Abstract:
We study a special dynamical regime of a Bose-Einstein condensate in a ring-shaped lattice where the populations in each site remain constant during the time evolution. The states in this regime are characterized by equal occupation numbers in alternate wells and nontrivial phases, while the phase differences between neighboring sites evolve in time yielding persistent currents that oscillate around the lattice. We show that the velocity circulation around the ring lattice alternates between two values determined by the number of wells and with a specific time period that is only driven by the on-site interaction energy parameter. In contrast to the self-trapping regime present in optical lattices, the occupation number at each site does not show any oscillation and the particle imbalance does not possess a lower bound for the phenomenon to occur. These findings are predicted with a multimode model and confirmed by full three-dimensional Gross-Pitaevskii simulations using an effective on-site interaction energy parameter. © 2018 American Physical Society.
Registro:
Documento: |
Artículo
|
Título: | Blocked populations in ring-shaped optical lattices |
Autor: | Nigro, M.; Capuzzi, P.; Jezek, D.M. |
Filiación: | Universidad de Buenos Aires, Facultad de Ciencias Exactas y Naturales, Departamento de Física, Buenos Aires, Argentina IFIBA, CONICET-UBA, Ciudad Universitaria, Pabellón 1, Buenos Aires, 1428, Argentina
|
Palabras clave: | Bose-Einstein condensation; Crystal lattices; Optical materials; Statistical mechanics; Bose-Einstein condensates; Dynamical regime; Full three-dimensional; Multimode models; Occupation numbers; Persistent currents; Ring-shaped optical lattices; Site interaction; Optical lattices |
Año: | 2018
|
Volumen: | 98
|
Número: | 6
|
DOI: |
http://dx.doi.org/10.1103/PhysRevA.98.063622 |
Título revista: | Physical Review A
|
Título revista abreviado: | Phys. Rev. A
|
ISSN: | 24699926
|
Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_24699926_v98_n6_p_Nigro |
Referencias:
- Smerzi, A., Fantoni, S., Giovanazzi, S., Shenoy, S.R., (1997) Phys. Rev. Lett., 79, p. 4950
- Raghavan, S., Smerzi, A., Fantoni, S., Shenoy, S.R., (1999) Phys. Rev. A, 59, p. 620
- Ananikian, D., Bergeman, T., (2006) Phys. Rev. A, 73, p. 013604
- Jia, X.Y., Li, W.D., Liang, J.Q., (2008) Phys. Rev. A, 78, p. 023613
- Melé-Messeguer, M., Juliá-Díaz, B., Guilleumas, M., Polls, A., Sanpera, A., (2011) New J. Phys., 13, p. 033012
- Abad, M., Guilleumas, M., Mayol, R., Pi, M., Jezek, D.M., (2011) Europhys. Lett., 94, p. 10004
- Nigro, M., Capuzzi, P., Cataldo, H.M., Jezek, D.M., (2017) Eur. Phys. J. D, 71, p. 297
- Mayteevarunyoo, T., Malomed, B.A., Dong, G., (2008) Phys. Rev. A, 78, p. 053601
- Xiong, B., Gong, J., Pu, H., Bao, W., Li, B., (2009) Phys. Rev. A, 79, p. 013626
- Zhou, Q., Porto, J.V., Das Sarma, S., (2011) Phys. Rev. A, 84, p. 031607. , (R)
- Cui, B., Wang, L.C., Yi, X.X., (2010) Phys. Rev. A, 82, p. 062105
- Abad, M., Guilleumas, M., Mayol, R., Pi, M., Jezek, D.M., (2011) Phys. Rev. A, 84, p. 035601
- Albiez, M., Gati, R., Fölling, J., Hunsmann, S., Cristiani, M., Oberthaler, M.K., (2005) Phys. Rev. Lett., 95, p. 010402
- Albiez, M., (2005), Ph.D. thesis, University of Heidelberg; Gati, R., (2007), Ph.D. thesis, University of Heidelberg; Anker, Th., Albiez, M., Gati, R., Hunsmann, S., Eiermann, B., Trombettoni, A., Oberthaler, M.K., (2005) Phys. Rev. Lett., 94, p. 020403
- Wang, B., Fu, P., Liu, J., Wu, B., (2006) Phys. Rev. A, 74, p. 063610
- Creffield, C.E., (2007) Phys. Rev. A, 75, p. 031607. , (R)
- Xue, J., Zhang, A., Liu, J., (2008) Phys. Rev. A, 77, p. 013602
- Alexander, T.J., Ostrovskaya, E.A., Kivshar, Y.S., (2006) Phys. Rev. Lett., 96, p. 040401
- Liu, B., Fu, L., Yang, S., Liu, J., (2007) Phys. Rev. A, 75, p. 033601
- Adhikari, S.K., (2011) J. Phys. B: At. Mol. Opt. Phys., 44, p. 075301
- De Liberato, S., Foot, C.J., (2006) Phys. Rev. A, 73, p. 035602
- Arwas, G., Vardi, A., Cohen, D., (2014) Phys. Rev. A, 89, p. 013601
- Nigro, M., Capuzzi, P., Cataldo, H.M., Jezek, D.M., (2018) Phys. Rev. A, 97, p. 013626
- Jezek, D.M., Capuzzi, P., Cataldo, H.M., (2013) Phys. Rev. A, 87, p. 053625
- Jezek, D.M., Cataldo, H.M., (2013) Phys. Rev. A, 88, p. 013636
- Kolovsky, R., (2006) New J. Phys., 8, p. 197
- Gallemí, A., Guilleumas, M., Martorell, J., Mayol, R., Polls, A., Juliá-Díaz, B., (2016) New J. Phys., 18, p. 075005
- Burchianti, A., Fort, C., Modugno, M., (2017) Phys. Rev. A, 95, p. 023627
- Henderson, K., Ryu, C., Maccormick, C., Boshier, M.G., (2009) New J. Phys., 11, p. 043030
- Cataldo, H.M., Jezek, D.M., (2011) Phys. Rev. A, 84, p. 013602
- Gross, E.P., (1961) Nuovo Cimento, 20, p. 454
- Pitaevskii, L.P., (1961) Zh. Eksp. Teor. Fiz., 40, p. 646
- Pitaevskii, L.P., (1961) Sov. Phys. JETP, 13, p. 451
- Jezek, D.M., Cataldo, H.M., (2011) Phys. Rev. A, 83, p. 013629
- Landau, L.D., Lifshitz, E.M., (1995) Fluid Mechanics, , (Butterworth-Heinemann, New York)
- Damski, B., Sacha, K., (2003) J. Phys. A: Math. Gen., 36, p. 2339
- Chicone, C., (2006) Ordinary Differential Equations with Applications, , 2nd ed. (Springer, New York)
- Paraoanu, Gh.-S., (2003) Phys. Rev. A, 67, p. 023607
- Burger, S., Bongs, K., Dettmer, S., Ertmer, W., Sengstock, K., Sanpera, A., Shlyapnikov, G.V., Lewenstein, M., (1999) Phys. Rev. Lett., 83, p. 5198
- Denschlag, J., Simsarian, J.E., Feder, D.L., Clark, C.W., Collins, L.A., Cubizolles, J., Deng, L., Phillips, W.D., (2000) Science, 287, p. 97
- Kumar, A., Dubessy, R., Badr, T., De Rossi, C., De Goër De Herve, M., Longchambon, L., Perrin, H., (2018) Phys. Rev. A, 97, p. 043615
Citas:
---------- APA ----------
Nigro, M., Capuzzi, P. & Jezek, D.M.
(2018)
. Blocked populations in ring-shaped optical lattices. Physical Review A, 98(6).
http://dx.doi.org/10.1103/PhysRevA.98.063622---------- CHICAGO ----------
Nigro, M., Capuzzi, P., Jezek, D.M.
"Blocked populations in ring-shaped optical lattices"
. Physical Review A 98, no. 6
(2018).
http://dx.doi.org/10.1103/PhysRevA.98.063622---------- MLA ----------
Nigro, M., Capuzzi, P., Jezek, D.M.
"Blocked populations in ring-shaped optical lattices"
. Physical Review A, vol. 98, no. 6, 2018.
http://dx.doi.org/10.1103/PhysRevA.98.063622---------- VANCOUVER ----------
Nigro, M., Capuzzi, P., Jezek, D.M. Blocked populations in ring-shaped optical lattices. Phys. Rev. A. 2018;98(6).
http://dx.doi.org/10.1103/PhysRevA.98.063622