Advertisement

Journal of Low Temperature Physics

, Volume 196, Issue 1–2, pp 126–132 | Cite as

Single-Particle Structures in the Normal State of a Strongly Interacting Bose–Fermi Mixture with Mass Imbalance

  • K. ManabeEmail author
  • D. Kagamihara
  • D. Inotani
  • Y. Ohashi
Article
  • 78 Downloads

Abstract

We extend some of the authors’ previous work for a mass-balanced Bose–Fermi mixture to include effects of realistic mass imbalance in a \(^{23}\)Na–\(^{40}\)K and a \(^{87}\)Rb–\(^{40}\)K mixtures. Including effects of pairing fluctuations within the framework of an improved T-matrix theory, we calculate the single-particle spectral weight (SW), as well as the photoemission spectrum (PES) in the unitary regime at the Bose–Einstein condensation temperature \(T_{\mathrm {BEC}}\). We show that the characteristic three-peak structure induced by paring fluctuations, being predicted in the mass-balanced case, remains to exist in SW even in the presence of mass difference. We also show that PES is a useful experimental method to observe this phenomenon in a \(^{23}\)Na–\(^{40}\)K, as well as \(^{87}\)Rb–\(^{40}\)K, Bose–Fermi mixtures. Since this strong-coupling phenomenon is qualitatively different from that in a two-component Fermi gas, our results would be useful in clarifying how the quantum statistics affects Bose and Fermi pairing phenomena in a two-component gas mixture.

Keywords

Cold atom physics Bose–Fermi mixture Bose–Einstein condensation Strong-coupling effects 

Notes

Acknowledgements

We would like to thank R. Sato for discussions. This work was supported by KiPAS project in Keio University. DI was supported by Grant-in-aid for Scientific Research from JSPS in Japan (No. JP16K17773). YO was supported by Grant-in-aid for Scientific Research from MEXT and JSPS in Japan (Nos. JP16K05503, JP18K11345, JP18H05406).

References

  1. 1.
    C.A. Stan, M.W. Zwierlein, C.H. Schunck, S.M.F. Raupach, W. Ketterle, Phys. Rev. Lett. 93, 143001 (2004)CrossRefGoogle Scholar
  2. 2.
    S. Inouye, J. Goldwin, M.L. Olsen, C. Ticknor, J.L. Bohn, D.S. Jin, Phys. Rev. Lett. 93, 183201 (2004)CrossRefGoogle Scholar
  3. 3.
    M.-J. Zhu, H. Yang, L. Liu, D.-C. Zhang, Y.-X. Liu, J. Nan, J. Rui, B. Zhao, J.-W. Pan, E. Tiemann, Phys. Rev. A 96, 062705 (2017)CrossRefGoogle Scholar
  4. 4.
    J.J. Zirbel, K.-K. Ni, S. Ospelkaus, J.P. D’Incao, C.E. Wieman, J. Ye, D.S. Jin, Phys. Rev. Lett. 100, 143201 (2008)CrossRefGoogle Scholar
  5. 5.
    C.-H. Wu, J.W. Park, P. Ahmadi, S. Will, M.W. Zwierlein, Phys. Rev. Lett. 109, 085301 (2012)CrossRefGoogle Scholar
  6. 6.
    C. Chin, R. Grimm, P. Julienne, E. Tiesinga, Rev. Mod. Phys. 82, 1225 (2010)CrossRefGoogle Scholar
  7. 7.
    The BCS-BEC Crossover and the Unitary Fermi Gas, edited by W. Zwerger (Springer, Berlin, 2012)Google Scholar
  8. 8.
    M. Randeria, in Bose-Einstein Condensation, ed. by A. Griffin, D.W. Snoke, S. Stringari (Cambridge University Press, New York, 1995), p. 355CrossRefGoogle Scholar
  9. 9.
    S. Tsuchiya, R. Watanabe, Y. Ohashi, Phys. Rev. A 80, 033613 (2009)CrossRefGoogle Scholar
  10. 10.
    S. Tsuchiya, R. Watanabe, Y. Ohashi, Phys. Rev. A 82, 033629 (2010)CrossRefGoogle Scholar
  11. 11.
    D. Kharga, D. Inotani, R. Hanai, Y. Ohashi, J. Phys. Soc. Jpn. 86, 084301 (2017)CrossRefGoogle Scholar
  12. 12.
    J.T. Stewart, J.P. Gaebler, D.S. Jin, Nature (London) 454, 744 (2008)CrossRefGoogle Scholar
  13. 13.
    Y. Sagi, T.E. Drake, R. Paudel, R. Chapurin, D.S. Jin, Phys. Lev. Lett. 114, 075301 (2015)CrossRefGoogle Scholar
  14. 14.
    P. Törmä, Phys. Scr. 91, 043006 (2016)CrossRefGoogle Scholar
  15. 15.
    D. Kharga, H. Tajima, P. van Wyk, D. Inotani, Y. Ohashi, J. Phys. Soc. Jpn. 86, 074301 (2017)CrossRefGoogle Scholar
  16. 16.
    E. Fratini, P. Pieri, Phys. Rev. A 81, 051605(R) (2010)CrossRefGoogle Scholar
  17. 17.
    E. Fratini, P. Pieri, Phys. Rev. A 85, 063618 (2012)CrossRefGoogle Scholar
  18. 18.
    E. Fratini, P. Pieri, Phys. Rev. A 88, 013627 (2013)CrossRefGoogle Scholar
  19. 19.
    A. Guidini, G. Bertanina, E. Fratini, P. Pieri, Phys. Rev. A 89, 023634 (2014)CrossRefGoogle Scholar
  20. 20.
    N.M. Hugenholtz, D. Pines, Phys. Rev. 116, 489 (1959)MathSciNetCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  • K. Manabe
    • 1
    Email author
  • D. Kagamihara
    • 1
  • D. Inotani
    • 1
  • Y. Ohashi
    • 1
  1. 1.Department of Physics, Faculty of Science and TechnologyKeio UniversityYokohamaJapan

Personalised recommendations