Advertisement

Breathing Mode of an Anharmonically Trapped One-Dimensional Bose Gas

  • Ji-Xuan Hou
  • Yun-Feng Hu
  • Kai-Li Xue
Article
  • 16 Downloads

Abstract

We theoretically investigate the breathing frequency of a one-dimensional ultra-cold atomic Bose gas in the weakly and strongly interacting regimes. In view of the relevant experimental conditions, the trap considered in this work is a quadratic plus quartic potential. The local chemical potential of the Bose gas is calculated with the Lieb–Liniger model, and the equation of motion for the width of the gas is derived by using a variational approach. The breathing frequency is strongly affected by the anharmonic distortion in the strongly interaction regime while it is insensitive to the anharmonic distortion in the weakly interacting regime.

Keywords

Ultra-cold atomic Bose gas Lieb–Liniger model Breathing mode 

References

  1. 1.
    M.H. Anderson, J.R. Ensher, M.R. Matthews, C.E. Wieman, E.A. Cornell, Science 269, 198 (1995)ADSCrossRefGoogle Scholar
  2. 2.
    C.C. Bradley, C.A. Sackett, J.J. Tollett, R.G. Hulet, Phys. Rev. Lett. 75, 1687 (1995)ADSCrossRefGoogle Scholar
  3. 3.
    K.B. Davis, M.-O. Mewes, M.R. Andrews, N.J. van Druten, D.S. Durfee, D.M. Kurn, W. Ketterle, Phys. Rev. Lett. 75, 3969 (1995)ADSCrossRefGoogle Scholar
  4. 4.
    E. Haller, M. Gustavsson, M.J. Mark, J.G. Danzl, R. Hart, G. Pupillo, H.-C. Nägerl, Science 325, 1224 (2009)ADSCrossRefGoogle Scholar
  5. 5.
    S. Choi, V. Dunjko, Z.D. Zhang, M. Olshanii, Phys. Rev. Lett. 115, 115302 (2015)ADSCrossRefGoogle Scholar
  6. 6.
    A.I. Gudyma, G.E. Astrakharchik, M.B. Zvonarev, Phys. Rev. A 92, 021601(R) (2015)ADSCrossRefGoogle Scholar
  7. 7.
    M. Collura, M. Kormos, P. Calabrese, Phys. Rev. A 97, 033609 (2018)ADSCrossRefGoogle Scholar
  8. 8.
    B. Rauer, P. Grisins, I.E. Mazets, T. Schweigler, W. Rohringer, R. Geiger, T. Langen, J. Schmiedmayer, Phys. Rev. Lett. 116, 030402 (2016)ADSCrossRefGoogle Scholar
  9. 9.
    G. Lang, P. Vignolo, A. Minguzzi, Eur. Phys. J. Spec. Top. 226, 1583 (2017)CrossRefGoogle Scholar
  10. 10.
    G. De Rosi, S. Stringari, Phys. Rev. A 94, 063605 (2016)ADSCrossRefGoogle Scholar
  11. 11.
    H. Hu, G. Xianlong, X.-J. Liu, Phys. Rev. A 90, 013622 (2014)ADSCrossRefGoogle Scholar
  12. 12.
    X.-L. Chen, Y. Li, H. Hu, Phys. Rev. A 91, 063631 (2015)ADSCrossRefGoogle Scholar
  13. 13.
    J.-X. Hou, Phys. Lett. A 368, 366 (2007)ADSCrossRefGoogle Scholar
  14. 14.
    J.-X. Hou, J. Low Temp. Phys. 177, 305 (2014)ADSCrossRefGoogle Scholar
  15. 15.
    J.-X. Hou, L.-M. Si, D.-B. Yang, Braz. J. Phys. 47, 377 (2017)ADSCrossRefGoogle Scholar
  16. 16.
    G.-Q. Li, L.-B. Fu, J.-K. Xue, X.-Z. Chen, J. Liu, Phys. Rev. A 74, 055601 (2006)ADSCrossRefGoogle Scholar
  17. 17.
    J.-X. Hou, J. Yang, Pramana 87, 60 (2016)ADSCrossRefGoogle Scholar
  18. 18.
    X.-W. Guan, M.T. Batchelor, C. Lee, Rev. Mod. Phys. 85, 1633 (2013)ADSCrossRefGoogle Scholar
  19. 19.
    M.A. Cazalilla, R. Citro, T. Giamarchi, E. Orignac, M. Rigol, Rev. Mod. Phys. 83, 1405 (2011)ADSCrossRefGoogle Scholar
  20. 20.
    D.S. Jin, M.R. Matthews, J.R. Ensher, C.E. Wieman, E.A. Cornell, Phys. Rev. Lett. 78, 764 (1997)ADSCrossRefGoogle Scholar
  21. 21.
    S. Stringari, Phys. Rev. Lett. 77, 2360 (1996)ADSCrossRefGoogle Scholar
  22. 22.
    D.M. Stamper-Kurn, H.-J. Miesner, S. Inouye, M.R. Andrews, W. Ketterle, Phys. Rev. Lett. 81, 500 (1998)ADSCrossRefGoogle Scholar
  23. 23.
    E.H. Lieb, W. Liniger, Phys. Rev. 130, 1605 (1963)ADSMathSciNetCrossRefGoogle Scholar
  24. 24.
    M. Olshanii, Phys. Rev. Lett. 81, 938 (1998)ADSCrossRefGoogle Scholar
  25. 25.
    H. Bethe, Z. Phys. 71, 205 (1931)ADSCrossRefGoogle Scholar
  26. 26.
    P. Pieri, L. Pisani, G.C. Strinati, Phys. Rev. Lett. 92, 110401 (2004)ADSCrossRefGoogle Scholar
  27. 27.
    C. Menotti, S. Stringari, Phys. Rev. A 66, 043610 (2002)ADSCrossRefGoogle Scholar
  28. 28.
    V. Dunjko, V. Lorent, M. Olshanii, Phys. Rev. Lett. 86, 5413 (2001)ADSCrossRefGoogle Scholar
  29. 29.
    P. Pedri, S. De Palo, E. Orignac, R. Citro, M.L. Chiofalo, Phys. Rev. A 77, 015601 (2008)ADSCrossRefGoogle Scholar
  30. 30.
    V. Bretin, S. Stock, Y. Seurin, J. Dalibard, Phys. Rev. Lett. 92, 050403 (2004)ADSCrossRefGoogle Scholar
  31. 31.
    W. Qi, Z.X. Liang, Z.D. Zhang, Chin. Phys. Lett. 30, 060303 (2013)ADSCrossRefGoogle Scholar
  32. 32.
    J. Liu, B. Hu, B. Li, Phys. Rev. Lett. 81, 1749 (1998)ADSMathSciNetCrossRefGoogle Scholar
  33. 33.
    V.M. Pérez-García, H. Michinel, J.I. Cirac, M. Lewenstein, P. Zoller, Phys. Rev. Lett. 77, 5320 (1996)ADSCrossRefGoogle Scholar
  34. 34.
    P. Peng, G.-Q. Li, Chin. Phys. B 18, 3221 (2009)ADSCrossRefGoogle Scholar
  35. 35.
    G.-Q. Li, P. Peng, Jian-Ke Liu, Ju-Kui Xue, Commun. Theor. Phys. 50, 1129 (2008)ADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.School of PhysicsSoutheast UniversityNanjingChina

Personalised recommendations