Advertisement

Journal of Low Temperature Physics

, Volume 196, Issue 1–2, pp 111–118 | Cite as

Strong-Coupling Effects on Specific Heat in the BCS–BEC Crossover

  • Daisuke InotaniEmail author
  • Pieter van Wyk
  • Yoji Ohashi
Article
  • 10 Downloads

Abstract

We theoretically investigate strong-coupling effects on specific heat at constant volume \(C_{\mathrm{V}}\) in a superfluid Fermi gas with a tunable interaction associated with Feshbach resonance. Including fluctuations of the superfluid order parameter within the strong-coupling theory developed by Nozières and Schmitt-Rink, we calculate the temperature dependence of \(C_{\mathrm{V}}\) at the unitarity limit in the superfluid phase. We show that, in the low-temperature region, \(T^3\)-behavior is shown in the temperature dependence of \(C_{\mathrm{V}}\). This result indicates that the low-lying excitations are dominated by the gapless Goldstone mode, associated with the phase fluctuations of the superfluid order parameter. Since the Goldstone mode is one of the most fundamental phenomena in the Fermionic superfluidity, our results are useful for further understanding how the pairing fluctuations affect physical properties in the BCS–BEC crossover physics below the superfluid transition temperature.

Keywords

Specific heat BCS–BEC crossover Ultracold Fermi gas Goldstone mode 

Notes

Acknowledgements

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. JP18K11345, JP18H05406, JP16K05503).

References

  1. 1.
    C.A. Regal, M. Greiner, D.S. Jin, Phys. Rev. Lett. 92, 040403 (2004)CrossRefGoogle Scholar
  2. 2.
    M.W. Zwierlein, C.A. Stan, C.H. Schunck, S.M.F. Raupach, A.J. Kerman, W. Ketterle, Phys. Rev. Lett 92, 120403 (2004)CrossRefGoogle Scholar
  3. 3.
    J. Kinast, S.L. Hemmer, M.E. Gehm, A. Turlapov, J.E. Thomas, Phys. Rev. Lett. 92, 150402 (2004)CrossRefGoogle Scholar
  4. 4.
    M. Bartenstein, A. Altmeyer, S. Riedl, S. Jochim, C. Chin, J.H. Denschlag, R. Grimm, Phys. Rev. Lett 92, 203201 (2004)CrossRefGoogle Scholar
  5. 5.
    S. Tsuchiya, R. Watanabe, Y. Ohashi, Phys. Rev. A 80, 033613 (2009)CrossRefGoogle Scholar
  6. 6.
    S. Tsuchiya, R. Watanabe, Y. Ohashi, Phys. Rev. A 84, 043647 (2011)CrossRefGoogle Scholar
  7. 7.
    H. Tajima, T. Kashimura, R. Hanai, R. Watanabe, Y. Ohashi, Phys. Rev. A 89, 033617 (2014)CrossRefGoogle Scholar
  8. 8.
    R. Haussmann, W. Rantner, S. Cerrito, W. Zwerger, Phys. Rev. A 75, 023610 (2007)CrossRefGoogle Scholar
  9. 9.
    H. Hu, X.-J. Liu, P.D. Drummond, Phys. Rev. A 73, 023617 (2006)CrossRefGoogle Scholar
  10. 10.
    P. van Wyk, H. Tajima, R. Hanai, Y. Ohashi, Phys. Rev. A 93, 013621 (2016)CrossRefGoogle Scholar
  11. 11.
    J. Kinast, A. Turpalov, J.E. Thomas, Q. Chen, J. Stajic, K. Levin, Science 307, 1296 (2005)CrossRefGoogle Scholar
  12. 12.
    L. Luo, J.E. Thomas, J. Low. Temp. Phys 154, 1 (2009)CrossRefGoogle Scholar
  13. 13.
    M. Horikoshi, S. Nakajima, M. Ueda, T. Mukaiyama, Science 327, 442 (2010)CrossRefGoogle Scholar
  14. 14.
    S. Nascimbene, N. Navon, K.J. Jiang, F. Chevy, C. Salomon, Nature 463, 1057 (2010)CrossRefGoogle Scholar
  15. 15.
    M.J.H. Ku, A.T. Sommer, L.W. Cheuk, M.W. Zwierlein, Science. 335, 563–567 (2012)CrossRefGoogle Scholar
  16. 16.
    Y. Ohashi, A. Griffin, Phys. Rev. A 67, 063612 (2003)CrossRefGoogle Scholar
  17. 17.
    P. Nozières, S. Schmitt-Rink, J. Low Temp. Phys. 59, 195 (1985)CrossRefGoogle Scholar
  18. 18.
    N. Fukushima, Y. Ohashi, E. Taylor, A. Griffin, Phys. Rev. A 75, 033609 (2007)CrossRefGoogle Scholar
  19. 19.
    H. Hu, X.-J. Liu, P.D. Drummond, Europhys. Lett. 74, 574 (2006)CrossRefGoogle Scholar
  20. 20.
    R. Watanabe, S. Tsuchiya, Y. Ohashi, Phys. Rev. A 82, 043630 (2010)CrossRefGoogle Scholar
  21. 21.
    R. Haussmann, W. Rantner, S. Cerrito, W. Zwerger, Phys. Rev. A 75, 023610 (2007)CrossRefGoogle Scholar

Copyright information

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

Authors and Affiliations

  1. 1.Department of PhysicsKeio UniversityYokohamaJapan

Personalised recommendations