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Ultracold Atoms and Bose-Einstein Condensates in Optical Lattices

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Dynamics and Thermodynamics of Systems with Long-Range Interactions

Part of the book series: Lecture Notes in Physics ((LNP,volume 602))

Abstract

For ultracold and Bose-condensed atoms contained in periodic optical potential wells the quantized nature of their motion is clearly visible. The motion of the atomic wavepacket can also be accurately controlled. For those systems the long-range character of the atomic interaction and of the external potential play a key role in the quantum mechanical evolution. The basic facets of the experimental and theoretical research for atoms within optical lattice structures will be reviewed.

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References

  1. P. S. Jessen and I.H. Deutsch, Adv. At. Mol. Opt. Phys. 37, 95 (1996).

    Google Scholar 

  2. G. Grynberg and C. Triché, in Coherent and Collective Interactions of Particles. and Radiation Beams edited by A. Aspect, W. Barletta, and R. Bonifacio (IOS Press, Amsterdam) (1996).

    Google Scholar 

  3. D. R. Meacher, Cont. Phys. 39, 329 (1998).

    Article  ADS  Google Scholar 

  4. G. Grynberg and C. Robilliard, Phys. Rep. 355, 335 (2001).

    Article  ADS  Google Scholar 

  5. D. A. Steck, W.H. Oskay and M.G. Raizen, Science 293, 274 (2001) and references therein.

    Article  ADS  Google Scholar 

  6. W. K. Hensinger, H. Häffner, A. Browaeys, N.R. Heckenberg, K. Helmerson, C. McKenzie, G.J. Milburn, W.D. Phillips, S.L. Rolston, H. Rubinstein-Dunlop, and B. Upcroft, Nature 412, 52 (2001) and references therein.

    Article  ADS  Google Scholar 

  7. See, e.g., I.H. Deutsch and P.S. Jessen, Phys. Rev. A 57, 1972 (1998), and D. Jaksch, H.-J. Briegel, J.I. Cirac, C.W. Gardiner, and P. Zoller, Phys. Rev. Lett. 82, 1975 (1998).

    Article  ADS  Google Scholar 

  8. G. Kurizki, S. Giovanazzi, D. O’Dell, A. I. ArtemievNew Regimes in Cold Gases. Via Laser-Induced Long-Range Interactions, in “Dynamics and Thermodynamics of Systems with Long-Range Interactions”, T. Dauxois, S. Ruffo, E. Arimondo, M. Wilkens Eds., Lecture Notes in Physics Vol. 602, Springer (2002), (in this volume)

    Google Scholar 

  9. A. Hemmerich and T.W. Hänsch, Phys. Rev. Lett. 70, 410 (1993).

    Article  ADS  Google Scholar 

  10. G. Grynberg, B. Lounis, P. Verkerk, J.Y. Courtois, and C. Salomon, Phys. Rev. Lett. 70, 2249 (1993).

    Article  ADS  Google Scholar 

  11. see, e.g., C. Kittel, Introduction to Solid State Physics (Wiley, New York, 1996).

    Google Scholar 

  12. P. Verkerk, B. Lounis, C. Salomon, C. Cohen-Tannoudji, J.Y. Courtois, and G. Grynberg, Phys. Rev. Lett. 68, 3861 (1992).

    Article  ADS  Google Scholar 

  13. P. Rudy, R. Ejnisman, and N.P. Bigelow, Phys. Rev. Lett. 78, 4906 (1997).

    Article  ADS  Google Scholar 

  14. G. Raithel, W.D. Phillips, and S.L. Rolston, Phys. Rev. Lett. 81, 3615 (1998).

    Article  ADS  Google Scholar 

  15. F. B. J. Buchkremer, R. Bumke, H. Levsen, G. Birkl, and W. Ertmer, Phys. Rev. Lett. 85, 3121 (2000).

    Article  ADS  Google Scholar 

  16. C. Triché, L. Guidoni, P. Verkerk, and G. Grynberg, in OSA TOPS on ultra-cold. atoms and BEC, edited by K. Burnett, vol. 7, p. 82,(OSA, Washington D.C., 1996).

    Google Scholar 

  17. O. Morsch, P.H. Jones, and D.R. Meacher, Phys. Rev. A 61, 023410 (2000).

    Article  ADS  Google Scholar 

  18. M. Weidemüller, A. Hemmerich, A. Görlitz, T. Esslinger, and T.W. Hänsch, Phys. Rev. Lett. 75, 4583 (1995).

    Article  ADS  Google Scholar 

  19. G. Birkl, M. Gatzke, I.H. Deutsch, S.L. Rolston, and W.D. Phillips, Phys. Rev. Lett. 75, 2823 (1995).

    Article  ADS  Google Scholar 

  20. A. Görlitz, M. Weidemüller, T.W. Hänsch, and A. Hemmerich, Phys. Rev. Lett. 78, 2096 (1997).

    Article  Google Scholar 

  21. D. R. Meacher, S. Guibal, C. Mennerat, J.Y. Courtois, K.I. Petsas, and G. Grynberg, Phys. Rev. Lett. 74, 1958 (1995).

    Article  ADS  Google Scholar 

  22. J. Y. Courtois, S. Guibal, D.R. Meacher, P. Verkerk, and G. Grynberg, Phys. Rev. Lett. 77, 40 (1996).

    Article  ADS  Google Scholar 

  23. L. Sanchez-Palencia, F.-R. Carminati, M. Schiavoni, F. Renzoni, and G. Grynberg, Phys. Rev. Lett. 88, 133903 (2002).

    Article  ADS  Google Scholar 

  24. L. Guidoni, B. Dépret, A. di Stefano, and P. Verkerk, Phys. Rev. A 60, R4233 (1999).

    Article  ADS  Google Scholar 

  25. A. Hemmerich, M. Weidemüller, T. Esslinger, C. Zimmermann, and T.W. Hänsch, Phys. Rev. Lett. 75, 37 (1995).

    Article  ADS  Google Scholar 

  26. S. E. Hamann, D.L. Haycock, G. Klose, P.H. Pax, I.H. Deutsch, and P.S. Jessen, Phys. Rev. Lett. 80, 4149 (1998).

    Article  ADS  Google Scholar 

  27. H. Perrin, A. Kuhn, I. Bouchoule, and C. Salomon, Europhys. Lett. 42, 395 (1998).

    Article  ADS  Google Scholar 

  28. V. Vuletic, C. Chin, A.J. Kerman, and S. Chu, Phys. Rev. Lett. 81, 5768 (1998).

    Article  ADS  Google Scholar 

  29. K. W. Madison, M.C. Fischer, and M.G. Raizen, Phys. Rev. A 60, R1767 (1999).

    Article  ADS  Google Scholar 

  30. S. R. Wilkinson, C.F. Bharucha, M.C. Fischer, K.W. Madison, P.R. Morrow, Qian Niu, B. Sundaram, and M.G. Raizen, Nature 387, 575 (1997).

    Article  ADS  Google Scholar 

  31. M. C. Fischer, B. Guttierez-Medina, and M.G. Raizen, Phys. Rev. Lett. 87, 040402 (2001).

    Article  ADS  Google Scholar 

  32. C. Mennerat-Robilliard, D. Lucas, S. Guibal, J. Tabosa, C. Jurczak, J.Y. Courtois, and G. Grynberg, Phys. Rev. Lett. 82, 851 (1999).

    Article  ADS  Google Scholar 

  33. M. Ben-Dahan, E. Peik, J. Reichel, Y. Castin, and C. Salomon, Phys. Rev. Lett 76, 4508 (1996)

    Article  ADS  Google Scholar 

  34. E. Peik, M. Ben Dahan, I. Bouchoule, Y. Castin, and C. Salomon, Phys. Rev. A 55, 2989 (1997).

    Article  ADS  Google Scholar 

  35. S. R. Wilkinson, C.F. Bharucha, K.W. Madison, Qian Niu, and M.G. Raizen, Phys. Rev. Lett. 76, 4512 (1996).

    Article  ADS  Google Scholar 

  36. Qian Niu, Xian-Geng Zhao, G.A. Georgakis, and M.G. Raizen, Phys. Rev. Lett. 76, 4504 (1996).

    Article  ADS  Google Scholar 

  37. M. Raizen, C. Salomon, and Qian Niu, Phys. Today 50(7), 30 (1997).

    Article  Google Scholar 

  38. C. F. Bharucha, K.W. Madison, P.R. Morrow, S.R. Wilkinson, B. Sundaram, and M.G. Raizen, Phys. Rev. A 55, R857 (1997).

    Article  ADS  Google Scholar 

  39. See reviews by W. Ketterle, D.S. Durfee and D.M. Stamper-Kurn, and by E. Cornell et al. in Bose-Einstein condensation in atomic gases, edited by M. Inguscio, S. Stringari and C. Wieman (IOS Press, Amsterdam) (1999).

    Google Scholar 

  40. K. Berg-Sørensen and K. Mølmer, Phys. Rev. A 58, 1480 (1998).

    Article  ADS  Google Scholar 

  41. D. Jaksch, C. Bruder, J.I. Cirac, C.W. Gardiner, and P. Zoller, Phys. Rev. Lett. 81, 3108 (1998).

    Article  ADS  Google Scholar 

  42. M. Kozuma, L. Deng, E.W. Hagley, J. Wen, R. Lutwak, K. Helmerson, S.L. Rolston, and W.D. Phillips, Phys. Rev. Lett. 82, 871 (1999).

    Article  ADS  Google Scholar 

  43. Yu.B. Ovchinnikov, J.H. Müller, M.R. Doery, E.J.D. Vredenbregt, K. Helmerson, S.L. Rolston, and W.D. Phillips, Phys. Rev. Lett. 83, 284 (1999).

    Article  ADS  Google Scholar 

  44. E. W. Hagley, L. Deng, M. Kozuma, M. Trippenbach, Y. B. Band, M. Edwards, M. Doery, P. S. Julienne, K. Helmerson, S. L. Rolston, and W. D. Phillips, Phys. Rev. Lett. 83, 3112 (1999).

    Article  ADS  Google Scholar 

  45. J. Stenger, S. Inouye, A. P. Chikkatur, D. M. Stamper-Kurn, D. E. Pritchard, and W. Ketterle, Phys. Rev. Lett. 82, 4569 (1999); and erratum: Phys. Rev. Lett. 84, 2283 (2000).

    Article  ADS  Google Scholar 

  46. J. E. Simsarian, J. Denschlag, M. Edwards, C.W. Clark, L. Deng, E.W. Hagley, K. Helmerson, S.L. Rolston, and W.D. Phillips, Phys. Rev. Lett. 85, 2040 (2000).

    Article  ADS  Google Scholar 

  47. J. M. Vogels, K. Xu, C. Raman, J. R. Abo-Shaeer, and W. Ketterle, Phys. Rev. Lett. 88, 060402 (2002)

    Article  ADS  Google Scholar 

  48. J. Steinhauer, R. Ozeri, N. Katz, and N. Davidson, Phys. Rev. Lett. 88, 120407 (2002).

    Article  ADS  Google Scholar 

  49. R. Ozeri, J. Steinhauer, N. Katz, and N. Davidson, Phys. Rev. Lett. 88, 220401 (2002).

    Article  ADS  Google Scholar 

  50. B. P. Anderson and M. Kasevich, Science 282, 1686 (1998).

    Article  ADS  Google Scholar 

  51. C. Orzel, A.K. Tuchman, M.L. Fenselau, M. Yasuda, and M.A. Kasevich, Science 231, 2386 (2001).

    Article  ADS  Google Scholar 

  52. M. Greiner, O. Mandel, T. Esslinger, T.W. Hänsch, and I. Bloch, Nature 415, 6867 (2002).

    Article  Google Scholar 

  53. S. Burger, F. Cataliotti, C. Fort, F. Minardi, M. Inguscio, M.L. Chiofalo, and M.P. Tosi, Phys. Rev. Lett. 86, 4447 (2001).

    Article  ADS  Google Scholar 

  54. F. S. Cataliotti, S. Burger, C. Fort, P. Maddaloni, F. Minardi, A. Trombettoni, A. Smerzi, and M. Inguscio, Science 293, 843 (2001).

    Article  ADS  Google Scholar 

  55. O. Morsch, J.H. Müller, M. Cristiani, D. Ciampini, and E. Arimondo, Phys. Rev. Lett. 87, 140402 (2001).

    Article  ADS  Google Scholar 

  56. M. Cristiani, O. Morsch, J. H. MTller, D. Ciampini, and E. Arimondo, Phys. Rev. A 65, 063612 (2002).

    Article  ADS  Google Scholar 

  57. P. Pedri, L. Pitaevskii, S. Stringari, C. Fort, S. Burger, F.S. Cataliotti, P. Maddaloni, F. Minardi, and M. Inguscio, Phys. Rev. Lett. 87, 220401 (2001).

    Article  ADS  Google Scholar 

  58. O. Morsch, M. Cristiani, J.H. Müller, D. Ciampini, and E. Arimondo, cond-mat 0204528.

    Google Scholar 

  59. J. Hecker-Denschlag, J. E. Simsarian, H. Häffner, C. McKenzie, A. Browaeys, D. Cho, K. Helmerson, S. L. Rolston, and W. D. Phillips, J. Phys. B: At. Mol. Opt. Phys in press (2002).

    Google Scholar 

  60. S. Burger, F. S. Cataliotti, C. Fort, P. Maddaloni, F. Minardi and M. Inguscio, Europhys. Lett. 57 1 (2002).

    Article  ADS  Google Scholar 

  61. M. Greiner, I. Bloch, O. Mandel, T.W. Hänsch, and T. Esslinger, Phys. Rev. Lett. 87, 160405 (2001).

    Article  ADS  Google Scholar 

  62. S. Burger, K. Bongs, S. Dettmer, W. Ertmer, K. Sengstock, A. Sanpera, G.V. Shlyapnikov, and M. Lewenstein, Phys. Rev. Lett. 83, 5198 (1999).

    Article  ADS  Google Scholar 

  63. L. Deng, E.W. Hagley, J. Wen, M. Trippenbach, Y. Band, P.S. Julienne, J.E. Simsarian, K. Helmerson, S.L. Rolston, and W.D. Phillips, Nature 398, 6724 (1999).

    Article  Google Scholar 

  64. F. Dalfovo, S. Giorgini, L.P. Pitaevskii, and S. Stringari, Rev. Mod. Phys. 71, 463 (1999).

    Article  ADS  Google Scholar 

  65. D. I. Choi and Qian Niu, Phys. Rev. Lett. 82, 2022 (1999).

    Article  ADS  Google Scholar 

  66. A. Brunello, F. Dalfovo, L. Pitaevskii, and S. Stringari, Phys. Rev. Lett. 85, 4422 (2000).

    Article  ADS  Google Scholar 

  67. M. L. Chiofalo, S. Succi, and M.P. Tosi, Phys. Rev. A 63, 063613 (2001).

    Article  ADS  Google Scholar 

  68. M. Krämer, L. Pitaevskii, and S. Stringari, Phys. Rev. Lett. 88, 180404 (2002).

    Article  ADS  Google Scholar 

  69. J. C. Bronski, L.D. Carr, B. Deconink, and J.N. Kutz, Phys. Rev. lett. 86, 1402 (2001).

    Article  ADS  Google Scholar 

  70. B. Wu, R.B. Diener, and Qian Niu, Phys. Rev. A 65, 025601 (2002).

    Article  ADS  Google Scholar 

  71. D. Diakonov, L.M. Jensen, C.J. Pethick, and H. Smith, e-print: cond-mat/0111303.

    Google Scholar 

  72. B. Wu and Qian Niu, Phys. Rev. A 61, 023401 (2000).

    Article  ADS  Google Scholar 

  73. O. Zobay and B.M. Garraway, Phys. Rev. 61 033603 (2000).

    Article  ADS  Google Scholar 

  74. A. Trombettoni and A. Smerzi, Phys. Rev. Lett. 86, 2353 (2001).

    Article  ADS  Google Scholar 

  75. B. Wu and Qian Niu, Phys. Rev. A 64, 061603 (2001).

    Article  ADS  Google Scholar 

  76. L. Pitaevskii, and S. Stringari, Phys. Rev. Lett. 88, 180402 (2001).

    Article  Google Scholar 

  77. A. Cuccoli, A. Fubini, V. Tognetti, and R. Vaia, Phys. Rev. A 64, 061601 (2001).

    Article  ADS  Google Scholar 

  78. D. van Oosten, P. van der Straten, and H.T.C. Stoof, Phys. Rev. A 63 053601 (2001).

    Article  ADS  Google Scholar 

  79. K. Burnett, M. Edwards, C.W. Clark, and M. Shotter, J. Phys. B: At. Mol. Opt. Phys. 35, 1671 (2002).

    Article  ADS  Google Scholar 

  80. F. Kh. Abdullaev, B. B. Baizakov, S. A. Darmanyan, V. V. Konotop, and M. Salerno, Phys. Rev. A 64, 043606 (2001).

    Article  ADS  Google Scholar 

  81. V. V. Konotop and M. Salerno, Phys. Rev. A 65, 021602(R) (2002).

    Article  ADS  MathSciNet  Google Scholar 

  82. N. Tuskada, Phys. Rev. A 65, 063608 (2002).

    Article  ADS  Google Scholar 

  83. M. Kalinski, G. Metakis, and W.P. Schleich, private communication.

    Google Scholar 

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Authors and Affiliations

  1. INFM, Dipartimento di Fisica, Università di Pisa, Via Buonarroti 2, I-56127, Pisa, Italy

    Oliver Morsch & Ennio Arimondo

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  1. Oliver Morsch
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  2. Ennio Arimondo
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Editors and Affiliations

  1. Laboratoire de Physique, ENS Lyon, 46, allée d’Italie, 69007, Lyon, France

    Thierry Dauxois

  2. Dipartimento di Energetica “S. Stecco”, Universitá di Firenze, Via S. Marta, 3, 50139, Firenze, Italy

    Stefano Ruffo

  3. Dipartimento di Fisica, Universitá degli Studi di Pisa, Via F. Buonarroti, 2, 56127, Pisa, Italy

    Ennio Arimondo

  4. Institut für Physik, Universität Potsdam, Am Neuen Palais 10, 14469, Potsdam, Germany

    Martin Wilkens

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Morsch, O., Arimondo, E. (2002). Ultracold Atoms and Bose-Einstein Condensates in Optical Lattices. In: Dauxois, T., Ruffo, S., Arimondo, E., Wilkens, M. (eds) Dynamics and Thermodynamics of Systems with Long-Range Interactions. Lecture Notes in Physics, vol 602. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45835-2_10

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