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Bose condensed gas in strong disorder potential with arbitrary correlation length

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Abstract

We study the properties of a dilute Bose condensed gas at zero temperature in the presence of a strong random potential with arbitrary correlation length. Starting from the underlying Gross–Pitaevskii equation, we use the random phase approximation in order to get a closed integral equation for the averaged density distribution which allows the determination of both the condensate and the superfluid density. The obtained results generalise those of Huang and Meng (HM) to strong disorder. In particular, we find the critical value of the disorder strength, where the superfluid phase disappears by a first-order phase transition. We show how this critical value changes as a function of the correlation length.

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References

  1. D. Clément, A.F. Varon, M. Hugbart, J. Retter, P. Bouyer, L. Sanchez-Palencia, D.M. Gangardt, V. Shlyapnikov, A. Aspect, Phys. Rev. Lett. 95, 170409 (2005)

    Article  ADS  Google Scholar 

  2. L. Fallani, J.E. Lye, V. Guarrera, C. Fort, M. Inguscio, cond-mat/0603655

  3. C. Fort, L. Fallani, V. Guarrera, J.E. Lye, M. Modugno, D.S. Wiersma, M. Inguscio, Phys. Rev. Lett. 95, 170410 (2005)

    Article  ADS  Google Scholar 

  4. J.E. Lye, L. Fallani, M. Modugno, D.S. Wiersma, C. Fort, M. Inguscio, Phys. Rev. Lett. 95, 070401 (2005)

    Article  ADS  Google Scholar 

  5. T. Schulte, S. Drenkelforth, J. Kruse, W. Ertmer, J. Arlt, K. Sacha, J. Zakrzewski, M. Lewenstein, Phys. Rev. Lett. 95, 170411 (2005)

    Article  ADS  Google Scholar 

  6. H. Perrin, Y. Colombe, B. Mercier, V. Lorent, C. Henkel, J. Phys. B 19, 151 (2005)

    Google Scholar 

  7. R. Folman, P. Krüger, J. Schmiedmayer, J. Denschlag, C. Henkel, Adv. At. Mol. Opt. Phys. 48, 263 (2002)

    Google Scholar 

  8. S. Ospelkaus, C. Ospelkaus, O. Wille, M. Succo, P. Ernst, K. Sengstock, K. Bongs, Phys. Rev. Lett. 96, 180403 (2006)

    Article  ADS  Google Scholar 

  9. K.V. Krutitsky, A. Pelster, R. Graham, New J. Phys. 8, 187 (2006)

    Article  ADS  Google Scholar 

  10. M. Lewenstein, A. Sanpera, V. Ahufinger, B. Damski, A.S. De, U. Sen, cond-mat/0606771

  11. K. Huang, H.-F. Meng, Phys. Rev. Lett. 69, 644 (1992)

    Article  ADS  Google Scholar 

  12. S. Giorgini, L. Pitaevskii, S. Stringari, Phys. Rev. B 49, 12938 (1994)

    Article  ADS  Google Scholar 

  13. A.V. Lopatin, V.M. Vinokur, Phys. Rev. Lett. 88, 235503 (2002)

    Article  ADS  Google Scholar 

  14. G.E. Astrakharchik, J. Boronat, J. Casulleras, S. Giorgini, Phys. Rev. A 66, 023603 (2002)

    Article  ADS  Google Scholar 

  15. R. Graham, A. Pelster, cond-mat/0508306

  16. M. Kobayashi, M. Tsubota, Phys. Rev. B 66, 174516 (2002)

    Article  ADS  Google Scholar 

  17. M. Timmer, A. Pelster, R. Graham, Europhys. Lett. 76, 760 (2006)

    Article  ADS  Google Scholar 

  18. D. Pines, P. Nozières, Theory of Quantum Liquids, vol. 1 (Benjamin, New York, 1966)

  19. M. Fliesser, J. Reidl, P. Szépfalusy, R. Graham, Phys. Rev. A 64, 013609 (2001)

    Article  ADS  Google Scholar 

  20. J. Reidl, A. Csordas, R. Graham, P. Szépfalusy, Phys. Rev. A 61, 043606 (2000)

    Article  ADS  Google Scholar 

  21. P. Navez, Physica A 356, 241 (2005)

    Article  ADS  Google Scholar 

  22. P. Navez, J. Low. Temp. Phys. 138, 705 (2005)

    Article  Google Scholar 

  23. P. Navez, R. Graham, Phys. Rev. A 73, 043612 (2006)

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. Universität Duisburg-Essen, Lotharstrasse 1, 47048, Duisburg, Germany

    P. Navez, A. Pelster & R. Graham

  2. Labo Vaste-Stoffysica en Magnetisme, Katholieke Universiteit Leuven, Celestijnenlaan 200 D, 3001, Heverlee, Belgium

    P. Navez

Authors
  1. P. Navez
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  2. A. Pelster
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  3. R. Graham
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Correspondence to P. Navez.

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PACS

03.75.Hh; 03.75.Kk; 05.30.-d

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Navez, P., Pelster, A. & Graham, R. Bose condensed gas in strong disorder potential with arbitrary correlation length. Appl. Phys. B 86, 395–398 (2007). https://doi.org/10.1007/s00340-006-2527-0

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  • DOI: https://doi.org/10.1007/s00340-006-2527-0

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