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Abstract:

We study the population dynamics of a ring-shaped optical lattice with a high number of particles per site and a low (less than ten) number of wells. Using a localized on-site basis defined in terms of stationary states, we were able to construct a multiple-mode model depending on relevant hopping and on-site energy parameters. We show that in the case of two wells, our model corresponds exactly to a recent improvement of the two-mode model. We derive a formula for the self-trapping period, which turns out to be chiefly ruled by the on-site interaction energy parameter. By comparing to time-dependent Gross-Pitaevskii simulations, we show that the multimode model results can be enhanced in a remarkable way over all the regimes by only renormalizing such a parameter. Finally, using a different approach which involves only the ground-state density, we derive an effective interaction energy parameter that turns out to be in accordance with the renormalized one. © 2013 American Physical Society.

Registro:

Documento: Artículo
Título:Multimode model for an atomic Bose-Einstein condensate in a ring-shaped optical lattice
Autor:Jezek, D.M.; Cataldo, H.M.
Filiación:IFIBA-CONICET Pabellón 1, Ciudad Universitaria, 1428 Buenos Aires, Argentina
Palabras clave:Atomic Bose-Einstein condensate; Effective interactions; Ground-state density; Interaction energy parameters; Multimode models; On-site energy; Ring-shaped optical lattices; Stationary state; Bose-Einstein condensation; Crystal lattices; Optical lattices; Optical materials; Computer simulation
Año:2013
Volumen:88
Número:1
DOI: http://dx.doi.org/10.1103/PhysRevA.88.013636
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_v88_n1_p_Jezek

Referencias:

  • 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., Gross-Pitaevskii equation for Bose particles in a double-well potential: Two-mode models and beyond (2006) Physical Review A - Atomic, Molecular, and Optical Physics, 73 (1), p. 013604. , http://oai.aps.org/oai?verb=GetRecord&Identifier=oai:aps.org: PhysRevA.73.013604&metadataPrefix=oai_apsmeta_2, DOI 10.1103/PhysRevA.73.013604
  • Jia, X.Y., Li, W.D., Liang, J.Q., (2008) Phys. Rev. A, 78, p. 023613. , PLRAAN 1050-2947 10.1103/PhysRevA.78.023613
  • Albiez, M., Gati, R., Folling, J., Hunsmann, S., Cristiani, M., Oberthaler, M.K., Direct observation of tunneling and nonlinear self-trapping in a single bosonic josephson junction (2005) Physical Review Letters, 95 (1), pp. 1-4. , http://oai.aps.org/oai/?verb=ListRecords&metadataPrefix= oai_apsmeta_2&set=journal:PRL:95, DOI 10.1103/PhysRevLett.95.010402, 010402
  • Melé-Messeguer, M., Juliá-Díaz, B., Guilleumas, M., Polls, A., Sanpera, A., (2011) New J. Phys., 13, p. 033012. , NJOPFM 1367-2630 10.1088/1367-2630/13/3/033012
  • Abad, M., Guilleumas, M., Mayol, R., Pi, M., Jezek, D.M., (2011) Europhys. Lett., 94, p. 10004. , EULEEJ 0295-5075 10.1209/0295-5075/94/10004
  • Mayteevarunyoo, T., Malomed, B.A., Dong, G., (2008) Phys. Rev. A, 78, p. 053601. , PLRAAN 1050-2947 10.1103/PhysRevA.78.053601
  • Xiong, B., Gong, J., Pu, H., Bao, W., Li, B., (2009) Phys. Rev. A, 79, p. 013626. , PLRAAN 1050-2947 10.1103/PhysRevA.79.013626
  • Zhou, Q., Porto, J.V., Das Sarma, S., (2011) Phys. Rev. A, 84, p. 031607. , PLRAAN 1050-2947 10.1103/PhysRevA.84.031607
  • Cui, B., Wang, L.C., Yi, X.X., (2010) Phys. Rev. A, 82, p. 062105. , PLRAAN 1050-2947 10.1103/PhysRevA.82.062105
  • Abad, M., Guilleumas, M., Mayol, R., Pi, M., Jezek, D.M., (2011) Phys. Rev. A, 84, p. 035601. , PLRAAN 1050-2947 10.1103/PhysRevA.84.035601
  • Jezek, D.M., Capuzzi, P., Cataldo, H.M., (2013) Phys. Rev. A, 87, p. 053625. , PLRAAN 1050-2947 10.1103/PhysRevA.87.053625
  • Creffield, C.E., Coherent control of self-trapping of cold bosonic atoms (2007) Physical Review A - Atomic, Molecular, and Optical Physics, 75 (3), p. 031607. , http://oai.aps.org/oai?verb=GetRecord&Identifier=oai:aps.org: PhysRevA.75.031607&metadataPrefix=oai_apsmeta_2, DOI 10.1103/PhysRevA.75.031607
  • Xue, J.-K., Zhang, A.-X., Liu, J., Self-trapping of Bose-Einstein condensates in optical lattices: The effect of the lattice dimension (2008) Physical Review A - Atomic, Molecular, and Optical Physics, 77 (1), p. 013602. , http://oai.aps.org/oai?verb=GetRecord&Identifier=oai:aps.org: PhysRevA.77.013602&metadataPrefix=oai_apsmeta_2, DOI 10.1103/PhysRevA.77.013602
  • Alexander, T.J., Ostrovskaya, E.A., Kivshar, Y.S., Self-trapped nonlinear matter waves in periodic potentials (2006) Physical Review Letters, 96 (4), p. 040401. , http://oai.aps.org/oai?verb=GetRecord&Identifier=oai:aps.org: PhysRevLett.96.040401&metadataPrefix=oai_apsmeta_2, DOI 10.1103/PhysRevLett.96.040401
  • Liu, B., Fu, L.-B., Yang, S.-P., Liu, J., Josephson oscillation and transition to self-trapping for Bose-Einstein condensates in a triple-well trap (2007) Physical Review A - Atomic, Molecular, and Optical Physics, 75 (3), p. 033601. , http://oai.aps.org/oai?verb=GetRecord&Identifier=oai:aps.org: PhysRevA.75.033601&metadataPrefix=oai_apsmeta_2, DOI 10.1103/PhysRevA.75.033601
  • Kolovsky, A.R., (2010) Phys. Rev. A, 82, pp. 011601R. , PLRAAN 1050-2947 10.1103/PhysRevA.82.011601
  • Adhikari, S.K., (2011) J. Phys. B, 44, p. 075301. , JPAPEH 0953-4075 10.1088/0953-4075/44/7/075301
  • Viscondi, T.F., Furuya, K., (2011) J. Phys. A, 44, p. 175301. , 1751-8113 10.1088/1751-8113/44/17/175301
  • De Liberato, S., Foot, C.J., (2006) Phys. Rev. A, 73, p. 035602. , PLRAAN 1050-2947 10.1103/PhysRevA.73.035602
  • Cataldo, H.M., Jezek, D.M., (2011) Phys. Rev. A, 84, p. 013602. , PLRAAN 1050-2947 10.1103/PhysRevA.84.013602
  • Smerzi, A., Trombettoni, A., (2003) Phys. Rev. A, 68, p. 023613. , PLRAAN 1050-2947 10.1103/PhysRevA.68.023613
  • 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
  • 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
  • Castin, Y., Dum, R., (1999) Eur. Phys. J. D, 7, p. 399. , EPJDF6 1434-6060 10.1007/s100530050584
  • Jezek, D.M., Cataldo, H.M., (2011) Phys. Rev. A, 83, p. 013629. , PLRAAN 1050-2947 10.1103/PhysRevA.83.013629
  • Jezek, D.M., Capuzzi, P., Cataldo, H.M., Metastable off-axis vortices in nonrotating Bose-Einstein condensates (2008) Journal of Physics B: Atomic, Molecular and Optical Physics, 41 (4), p. 045304. , DOI 10.1088/0953-4075/41/4/045304, PII S0953407508660368
  • 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
  • Gati, R., Oberthaler, M.K., A bosonic Josephson junction (2007) Journal of Physics B: Atomic, Molecular and Optical Physics, 40 (10), pp. R61-R89. , DOI 10.1088/0953-4075/40/10/R01, PII S0953407507117995, R01

Citas:

---------- APA ----------
Jezek, D.M. & Cataldo, H.M. (2013) . Multimode model for an atomic Bose-Einstein condensate in a ring-shaped optical lattice. Physical Review A - Atomic, Molecular, and Optical Physics, 88(1).
http://dx.doi.org/10.1103/PhysRevA.88.013636
---------- CHICAGO ----------
Jezek, D.M., Cataldo, H.M. "Multimode model for an atomic Bose-Einstein condensate in a ring-shaped optical lattice" . Physical Review A - Atomic, Molecular, and Optical Physics 88, no. 1 (2013).
http://dx.doi.org/10.1103/PhysRevA.88.013636
---------- MLA ----------
Jezek, D.M., Cataldo, H.M. "Multimode model for an atomic Bose-Einstein condensate in a ring-shaped optical lattice" . Physical Review A - Atomic, Molecular, and Optical Physics, vol. 88, no. 1, 2013.
http://dx.doi.org/10.1103/PhysRevA.88.013636
---------- VANCOUVER ----------
Jezek, D.M., Cataldo, H.M. Multimode model for an atomic Bose-Einstein condensate in a ring-shaped optical lattice. Phys Rev A. 2013;88(1).
http://dx.doi.org/10.1103/PhysRevA.88.013636