4950
  • Raghavan, S., Smerzi, A., Fantoni, S., Shenoy, S.R., (1999) Phys. Rev. A, 59, p. 620. , PLRAAN 1050-2947 10.1103/PhysRevA.59.620
  • Ananikian, D., Bergeman, T., (2006) Phys. Rev. A, 73, p. 013604. , PLRAAN 1050-2947 10.1103/PhysRevA.73.013604
  • Albiez, M., Gati, R., Fölling, J., Hunsmann, S., Cristiani, M., Oberthaler, M.K., (2005) Phys. Rev. Lett., 95, p. 010402. , PRLTAO 0031-9007 10.1103/PhysRevLett.95.010402
  • Scherer, D.R., Weiler, C.N., Neely, T.W., Anderson, B.P., (2007) Phys. Rev. Lett., 98, p. 110402. , PRLTAO 0031-9007 10.1103/PhysRevLett.98.110402
  • Ghosh, P., Sols, F., (2008) Phys. Rev. A, 77, p. 033609. , PLRAAN 1050-2947 10.1103/PhysRevA.77.033609
  • Pérez-García, V.M., García-March, M.A., Ferrando, A., (2007) Phys. Rev. A, 75, p. 033618. , PLRAAN 1050-2947 10.1103/PhysRevA.75.033618
  • Ferrando, A., (2005) Phys. Rev. e, 72, p. 036612. , PLRAAN 1539-3755 10.1103/PhysRevE.72.036612
  • Ryu, C., Andersen, M.F., Cladé, P., Natarajan, V., Helmerson, K., Phillips, W.D., (2007) Phys. Rev. Lett., 99, p. 260401. , PRLTAO 0031-9007 10.1103/PhysRevLett.99.260401
  • Weiler, C.N., Neely, T.W., Scherer, D.R., Bradley, A.S., Davis, M.J., Anderson, B.P., (2008) Nature (London), 455, p. 948. , NATUAS 0028-0836 10.1038/nature07334
  • Capuzzi, P., Jezek, D.M., (2009) J. Phys. B, 42, p. 145301. , JPAPEH 0953-4075 10.1088/0953-4075/42/14/145301
  • Henderson, K., Ryu, C., MacCormick, C., Boshier, M.G., (2009) New J. Phys., 11, p. 043030. , NJOPFM 1367-2630 10.1088/1367-2630/11/4/043030
  • Castin, Y., Dum, R., (1999) Eur. Phys. J. D, 7, p. 399. , EPJDF6 1434-6060 10.1007/s100530050584
  • Gross, E.P., (1961) Nuovo Cimento, 20, p. 454. , NUCIAD 0029-6341 10.1007/BF02731494
  • Pitaevskii, L.P., (1961) Zh. Eksp. Teor. Fiz., 40, p. 646
  • Pitaevskii, L.P., (1961) Sov. Phys. JETP, 13, p. 451
  • Jezek, D.M., Capuzzi, P., Cataldo, H.M., (2008) J. Phys. B, 41, p. 045304. , JPAPEH 0953-4075 10.1088/0953-4075/41/4/045304
  • Ashcroft, N.W., Mermin, N.D., (1976) Solid State Physics, , Saunders College Publishing, Fort Worth
  • Cataldo, H.M., Jezek, D.M., (2009) Eur. Phys. J. D, 54, p. 585. , EPJDF6 1434-6060 10.1140/epjd/e2009-00196-3
  • Kasamatsu, K., Tsubota, M., Ueda, M., (2003) Phys. Rev. A, 67, p. 033610. , We have employed a phenomenological damped GP equation [see, e.g., PLRAAN 1050-2947 10.1103/PhysRevA.67.033610

Citas:

---------- APA ----------
Jezek, D.M. & Cataldo, H.M. (2011) . Winding-number dependence of Bose-Einstein condensates in a ring-shaped lattice. Physical Review A - Atomic, Molecular, and Optical Physics, 83(1).
http://dx.doi.org/10.1103/PhysRevA.83.013629
---------- CHICAGO ----------
Jezek, D.M., Cataldo, H.M. "Winding-number dependence of Bose-Einstein condensates in a ring-shaped lattice" . Physical Review A - Atomic, Molecular, and Optical Physics 83, no. 1 (2011).
http://dx.doi.org/10.1103/PhysRevA.83.013629
---------- MLA ----------
Jezek, D.M., Cataldo, H.M. "Winding-number dependence of Bose-Einstein condensates in a ring-shaped lattice" . Physical Review A - Atomic, Molecular, and Optical Physics, vol. 83, no. 1, 2011.
http://dx.doi.org/10.1103/PhysRevA.83.013629
---------- VANCOUVER ----------
Jezek, D.M., Cataldo, H.M. Winding-number dependence of Bose-Einstein condensates in a ring-shaped lattice. Phys Rev A. 2011;83(1).
http://dx.doi.org/10.1103/PhysRevA.83.013629