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Reduced Density Matrices and Coherence of Trapped Interacting Bosons

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Many-Body Schrödinger Dynamics of Bose-Einstein Condensates

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References

  1. K. Sakmann, A.I. Streltsov, O. E. Alon, L. S. Cederbaum, Phys. Rev. A 78, 023615 (2008)

    Article  ADS  Google Scholar 

  2. M.H. Anderson, J.R. Ensher, M.R. Matthews, C.E. Cornell, E.A. Wieman, Science 269, 198 (1995)

    Article  ADS  Google Scholar 

  3. C.C. Bradley, C.A. Sackett, J.J. Tollett, R.G. Hulet, Phys. Rev. Lett. 75, 1687 (1995)

    Article  ADS  Google Scholar 

  4. K.B. Davis, M.-O. Mewes, M.R. Andrews, van N.J. Druten, D.S. Durfee, D.M. Kurn, W. Ketterle, Phys. Rev. Lett. 75, 3969 (1995)

    Article  ADS  Google Scholar 

  5. E.A. Burt, R.W. Ghrist, C.J. Myatt, M.J. Holland, E.A. Cornell, C.E. Wieman, Phys. Rev. Lett. 79, 337 (1997)

    Article  ADS  Google Scholar 

  6. L. Cacciapuoti, D. Hellweg, M. Kottke, T. Schulte, W. Ertmer, J.J. Arlt, K. Sengstock, L. Santos, M. Lewenstein, Phys. Rev. A 68, 053612 (2003)

    Article  ADS  Google Scholar 

  7. B.L. Tolra, K.M. O’Hara, J.H. Huckans, W.D. Phillips, S.L. Rolston, J.V. Porto, Phys. Rev. Lett. 92, 190401 (2004)

    Article  ADS  Google Scholar 

  8. S. Fölling, F. Gerbier, A. Widera, O. Mandel, T. Gericke, I. Bloch, Nature 434, 481 (2005)

    Article  ADS  Google Scholar 

  9. M. Schellekens, R. Hoppeler, A. Perrin, J.V. Gomes, D. Boiron, A. Aspect, C.I. Westbrook, Science 310, 648 (2005)

    Article  ADS  Google Scholar 

  10. A. Ottl, S. Ritter, M. Köhl, T. Esslinger, Phys. Rev. Lett. 95, 090404 (2005)

    Article  ADS  Google Scholar 

  11. L.E. Sadler, J.M. Higbie, S.R. Leslie, M. Vengalattore, D.M. Stamper-Kurn, Phys. Rev. Lett. 98, 110401 (2007)

    Article  ADS  Google Scholar 

  12. S. Ritter, A. Ottl, T. Donner, T. Bourdel, M. Köhl, T. Esslinger, Phys. Rev. Lett. 98, 090402 (2007)

    Article  ADS  Google Scholar 

  13. M. Naraschewski, R.J. Glauber, Phys. Rev. A 59, 4595 (1999)

    Article  ADS  Google Scholar 

  14. M. Holzmann, Y. Castin, Eur. Phys. J. D 7, 425 (1999)

    Article  ADS  Google Scholar 

  15. G.E. Astrakharchik, S. Giorgini, Phys. Rev. A 68, 031602 (2003)

    Article  ADS  Google Scholar 

  16. K.V. Kheruntsyan, D.M. Gangardt, P.D. Drummond, G.V. Shylapnikov, Phys. Rev. Lett. 91, 040403 (2003)

    Article  ADS  Google Scholar 

  17. R. Bach,  Zewski K. Rza, Phys. Rev. A 70, 063622 70 (2004)

    Article  ADS  Google Scholar 

  18. J.V. Gomes, A. Perrin, M. Schellekens, D. Boiron, C.I. Westbrook, M. Belsley, Phys. Rev. A 74, 053607 (2006)

    Article  ADS  Google Scholar 

  19. R. Pezer, H. Buljan, Phys. Rev. Lett. 98, 240403 (2007)

    Article  ADS  Google Scholar 

  20. O. Penrose, L. Onsager, Phys. Rev. 104, 576 (1956)

    Article  ADS  MATH  Google Scholar 

  21. P. Nozières, D. Saint James, J. Phys. (Paris) 43, 1133 (1982)

    Google Scholar 

  22. P. Nozières, in Bose- Einstein Condensation, edited by A. Griffin, D. W. Snoke, and S. Stringari (Cambridge University Press, Cambridge, England, 1996).

    Google Scholar 

  23. R.W. Spekkens, J.E. Sipe, Phys. Rev. A 59, 3868 (1999)

    Article  ADS  Google Scholar 

  24. L.S. Cederbaum, A.I. Streltsov, Phys. Lett. A 318, 564 (2003)

    Article  ADS  MATH  Google Scholar 

  25. A.I. Streltsov, L.S. Cederbaum, N. Moiseyev, Phys. Rev. A 70, 053607 (2004)

    Article  ADS  Google Scholar 

  26. O.E. Alon, L.S. Cederbaum, Phys. Rev. Lett. 95, 140402 (2005)

    Article  ADS  Google Scholar 

  27. O.E. Alon, A.I. Streltsov, L.S. Cederbaum, Phys. Lett. A 347, 88 (2005)

    Article  ADS  Google Scholar 

  28. A.I. Streltsov, O.E. Alon, L.S. Cederbaum, Phys. Rev. A 73, 063626 (2006)

    Article  ADS  Google Scholar 

  29. E.H. Lieb, R. Seiringer, Phys. Rev. Lett. 91, 150401 (2003)

    Article  ADS  Google Scholar 

  30. E.H. Lieb, R. Seiringer, J.P. Solovej, J. Yngvason, The Mathematics of the Bose Gas and its Condensation. (Birkhäuser, Verlag, 2000)

    Google Scholar 

  31. A.I. Streltsov, O.E. Alon, L.S. Cederbaum, Phys. Rev. Lett. 99, 030402 (2007)

    Article  ADS  Google Scholar 

  32. O.E. Alon, A.I. Streltsov, L.S. Cederbaum, Phys. Rev. A 77, 033613 (2008)

    Article  ADS  Google Scholar 

  33. O.E. Alon, A.I. Streltsov, L.S. Cederbaum, Phys. Rev. Lett. 95, 030405 (2005)

    Article  ADS  Google Scholar 

  34. M.J. Girardeau, Math. Phys. 1, 516 (1960)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  35. J.B. McGuire, J. Math. Phys. 5, 622 (1964)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  36. K. Sakmann, A.I. Streltsov, O.E. Alon, L.S. Cederbaum, Phys. Rev. A 72, 033613 (2005)

    Article  ADS  Google Scholar 

  37. E.H. Lieb, W. Liniger, Phys. Rev. 130, 1605 (1963)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  38. M.D. Girardeau, E.M. Wright, Phys. Rev. Lett. 84, 5691 (2000)

    Article  ADS  Google Scholar 

  39. V.I. Yukalov, M.D. Girardeau, Laser Phys. Lett. 2, 375 (2005)

    Article  ADS  Google Scholar 

  40. M.D. Girardeau, Phys. Rev. Lett. 97, 100402 (2006)

    Article  ADS  Google Scholar 

  41. A.G. Sykes, P.D. Drummond, M.J. Davis, Phys. Rev. A 76, 063620 (2007)

    Article  ADS  Google Scholar 

  42. H. Buljan, R. Pezer, T. Gasenzer, Phys. Rev. Lett. 100, 080406 (2008)

    Article  MathSciNet  ADS  Google Scholar 

  43. L. Pitaevskii, S. Stringari, Phys. Rev. Lett. 83, 4237 (1999)

    Article  ADS  Google Scholar 

  44. A. Perrin, H. Chang, V. Krachmalnicoff, M. Schellekens, D. Boiron, A. Aspect, C.I. Westbrook, Phys. Rev. Lett. 99, 150405 (2007)

    Article  ADS  Google Scholar 

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Sakmann, K. (2011). Reduced Density Matrices and Coherence of Trapped Interacting Bosons. In: Many-Body Schrödinger Dynamics of Bose-Einstein Condensates. Springer Theses. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22866-7_5

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  • DOI: https://doi.org/10.1007/978-3-642-22866-7_5

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