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Superfluid-superradiant mixed phase of the interacting degenerate Fermi gas in an optical cavity

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Abstract

We investigate the ground-state properties of an attractively interacting degenerate Fermi gas coupling with a high-finesse optical cavity. We predict a new mixed phase with both the superfluid and superradiant properties for the intermediate fermion-fermion interaction and fermion-photon coupling strengths. Moreover, in this mixed phase a relatively large ratio of the scaled polarization to the dimensionless mean-field gap, which is in contrast to that in the conventional superfluid regime can be obtained. We also figure out rich phase diagrams depending crucially on the atomic resonant frequency (effective Zeeman field) and address briefly the experimental detection of our predicted quantum phases.

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References

  1. H. Ritsch, P. Domokos, F. Brennecke, and T. Esslinger, Rev. Mod. Phys. 85, 553 (2013), arXiv: 1210.0013.

    Article  ADS  Google Scholar 

  2. Y. K. Wang, and F. T. Hioe, Phys. Rev. 7, 831 (1973).

    Article  ADS  Google Scholar 

  3. F. T. Hioe, Phys. Rev. 8, 1440 (1973).

    Article  ADS  Google Scholar 

  4. K. Baumann, C. Guerlin, F. Brennecke, and T. Esslinger, Natur. 464, 1301 (2010), arXiv: 0912.3261.

    Article  ADS  Google Scholar 

  5. K. Baumann, R. Mottl, F. Brennecke, and T. Esslinger, Phys. Rev. Lett. 107, 140402 (2011), arXiv: 1105.0426.

    Article  ADS  Google Scholar 

  6. M. P. Baden, K. J. Arnold, A. L. Grimsmo, S. Parkins, and M. D. Barrett, Phys. Rev. Lett. 113, 020408 (2014), arXiv: 1404.0512.

    Article  ADS  Google Scholar 

  7. Z. L. Xiang, T. Yu, W. X. Zhang, X. D. Hu, and J. Q. You, Sci. China- Phys. Mech. Astron. 55, 1549 (2012), arXiv: 1208.5539.

    Article  ADS  Google Scholar 

  8. Y. M. Liu, and R. W. Liu, Sci. China-Phys. Mech. Astron. 57, 2259 (2014).

    Article  ADS  Google Scholar 

  9. R. Kanamoto, and P. Meystre, Phys. Rev. Lett. 104, 063601 (2010), arXiv: 0911.4748.

    Article  ADS  Google Scholar 

  10. Q. Sun, X. H. Hu, A. C. Ji, and W. M. Liu, Phys. Rev. 83, 043606 (2011).

    Article  Google Scholar 

  11. B. Padhi, and S. Ghosh, Phys. Rev. Lett. 111, 043603 (2013).

    Article  ADS  Google Scholar 

  12. J. Keeling, M. J. Bhaseen, and B. D. Simons, Phys. Rev. Lett. 112, 143002 (2014), arXiv: 1309.2464.

    Article  ADS  Google Scholar 

  13. F. Piazza, and P. Strack, Phys. Rev. Lett. 112, 143003 (2014).

    Article  ADS  Google Scholar 

  14. Y. Chen, Z. Yu, and H. Zhai, Phys. Rev. Lett. 112, 143004 (2014), arXiv: 1309.3784.

    Article  ADS  Google Scholar 

  15. J. S. Pan, X. J. Liu, W. Zhang, W. Yi, and G. C. Guo, Phys. Rev. Lett. 115, 045303 (2015), arXiv: 1410.8431.

    Article  ADS  Google Scholar 

  16. A. Sheikhan, F. Brennecke, and C. Kollath, Phys. Rev. 93, 043609 (2016), arXiv: 1602.01723.

    Article  ADS  Google Scholar 

  17. A. Sheikhan, F. Brennecke, and C. Kollath, Phys. Rev. 94, 061603(R) (2016), arXiv: 1611.08463.

    Article  Google Scholar 

  18. F. Mivehvar, H. Ritsch, and F. Piazza, Phys. Rev. Lett. 118, 073602 (2017), arXiv: 1611.04876.

    Article  ADS  Google Scholar 

  19. C. Kollath, A. Sheikhan, S. Wolff, and F. Brennecke, Phys. Rev. Lett. 116, 060401 (2016), arXiv: 1502.01817.

    Article  ADS  Google Scholar 

  20. Y. Feng, K. Zhang, J. Fan, F. Mei, G. Chen, and S. Jia, Sci. Rep. 7, 10568 (2017), arXiv: 1701.02897.

    Article  ADS  Google Scholar 

  21. S. Giorgini, L. P. Pitaevskii, and S. Stringari, Rev. Mod. Phys. 80, 1215 (2008), arXiv: 0706.3360.

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  23. K. J. Jiang, H. Luo, K. Li, D. F. Zhang, T. Y. Gao, and S. G. Peng, Sci. China-Phys. Mech. Astron. 56, 581 (2013).

    Article  ADS  Google Scholar 

  24. W. Yi, W. Zhang, and X. L. Cui, Sci. China-Phys. Mech. Astron. 58, 014201 (2015), arXiv: 1410.1595.

    Google Scholar 

  25. J. K. Wang, J. G. Chen, K. J. Chen, W. Yi, and W. Zhang, Sci. China- Phys. Mech. Astron. 59, 693011 (2016).

    Article  Google Scholar 

  26. L. H. Zhou, W. Yi, and X. L. Cui, Sci. China-Phys. Mech. Astron. 60, 127011 (2017).

    Article  ADS  Google Scholar 

  27. Y. Chen, H. Zhai, and Z. Yu, Phys. Rev. 91, 021602 (2015), arXiv: 1411.0429.

    Article  ADS  Google Scholar 

  28. D. Yu, J. S. Pan, X. J. Liu, W. Zhang, and W. Yi, Front. Phys. 13, 136701 (2018).

    Article  Google Scholar 

  29. D. E. Sheehy, and L. Radzihovsky, Ann. Phys. 322, 1790 (2007).

    Article  ADS  Google Scholar 

  30. L. He, and P. Zhuang, Phys. Rev. 78, 033613 (2008), arXiv: 0801.3127.

    Article  ADS  Google Scholar 

  31. J. Du, C. Chen, and J. Liang, Phys. Rev. 80, 023601 (2009).

    Article  Google Scholar 

  32. H. Caldas, A. L. Mota, R. L. S. Farias, and L. A. Souza, J. Stat. Mech. 2012, P10019 (2012), arXiv: 1108.5407.

    Article  Google Scholar 

  33. M. Randeria, J. M. Duan, and L. Y. Shieh, Phys. Rev. Lett. 62, 981 (1989).

    Article  ADS  Google Scholar 

  34. M. Randeria, J. M. Duan, and L. Y. Shieh, Phys. Rev. 41, 327 (1990).

    Article  ADS  MathSciNet  Google Scholar 

  35. S. Bell, J. S. Crighton, and R. Fletcher, Chem. Phys. Lett. 82, 122 (1981).

    Article  ADS  MathSciNet  Google Scholar 

  36. D. E. Sheehy, Phys. Rev. 92, 053631 (2015), arXiv: 1407.8021.

    Article  ADS  Google Scholar 

  37. G. B. Partridge, Scienc. 311, 503 (2006).

    Article  ADS  Google Scholar 

  38. M. W. Zwierlein, Scienc. 311, 492 (2006).

    Article  ADS  Google Scholar 

  39. M. Koschorreck, D. Pertot, E. Vogt, B. Fröhlich, M. Feld, and M. Köhl, Natur. 485, 619 (2012), arXiv: 1203.1009.

    Article  ADS  Google Scholar 

  40. J. Levinsen, and M. M. Parish, in Annual Review of Cold Atoms and Molecules, Volume 3, edited by K. W. Madison, K. Bongs, L. D. Carr, A. M. Rey, and H. Zhai (World Scientific, Singapore, 2015).

  41. C. Chin, Science 305, 1128 (2004).

    Article  ADS  Google Scholar 

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Correspondence to Gang Chen.

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Feng, Y., Zhang, K., Fan, J. et al. Superfluid-superradiant mixed phase of the interacting degenerate Fermi gas in an optical cavity. Sci. China Phys. Mech. Astron. 61, 123011 (2018). https://doi.org/10.1007/s11433-018-9271-5

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