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2009 | 7 | 4 | 738-746
Tytuł artykułu

Relation between chaos probability and zero-point number of the Melnikov function for a Bose-Einstein condensate

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
We investigate an attractive Bose-Einstein condensate perturbed by a weak traveling optical superlattice. It is demonstrated that under a stochastic initial set and in a given parameter region solitonic chaos appears with a certain probability that is tightly related to the zero-point number of the Melnikov function; the latter depends on the potential parameters. Effects of the lattice depths and wave vectors on the chaos probability are studied analytically and numerically, and different chaotic regions of the parameter space are found. The results suggest a feasible method for strengthening or weakening chaos by modulating the potential parameters experimentally.
Wydawca

Czasopismo
Rocznik
Tom
7
Numer
4
Strony
738-746
Opis fizyczny
Daty
wydano
2009-12-01
online
2009-07-21
Twórcy
autor
  • Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of the Ministry of Education, and Department of Physics, Hunan Normal University, Changsha, 410081, China
autor
  • Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of the Ministry of Education, and Department of Physics, Hunan Normal University, Changsha, 410081, China, whhai2005@yahoo.com.cn
  • Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of the Ministry of Education, and Department of Physics, Hunan Normal University, Changsha, 410081, China
Bibliografia
  • [1] F. Fölling et al., Nature 434, 481 (2005) http://dx.doi.org/10.1038/nature03500[Crossref]
  • [2] B. Wu, Q. Niu, New J. Phys. 5, 104 (2003) http://dx.doi.org/10.1088/1367-2630/5/1/104[Crossref]
  • [3] D. Jaksch, P. Zoller, New J. Phys. 5, 56 (2003) http://dx.doi.org/10.1088/1367-2630/5/1/356[Crossref]
  • [4] S. Peil et al., Phys. Rev. A 67, 051603(R) (2003) http://dx.doi.org/10.1103/PhysRevA.67.051603[Crossref]
  • [5] P. Buonsante, V. Penna, A. Vezzani, Phys. Rev. A 70, 061603(R) (2004)
  • [6] B. M. Breid, D. Witthaut, H. J. Korsch, New J. Phys. 9, 62 (2007) http://dx.doi.org/10.1088/1367-2630/9/3/062[Crossref]
  • [7] J. H. Denschlag et al., J. Phys. B 35, 3095 (2002) http://dx.doi.org/10.1088/0953-4075/35/14/307[Crossref]
  • [8] L. Fallani et al., Phys. Rev. Lett. 91, 240405 (2003) http://dx.doi.org/10.1103/PhysRevLett.91.240405[Crossref]
  • [9] B. Eiermann et al., Phys. Rev. Lett. 92, 230401 (2004) http://dx.doi.org/10.1103/PhysRevLett.92.230401[Crossref]
  • [10] G. Chong, W. Hai, Q. Xie, Phys. Rev. E 70, 036213 (2004) http://dx.doi.org/10.1103/PhysRevE.70.036213[Crossref]
  • [11] F. Dalfovo, S. Giorgini, L. P. Pitaevskii, S. Stringari, Rev. Mod. Phys. 71, 463 (1999) http://dx.doi.org/10.1103/RevModPhys.71.463[Crossref]
  • [12] E. P. Gross, Nuovo Cimento 20, 454 (1961) http://dx.doi.org/10.1007/BF02731494[Crossref]
  • [13] L. P. Pitaevskii, Sov. Phys. JETP-USSR 13, 451 (1961)
  • [14] F. Kh. Abdullaev, R. Galimzyanov, J. Phys. B, 1099 (2003) http://dx.doi.org/10.1088/0953-4075/36/6/302[Crossref]
  • [15] J. Xue, J. Phys. B 38, 3841 (2005) http://dx.doi.org/10.1088/0953-4075/38/21/006[Crossref]
  • [16] B. B. Baizakov, B. A. Malomed, M. Salerno, Phys. Rev. E 74, 066615 (2006) http://dx.doi.org/10.1103/PhysRevE.74.066615[Crossref]
  • [17] T. Mayteevarunyoo, B. A. Malomed, M. Krairiksh, Phys. Rev. A 76, 053612 (2007) http://dx.doi.org/10.1103/PhysRevA.76.053612[Crossref]
  • [18] F. Kh. Abdullaev, R. A. Kraenkel, Phys. Rev. A 62, 023613 (2000) http://dx.doi.org/10.1103/PhysRevA.62.023613[Crossref]
  • [19] C. Zhang, J. Liu, M. G. Raizen, Q. Niu, Phys. Rev. Lett. 93, 074101 (2004) http://dx.doi.org/10.1103/PhysRevLett.93.074101[Crossref]
  • [20] C. Lee, J. Brand, Europhys. Lett. 73, 321 (2006) http://dx.doi.org/10.1209/epl/i2005-10408-4[Crossref]
  • [21] K. Nozaki, N. Bekki, Phys. Rev. Lett. 50, 1226 (1983) http://dx.doi.org/10.1103/PhysRevLett.50.1226[Crossref]
  • [22] H. T. Moon, M. V. Goldman, Phys. Rev. Lett. 53, 1821 (1984) http://dx.doi.org/10.1103/PhysRevLett.53.1821[Crossref]
  • [23] R. Scharf, A. R. Bishop, Phys. Rev. A 46, R2973 (1992) http://dx.doi.org/10.1103/PhysRevA.46.R2973[Crossref]
  • [24] P. V. Elyutin, A. V. Buryak, V. V. Gubernov, R. A. Sammut, I. N. Towers, Phys. Rev. E 64, 016607 (2001) http://dx.doi.org/10.1103/PhysRevE.64.016607[Crossref]
  • [25] F. Kh. Abdullaev, E. N. Tsoy, B. A. Malomed, R. A. Kraenkel, Phys. Rev. A 68, 053606 (2003) http://dx.doi.org/10.1103/PhysRevA.68.053606[Crossref]
  • [26] A. D. Martin, C. S. Adams, S. A. Gardiner, Phys. Rev. Lett. 98, 020402 (2007) http://dx.doi.org/10.1103/PhysRevLett.98.020402[Crossref]
  • [27] J. Xu, W. Hai, H. Li, Chin. Phys. 16, 2244 (2007) http://dx.doi.org/10.1088/1009-1963/16/8/015[Crossref]
  • [28] F. Li, W. Shu, J. Jiang, H. Luo, Z. Ren, Eur. Phys. J. D 41, 355 (2007) http://dx.doi.org/10.1140/epjd/e2006-00247-3[Crossref]
  • [29] Z. Wang, K. Shen, Cent. Eur. J. Phys. 6 402 (2008) http://dx.doi.org/10.2478/s11534-008-0063-8[Crossref]
  • [30] V. K. Melnikov, Trans. Moscow Math. Soc. 12, 1 (1963)
  • [31] Z. Liu, Perturbation Criteria for Chaos (Shanghai Scientific and Technological Education Press, Shanghai, 1994) (in Chinese)
  • [32] S. Parthasarathy, Phys. Rev. A 46, 2147 (1992) http://dx.doi.org/10.1103/PhysRevA.46.2147[Crossref]
  • [33] W. Hai et al., Phys. Lett. A 275, 54 (2000) http://dx.doi.org/10.1016/S0375-9601(00)00551-X[Crossref]
  • [34] C. Lee, W. Hai, L. Shi, X. Zhu, K. Gao, Phys. Rev. A 64, 053604 (2001) http://dx.doi.org/10.1103/PhysRevA.64.053604[Crossref]
  • [35] W. Hai, C. Lee, G. Chong, L. Shi, Phys. Rev. E 66, 026202 (2002) http://dx.doi.org/10.1103/PhysRevE.66.026202[Crossref]
  • [36] K. Yagasaki, Phys. Rev. B 70, 245419 (2004) http://dx.doi.org/10.1103/PhysRevB.70.245419[Crossref]
  • [37] J. Liu, W. Wang, C. Zhang, Q. Niu, B. Li, Phys. Rev. A 72, 063623 (2005) http://dx.doi.org/10.1103/PhysRevA.72.063623[Crossref]
  • [38] G. Wang, L. Fu, J. Liu, Phys. Rev. A 73, 013619 (2006) http://dx.doi.org/10.1103/PhysRevA.73.013619[Crossref]
  • [39] J. Liu, C. Zhang, M. G. Raizen, Q Niu, Phys. Rev. A 73, 013601 (2006) http://dx.doi.org/10.1103/PhysRevA.73.013601[Crossref]
  • [40] K. M. Cuomo, A. V. Oppenheim, Phys. Rev. Lett. 71, 65 (1993) http://dx.doi.org/10.1103/PhysRevLett.71.65[Crossref]
  • [41] X. Li, H. Zhang, Y. Xue, G. Hu, Phys. Rev. E71, 016216 (2005)
  • [42] P. J. Y. Louis, E. A. Ostrovskaya, Y. S. Kivshar, Phys. Rev. A 71, 023612 (2005) http://dx.doi.org/10.1103/PhysRevA.71.023612[Crossref]
  • [43] S. A. Gardiner, D. Jaksch, R. Dum, J. I. Cirac, P. Zoller, Phys. Rev. A 62, 023612 (2000) http://dx.doi.org/10.1103/PhysRevA.62.023612[Crossref]
  • [44] A. Hasegawa, Y. Kodama, Soliton in Optical Communications (Clarendon Press, Oxford, 1995)
  • [45] B. Guo, X. Pang, Soliton (Science Press, Beijing, 1987) 8 (in Chinese)
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.-psjd-doi-10_2478_s11534-008-0159-1
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