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Quantum Fluctuations and Vortex-Antivortex Unbinding in the 2D Bcs-Bec Crossover

Abstract

Very recently, quasi two-dimensional (2D) systems made of attractive fermionic alkali-metal atoms with a widely tunable interaction due to Fano-Feshbach resonances have been realized. In this way, it has been achieved the 2D crossover from the Bardeen-Cooper-Schrieffer regime of weakly-interacting Cooper pairs to the Bose-Einstein condensate regime strongly bound dimers. These experiments pave the way to the investigation of 2D strongly-interacting attractive fermions during the Berezinskii-Kosterlitz-Thouless (BKT) transition from a low-temperature superfluid phase characterized by quasi-condensation to a high-temperature normal phase, where vortex proliferation driven by quantum and thermal fluctuations completely destroys superfluidity. In this paper, we discuss our preliminar theoretical results on the behavior of the BKT critical temperature across the crossover. Our microscopic calculations are based on functional integration taking into account renormalized Gaussian fluctuations and the crucial 2D effect of vortex-antivortex unbinding.

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References

  1. 1.

    Annett, J.: Superconductivity, Superfluids and Condensates (Oxford Univ. Press., Oxford, 2004); A.J. Leggett, Quantum Liquids (Oxford Univ. Press, Oxford, 2006)

  2. 2.

    Svistunov, B., Babaev, E., Prokof’ev, N.: Superfluid States of Matter (CRC Press, 2015)

  3. 3.

    Zwerger, W.: The BCS-BEC Crossover and the Unitary Fermi Gas, Lecture Notes in Physics, vol. 836. Springer, Berlin (2012)

  4. 4.

    Girardeau, M.: J. Math. Phys. 1, 516 (1960)

  5. 5.

    Lieb, E.H., Liniger, W.: Phys. Rev. 130, 1605 (1963)

  6. 6.

    Lieb, E.H.: Phys. Rev. 130, 1616 (1963)

  7. 7.

    McGuire, J.B.: J. Math. Phys. 5, 622 (1964)

  8. 8.

    Gaudin, M.: Phys. Lett. A 24A, 55 (1967)

  9. 9.

    Yang, C.N.: Phys. Rev. Lett. 19, 1312 (1967)

  10. 10.

    Luther, A., Emery, V.J.: Phys. Rev. Lett. 33, 589 (1974)

  11. 11.

    Fuchs, J.N., Recati, A., Zwerger, W.: Phys. Rev. Lett. 93, 090408 (2004)

  12. 12.

    Larkin, A., Varlamov, A.: Theory of Fluctuations in Superconductors (Oxford Univ. Press, Oxford (2005)

  13. 13.

    Makhalov, V., Martiyanov, K., Turlapov, A.: Phys. Rev. Lett. 112, 045301 (2014)

  14. 14.

    Ries, M.G., et al.: Phys. Rev. Lett. 114, 230401 (2015)

  15. 15.

    Murthy, P.A., et al.: Phys. Rev. Lett. 115, 010401 (2015)

  16. 16.

    Boettcher, I., et al.: Phys. Rev. Lett. 116, 045303 (2016)

  17. 17.

    Salasnich, L., Marchetti, P.A., Toigo, F.: Phys. Rev. A 88, 053612 (2013)

  18. 18.

    Salasnich, L., Toigo, F.: Phys. Rev. A 91(R), 011604 (2015)

  19. 19.

    He, L., Lu, H., Cao, G., Hu, H., Liu, X.-J.: Phys. Rev. A 92, 023620 (2015)

  20. 20.

    Bighin, G., Salasnich, L.: Phys. Rev. B 93, 014519 (2016)

  21. 21.

    Salasnich, L., Toigo, F.: Phys. Rep. 640, 1 (2016)

  22. 22.

    Chen, Q., Stajic, J., Tan, S., Levin, K.: Phys. Rep. 412, 1 (2005)

  23. 23.

    Okazaji, K., et al.: Sci. Rep. 4, 4109 (2014)

  24. 24.

    Nelson, D.R., Kosterlitz, J.M.: Phys. Rev. Lett. 39, 1201 (1977)

  25. 25.

    Matsumoto, M., Inotani, D., Ohashi, Y.: Phys. Rev. A 93, 013619 (2016)

  26. 26.

    Scalapino, D.J.: Rev. Mod. Phys. 84, 1383 (2012)

  27. 27.

    Perali, A., Neilson, D., Hamilton, A.R.: Phys. Rev. Lett. 110, 146803 (2013)

  28. 28.

    Hagino, K., Sagawa, H., Carbonell, J., Schuck, P.: Phys. Rev. Lett. 99, 022506 (2007)

  29. 29.

    Anglani, R., et al.: Rev. Mod. Phys. 86, 509 (2014)

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Acknowledgments

This work was partially supported by MIUR through the PRIN Project “Collective Quantum Phenomena: from Strongly-Correlated Systems to Quantum Simulators”.

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Correspondence to L. Salasnich.

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Salasnich, L., Bighin, G. Quantum Fluctuations and Vortex-Antivortex Unbinding in the 2D Bcs-Bec Crossover. J Supercond Nov Magn 29, 3103–3106 (2016). https://doi.org/10.1007/s10948-016-3830-6

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Keywords

  • BCS-BEC crossover
  • Ultracold atoms
  • Dimensional regularization