Journal of Low Temperature Physics

, Volume 191, Issue 3–4, pp 174–183 | Cite as

Creating Spin-One Fermions in the Presence of Artificial Spin–Orbit Fields: Emergent Spinor Physics and Spectroscopic Properties

  • Doga Murat Kurkcuoglu
  • C. A. R. Sá de Melo
Article

Abstract

We propose the creation and investigation of a system of spin-one fermions in the presence of artificial spin–orbit coupling, via the interaction of three hyperfine states of fermionic atoms to Raman laser fields. We explore the emergence of spinor physics in the Hamiltonian described by the interaction between light and atoms, and analyze spectroscopic properties such as dispersion relation, Fermi surfaces, spectral functions, spin-dependent momentum distributions and density of states. Connections to spin-one bosons and SU(3) systems is made, as well relations to the Lifshitz transition and Pomeranchuk instability are presented.

References

  1. 1.
    S.N. Bose, Z. Phys. 26, 178 (1924)ADSCrossRefGoogle Scholar
  2. 2.
    A. Einstein, Preuss. Akad. Wiss. Berl. Ber. 22, 261 (1924)Google Scholar
  3. 3.
    F.P.A. Matthew, P.B. Weichman, G. Grinstein, D.S. Fisher, Phys. Rev. B 40, 546 (1989)ADSCrossRefGoogle Scholar
  4. 4.
    A.J. Leggett, J. Phys. Colloq. 41, 7 (1980)CrossRefGoogle Scholar
  5. 5.
    P. Nozières, S. Schmitt-Rink, J. Low Temp. Phys. 59, 195 (1985)ADSCrossRefGoogle Scholar
  6. 6.
    C.A.R.S. de Melo, M. Randeria, J.R. Engelbrecht, Phys. Rev. Lett. 71, 3202 (1993)ADSCrossRefGoogle Scholar
  7. 7.
    I. Bloch, J. Dalibard, W. Zwerger, Rev. Mod. Phys. 80, 885 (2008)ADSCrossRefGoogle Scholar
  8. 8.
    C.J. Myatt, E.A. Burt, R.W. Ghrist, E.A. Cornell, C.E. Wieman, Phys. Rev. Lett. 78, 586 (1997)ADSCrossRefGoogle Scholar
  9. 9.
    I.J. Bonalde, T.M. Brill, W. Yao, B.J. Verhaar, I.F. Silvera, J. Low Temp. Phys. 113, 211 (1998)ADSCrossRefGoogle Scholar
  10. 10.
    X. Zhang, M. Bishof, S.L. Bromley, C.V. Kraus, M.S. Safronova, P. Zoller, A.M. Rey, J. Ye, Science 345, 1467 (2014)ADSCrossRefGoogle Scholar
  11. 11.
    Y.J. Lin, K. Jimenez-Garcia, I.B. Spielman, Nature 471, 83 (2011)ADSCrossRefGoogle Scholar
  12. 12.
    J.-Y. Zhang, S.-C. Ji, Z. Chen, L. Zhang, Z.-D. Du, B. Yan, G.-S. Pan, B. Zhao, Y.-J. Deng, H. Zhai, S. Chen, J.-W. Pan, Phys. Rev. Lett. 109, 115301 (2012)ADSCrossRefGoogle Scholar
  13. 13.
    T.-L. Ho, S. Zhang, Phys. Rev. Lett. 107, 150403 (2011)ADSCrossRefGoogle Scholar
  14. 14.
    Y. Li, L.P. Pitaevskii, S. Stringari, Phys. Rev. Lett. 108, 225301 (2012)ADSCrossRefGoogle Scholar
  15. 15.
    T. Ozawa, G. Baym, Phys. Rev. Lett. 110, 085304 (2013)ADSCrossRefGoogle Scholar
  16. 16.
    S.-C. Ji, J.-Y. Zhang, L. Zhang, Z.-D. Du, W. Zheng, Y.-J. Deng, H. Zhai, S. Chen, J.-W. Pan, Nat. Phys. 10, 314 (2014)CrossRefGoogle Scholar
  17. 17.
    M. Gong, S. Tewari, C. Zhang, Phys. Rev. Lett. 107, 195303 (2011)ADSCrossRefGoogle Scholar
  18. 18.
    Z.-Q. Yu, H. Zhai, Phys. Rev. Lett. 107, 195305 (2011)ADSCrossRefGoogle Scholar
  19. 19.
    H. Hu, L. Jiang, X.-J. Liu, H. Pu, Phys. Rev. Lett. 107, 195304 (2011)ADSCrossRefGoogle Scholar
  20. 20.
    L. Han, C.A.R.S. de Melo, Phys. Rev. A 85, 011606(R) (2012)ADSCrossRefGoogle Scholar
  21. 21.
    K. Seo, L. Han, C.A.R.S. de Melo, Phys. Rev. Lett. 109, 105303 (2012)ADSCrossRefGoogle Scholar
  22. 22.
    P. Wang, Z.Q. Yu, Z. Fu, J. Miao, L. Huang, S. Chai, H. Zhai, J. Zhang, Phys. Rev. Lett. 109, 095301 (2012)ADSCrossRefGoogle Scholar
  23. 23.
    L.W. Cheuk, A.T. Sommer, Z. Hadzibabic, T. Yefsah, W.S. Bakr, M.W. Zwierlein, Phys. Rev. Lett. 109, 095302 (2012)ADSCrossRefGoogle Scholar
  24. 24.
    R.A. Williams, M.C. Beeler, L.J. LeBlanc, K. Jimnez-Garca, I.B. Spielman, Phys. Rev. Lett. 111, 095301 (2013)ADSCrossRefGoogle Scholar
  25. 25.
    F. Zhengkun, L. Huang, Z. Meng, P. Wang, L. Zhang, S. Zhang, H. Zhai, P. Zhang, J. Zhang, Nat. Phys. 10, 110 (2014)ADSCrossRefGoogle Scholar
  26. 26.
    C.A.R.S. de Melo, Phys Today 61(October), 45 (2008)CrossRefGoogle Scholar
  27. 27.
    W. Pauli, Phys. Rev. 58, 716 (1940)ADSCrossRefGoogle Scholar
  28. 28.
    D.L. Campbell, R.M. Price, A. Putra, A. Valdés-Curiel, D. Trypogeorgos, I.B. Spielman, Nat. Commun. 7, 10897 (2016)ADSCrossRefGoogle Scholar
  29. 29.
    Z. Lan, P. Öhberg, Phys. Rev. A 89, 023630 (2014)ADSCrossRefGoogle Scholar
  30. 30.
    K. Sun, C. Qu, Y. Xu, Y. Zhang, C. Zhang, Phys. Rev. A 93, 023615 (2016)ADSCrossRefGoogle Scholar
  31. 31.
    Z.Q. Yu, Phys. Rev. A 93, 033648 (2016)ADSCrossRefGoogle Scholar
  32. 32.
    G.I. Martone, F.V. Pepe, P. Facchi, S. Pascazio, S. Stringari, Phys. Rev. Lett. 117, 125301 (2016)ADSCrossRefGoogle Scholar
  33. 33.
    G. Cardano, The Rules of Algebra (Ars Magna) (Dover, New York, 2007)MATHGoogle Scholar
  34. 34.
    I.I. Pomeranchuk, Zh. Eskp. Teor. Fiz. 35, 524 (1958)Google Scholar
  35. 35.
    J.M. Luttinger, Phys. Rev. 119, 1153 (1960)ADSMathSciNetCrossRefGoogle Scholar
  36. 36.
    I.M. Lifshitz, Z. Eksp, Teor. Fiz. 38, 1569 (1960)Google Scholar

Copyright information

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

Authors and Affiliations

  • Doga Murat Kurkcuoglu
    • 1
  • C. A. R. Sá de Melo
    • 1
  1. 1.School of PhysicsGeorgia Institute of TechnologyAtlantaUSA

Personalised recommendations