Skip to main content
Log in

Tunneling dynamics of a Bose–Fermi superfluid mixture

  • Regular Article
  • Published:
The European Physical Journal D Aims and scope Submit manuscript

Abstract

We study the tunneling dynamics of a Bose–Fermi superfluid mixture where bosons are confined in a double-well potential and fermions in a harmonic potential symmetrically positioned at the center of the double-well. By focusing on the deep Bose–Einstein condensate side of the inter-fermion Feshbach resonance where the fermions can be well described as molecular bosons, we employ a mean-field method and numerically investigate the dynamical evolution of bosons under different parameters and initial conditions. We find that the interaction with background fermions can enrich the tunneling dynamics of the bosons, and specifically, lead to a re-entrant macroscopic quantum self-trapping state by varying different parameters. Our results can be observed in Bose–Fermi superfluid mixture by tuning interactions via Feshbach resonance and confinement-induced resonance.

Graphical abstract

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. S. Coleman, Phys. Rev. D 15, 2929 (1977)

    Article  ADS  Google Scholar 

  2. P.W. Anderson, Science 177, 393 (1972)

    Article  ADS  Google Scholar 

  3. D.D. Awschalom, J.F. Smyth, G. Grinstein, D.P. DiVincenzo, D. Loss, Phys. Rev. Lett. 68, 3092 (1992)

    Article  ADS  Google Scholar 

  4. E. Collini, C.Y. Wong, K.E. Wilk, P.M.G. Curmi, P. Brumer, G.D. Scholes, Nature (London) 463, 644 (2010)

    Article  ADS  Google Scholar 

  5. D.M. Ostrovsky, G.W. Carter, E.V. Shuryak, Phys. Rev. D 66, 036004 (2002)

    Article  ADS  Google Scholar 

  6. R.W. Gurney, E.U. Condon, Phys. Rev. 33, 127 (1929)

    Article  ADS  Google Scholar 

  7. S.P. Kou, Phys. Rev. Lett. 102, 120402 (2009)

    Article  ADS  MathSciNet  Google Scholar 

  8. J. Stenger, T.D. Stanescu, Phys. Rev. B 96, 214516 (2017)

    Article  ADS  Google Scholar 

  9. K. Choi, G. Ryu, F. Yesilkoy, A. Chryssis, N. Goldsman, M. Dagenais, M. Peckerar, J. Vacuum Sci. Technol. B 28, C6O50 (2010)

    Article  Google Scholar 

  10. J. Encomendero, F.A. Faria, S.M. Islam, V. Protasenko, S. Rouvimov, B.S. Rodriguez, P. Fay, D. Jena, H.G. Xing, Phys. Rev. X 7, 041017 (2017)

    Google Scholar 

  11. M.V. Fistul, Phys. Rev. B 92, 014505 (2015)

    Article  ADS  Google Scholar 

  12. M.C. Cassidy, A. Bruno, S. Rubbert, M. Irfan, J. Kammhuber, R.N. Schouten, A.R. Akhmerov, L.P. Kouwenhoven, Science 355, 939 (2017)

    Article  ADS  Google Scholar 

  13. A. Barone, G. Kurizki, A.G. Kofman, Phys. Rev. Lett. 92, 200403 (2004)

    Article  ADS  Google Scholar 

  14. X.X. Zhao, D.A. Alcala, M.A. McLain, K. Maeda, S. Potnis, R. Ramos, A.M. Steinberg, L.D. Carr, Phys. Rev. A 96, 063601 (2017)

    Article  ADS  Google Scholar 

  15. H. Pu, W.P. Zhang, P. Meystre, Phys. Rev. Lett. 89, 090401 (2002)

    Article  ADS  Google Scholar 

  16. S.L. Cornish, N.R. Claussen, J.L. Roberts, E.A. Cornell, C.E. Wieman, Phys. Rev. Lett. 85, 1795 (2000)

    Article  ADS  Google Scholar 

  17. C. Chin, R. Grimm, P. Julienne, E. Tiesinga, Rev. Mod. Phys. 82, 1225 (2010)

    Article  ADS  Google Scholar 

  18. K.M. O’Hara, S.L. Hemmer, M.E. Gehm, S.R. Granade, J.E. Thomas, Science 298, 2179 (2002)

    Article  ADS  Google Scholar 

  19. A. Ashkin, J.M. Dziedzic, J.E. Bjorkholm, S. Chu, Opt. Lett. 11, 288 (1986)

    Article  ADS  Google Scholar 

  20. G.F. Wang, L.B. Fu, J. Liu, Phys. Rev. A 73, 013619 (2006)

    Article  ADS  Google Scholar 

  21. M. Albiez, R. Gati, J. Fölling, S. Hunsmann, M. Cristiani, M.K. Oberthaler, Phys. Rev. Lett. 95, 010402 (2005)

    Article  ADS  Google Scholar 

  22. M.W. Zwierlein, C.A. Stan, C.H. Schunck, S.M.F. Raupach, A.J. Kerman, W. Ketterle, Phys. Rev. Lett. 92, 120403 (2004)

    Article  ADS  Google Scholar 

  23. L. Pezzè, L. Pitaevskii, A. Smerzi, S. Stringari, G. Modugno, E. De Mirandes, F. Ferlaino, H. Ott, G. Roati, M. Inguscio, Phys. Rev. Lett. 93, 120401 (2004)

    Article  ADS  Google Scholar 

  24. J.K. Xue, A.X. Zhang, Phys. Rev. Lett. 101, 180401 (2008)

    Article  ADS  Google Scholar 

  25. K. Günter, T. Söferle, H. Moritz, M. Köhl, T. Esslinger, Phys. Rev. Lett. 96, 180402 (2006)

    Article  Google Scholar 

  26. H. Ott, E. de Mirandes, F. Ferlaino, G. Roati, G. Modugno, M. Inguscio, Phys. Rev. Lett. 92, 160601 (2004)

    Article  ADS  Google Scholar 

  27. D.S. Petrov, C. Salomon, G.V. Shlyapnikov, Phys. Rev. Lett. 93, 090404 (2004)

    Article  ADS  Google Scholar 

  28. X.-C. Yao, H.-Z. Chen, Y.-P. Wu, X.-P. Liu, X.-Q. Wang, X. Jiang, Y. Deng, Y.-A. Chen, J.-W. Pan, Phys. Rev. Lett. 117, 145301 (2016)

    Article  ADS  Google Scholar 

  29. L. Pitaevskii, S. Stringari, Bose-Einstein Condensation (Oxford University Press, Oxford, 2003)

  30. G.E. Astrakharchik, J. Boronat, J. Casulleras, S. Giorgini, Phys. Rev. Lett. 93, 200404 (2004)

    Article  ADS  Google Scholar 

  31. S.K. Adhikari, H. Lu, H. Pu, Phys. Rev. A 80, 063607 (2009)

    Article  ADS  Google Scholar 

  32. R. Zhang, W. Zhang, H. Zhai, P. Zhang, Phys. Rev. A 90, 063614 (2014)

    Article  ADS  Google Scholar 

  33. M. Olshanii, Phys. Rev. Lett. 81, 938 (1998)

    Article  ADS  Google Scholar 

  34. E. Haller, M.J. Mark, R. Hart, J.G. Danzl, L. Reichsollner, V. Melezhik, P. Schmelcher, H.-C. Nägerl, Phys. Rev. Lett. 104, 153203 (2010)

    Article  ADS  Google Scholar 

  35. S. Raghavan, A. Smerzi, S. Fantoni, S.R. Shenoy, Phys. Rev. A 59, 620 (1999)

    Article  ADS  Google Scholar 

  36. D. Ananikian, T. Bergeman, Phys. Rev. A 73, 013604 (2006)

    Article  ADS  Google Scholar 

  37. A. Burchianti, C. Fort, M. Modugno, Phys. Rev. A 95, 023627 (2017)

    Article  ADS  Google Scholar 

  38. A.J. Daley, J. Simon, Phys. Rev. A 89, 053619 (2014)

    Article  ADS  Google Scholar 

  39. X.B. Luo, Q.T. Xie, B. Wu, Phys. Rev. A 77, 053601 (2008)

    Article  ADS  Google Scholar 

  40. M. Maraj, J.-B. Wang, J.-S. Pan, W. Yi, Eur. Phys. J. D 71, 300 (2017)

    Article  ADS  Google Scholar 

  41. G.J. Milburn, J. Corney, E.M. Wright, D.F. Walls, Phys. Rev. A 55, 4318 (1997)

    Article  ADS  Google Scholar 

  42. D.M. Jezek, P. Capuzzi, H.M. Cataldo, Phys. Rev. A 87, 053625 (2013)

    Article  ADS  Google Scholar 

  43. M. Jääskeläinen, P. Meystre, Phys. Rev. A 71, 043603 (2005)

    Article  Google Scholar 

  44. J. Gillet, M.A. Garcia-March, Th Busch, F. Sols, Phys. Rev. A 89, 023614 (2014)

    Article  ADS  Google Scholar 

  45. Z.X. Niu, A.X. Zhang, J.K. Xue, Eur. Phys. J. D 70, 169 (2016)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding authors

Correspondence to Xiang Zhang or Wei Zhang.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Niu, ZX., Zhang, X. & Zhang, W. Tunneling dynamics of a Bose–Fermi superfluid mixture. Eur. Phys. J. D 73, 112 (2019). https://doi.org/10.1140/epjd/e2019-90654-6

Download citation

  • Received:

  • Revised:

  • Published:

  • DOI: https://doi.org/10.1140/epjd/e2019-90654-6

Keywords

Navigation