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Anderson–Bogoliubov Collective Excitations in Superfluid Fermi Gases at Nonzero Temperatures

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Abstract

The Anderson–Bogoliubov branch of collective excitations in a condensed Fermi gas is treated using the effective bosonic action of Gaussian pair fluctuations. The spectra of collective excitations are treated for finite temperature and momentum throughout the BCS–BEC crossover. The obtained spectra explain, both qualitatively and quantitatively, recent experimental results on Goldstone modes in atomic Fermi superfluids.

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References

  1. P.W. Anderson, Random-phase approximation in the theory of superconductivity. Phys. Rev. 112, 1900 (1958)

    Article  ADS  MathSciNet  Google Scholar 

  2. J.R. Engelbrecht, M. Randeria, C.A.R. Sá de Melo, BCS to Bose crossover: broken-symmetry state. Phys. Rev. B 55, 15153 (1997)

    Article  ADS  Google Scholar 

  3. M. Marini, F. Pistolesi, G.C. Strinati, Evolution from BCS superconductivity to Bose condensation: analytic results for the crossover in three dimensions. Eur. Phys. J. B 1, 151 (1998)

    Article  ADS  Google Scholar 

  4. L. Salasnich, Goldstone and Higgs hydrodynamics in the BCS–BEC crossover. Condens. Matter 2, 22 (2017)

    Article  Google Scholar 

  5. R.B. Diener, R. Sensarma, M. Randeria, Quantum fluctuations in the superfluid state of the BCS–BEC crossover. Phys. Rev. A 77, 023626 (2008)

    Article  ADS  Google Scholar 

  6. R. Combescot, MYu. Kagan, S. Stringari, Collective mode of homogeneous superfluid Fermi gases in the BEC–BCS crossover. Phys. Rev. A 74, 042717 (2006)

    Article  ADS  Google Scholar 

  7. H. Kurkjian, Y. Castin, A. Sinatra, Concavity of the collective excitation branch of a Fermi gas in the BEC–BCS crossover. Phys. Rev. A 93, 013623 (2016)

    Article  ADS  Google Scholar 

  8. B. Huang, S. Wan, Collective modes in a uniform Fermi gas with Feshbach resonances. Phys. Rev. A 75, 053608 (2007)

    Article  ADS  Google Scholar 

  9. Y. Ohashi, A. Griffin, Superfluidity and collective modes in a uniform gas of Fermi atoms with a Feshbach resonance. Phys. Rev. A 67, 063612 (2003)

    Article  ADS  Google Scholar 

  10. P. Pieri, L. Pisani, G.C. Strinati, BCS–BEC crossover at finite temperature in the broken-symmetry phase. Phys. Rev. B 70, 094508 (2004)

    Article  ADS  Google Scholar 

  11. I. Kosztin, Q. Chen, Y.-J. Kao, K. Levin, Pair excitations, collective modes, and gauge invariance in the BCS–Bose–Einstein crossover scenario. Phys. Rev. B 61, 11662 (2000)

    Article  ADS  Google Scholar 

  12. W.V. Liu, Effective theory of excitations in a Feshbach-resonant superfluid. Phys. Rev. Lett. 96, 080401 (2006)

    Article  ADS  Google Scholar 

  13. Z. Zhang, W.V. Liu, Finite-temperature damping of collective modes of a BCS–BEC crossover superfluid. Phys. Rev. A 83, 023617 (2011)

    Article  ADS  Google Scholar 

  14. P. Zou, H. Hu, X.-J. Liu, Low-momentum dynamic structure factor of a strongly interacting Fermi gas at finite temperature: the Goldstone phonon and its Landau damping. arXiv:1712.08318

  15. H. Kurkjian, Y. Castin, A. Sinatra, Three-phonon and four-phonon interaction processes in a pair-condensed Fermi gas. Ann. Phys. 529, 1600352 (2017)

    Article  Google Scholar 

  16. H. Kurkjian, J. Tempere, Absorption and emission of a collective excitation by a fermionic quasiparticle in a Fermi superfluid. New J. Phys. 19, 113045 (2017)

    Article  ADS  Google Scholar 

  17. S.N. Klimin, J. Tempere, J.P.A. Devreese, Pair excitations and parameters of state of imbalanced Fermi gases at finite temperatures. J. Low Temp. Phys. 165, 261 (2011)

    Article  ADS  Google Scholar 

  18. Y. Castin, A. Sinatra, H. Kurkjian, Phys. Rev. Lett. 119, 260402 (2017)

    Article  ADS  Google Scholar 

  19. S. Hoinka, P. Dyke, M.G. Lingham, J.J. Kinnunen, G.M. Bruun, C.J. Vale, Goldstone mode and pair-breaking excitations in atomic Fermi superfluids. Nat. Phys. 13, 943 (2017). arXiv:1707.00406

  20. H. Godfrin, M. Meschke, H.-J. Lauter, A. Sultan, H.M. Böhm, E. Krotscheck, M. Panholzer, Observation of a roton collective mode in a two-dimensional Fermi liquid. Nature 483, 576 (2012)

    Article  ADS  Google Scholar 

  21. H. Hu, X.-J. Liu, P.D. Drummond, Equation of state of a superfluid Fermi gas in the BCS–BEC crossover. Europhys. Lett. 74, 574 (2006)

    Article  ADS  Google Scholar 

  22. H. Kurkjian, S.N. Klimin, J. Tempere, Y. Castin, Collective branch in the continuum of BCS superconductors and superfluid Fermi gases. arXiv:1805.02462

  23. G.E. Astrakharchik, J. Boronat, J. Casulleras, S. Giorgini, Equation of state of a Fermi gas in the BEC–BCS crossover: a quantum Monte Carlo study. Phys. Rev. Lett. 93, 200404 (2004)

    Article  ADS  MATH  Google Scholar 

  24. S.N. Klimin, H. Kurkjian, J. Tempere, Sound velocity and damping in superfluid Fermi gases at nonzero temperatures. arXiv:1811.07796

  25. P. Nozières, Le problème à N corps: propriétés générales des gaz de fermions (Dunod, Paris, 1963)

    MATH  Google Scholar 

  26. L.P. Gor’kov, T.K. Melik-Barkhudarov, Contribution to the theory of superfluidity in an imperfect Fermi gas. Sov. Phys. JETP 13, 1018 (1961)

    MATH  Google Scholar 

  27. N. Manini, L. Salasnich, Bulk and collective properties of a dilute Fermi gas in the BCS–BEC crossover. Phys. Rev. A 71, 033625 (2005)

    Article  ADS  Google Scholar 

  28. R. Haussmann, W. Rantner, S. Cerrito, W. Zwerger, Thermodynamics of the BCS–BEC crossover. Phys. Rev. A 75, 023610 (2007)

    Article  ADS  Google Scholar 

  29. H. Tajima, P. van Wyk, R. Hanai, D. Kagamihara, D. Inotani, M. Horikoshi, Y. Ohashi, Strong-coupling corrections to ground-state properties of a superfluid Fermi gas. Phys. Rev. A 95, 043625 (2017)

    Article  ADS  Google Scholar 

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Acknowledgements

The present work is supported by the University Research Fund (BOF) of the University of Antwerp and by the Flemish Research Foundation (FWO-Vl), Project No. G.0429.15.N and the European Union’s Horizon 2020 research and innovation program under the Marie Skłodowska-Curie Grant Agreement No. 665501.

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Klimin, S.N., Kurkjian, H. & Tempere, J. Anderson–Bogoliubov Collective Excitations in Superfluid Fermi Gases at Nonzero Temperatures. J Low Temp Phys 196, 102–110 (2019). https://doi.org/10.1007/s10909-019-02160-3

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