Effective-range corrections to the ground-state energy of the weakly-interacting Bose gas in two dimensions

Regular Article

Abstract

Nonuniversal effects due to leading effective-range corrections are computed for the ground-state energy of the weakly-coupled repulsive Bose gas in two spatial dimensions. Using an effective field theory of contact interactions, these corrections are computed first by considering fluctuations around the mean-field free energy of a system of interacting bosons. This result is then confirmed by an exact calculation in which the energy of a finite number of bosons interacting in a square with periodic boundary conditions is computed and the thermodynamic limit is explicitly taken.

Graphical abstract

Keywords

Cold Matter and Quantum Gas 

References

  1. 1.
    A. Posazhennikova, Rev. Mod. Phys. 78, 1111 (2006) ADSCrossRefGoogle Scholar
  2. 2.
    I. Bloch, J. Dalibard, W. Zwerger, Rev. Mod. Phys. 80, 885 (2008) ADSCrossRefGoogle Scholar
  3. 3.
    T. Yefsah, R. Desbuquois, L. Chomaz, K.J. Günter, J. Dalibard, Phys. Rev. Lett. 107, 130401 (2011) ADSCrossRefGoogle Scholar
  4. 4.
    Z. Hadzibabic, P. Kruger, M. Cheneau, B. Battelier, J. Dalibard, Nature 441, 1118 (2006) ADSCrossRefGoogle Scholar
  5. 5.
    P. Cladé, C. Ryu, A. Ramanathan, K. Helmerson, W.D. Phillips, Phys. Rev. Lett. 102, 170401 (2009) ADSCrossRefGoogle Scholar
  6. 6.
    R. Desbuquois, L. Chomaz, T. Yefsah, J. Leonard, J. Beugnon, C. Weitenberg, J. Dalibard, Nat. Phys. 8, 645 (2012) CrossRefGoogle Scholar
  7. 7.
    D.B. Kaplan, arXiv:nucl-th/0510023 (2005)
  8. 8.
    J.O. Andersen, Rev. Mod. Phys. 76, 599 (2004) ADSCrossRefGoogle Scholar
  9. 9.
    E. Braaten, H.W. Hammer, Phys. Rep. 428, 259 (2006) ADSMathSciNetCrossRefGoogle Scholar
  10. 10.
    M. Schick, Phys. Rev. A 3, 1067 (1971) ADSCrossRefGoogle Scholar
  11. 11.
    V.N. Popov, Theor. Math. Phys. 11, 565 (1972) CrossRefGoogle Scholar
  12. 12.
    D.S. Fisher, P.C. Hohenberg, Phys. Rev. B 37, 4936 (1988) ADSCrossRefGoogle Scholar
  13. 13.
    E.H. Lieb, J. Yngvason, J. Stat. Phys. 103, 509 (2001) CrossRefGoogle Scholar
  14. 14.
    A.Y. Cherny, A.A. Shanenko, Phys. Rev. E 64, 027105 (2001) ADSCrossRefGoogle Scholar
  15. 15.
    C. Mora, Y. Castin, Phys. Rev. Lett. 102, 180404 (2009) ADSCrossRefGoogle Scholar
  16. 16.
    J. Andersen, Eur. Phys. J. B 28, 389 (2002) ADSCrossRefGoogle Scholar
  17. 17.
    G.E. Astrakharchik, J. Boronat, I.L. Kurbakov, Y.E. Lozovik, F. Mazzanti, Phys. Rev. A 81, 013612 (2010) ADSCrossRefGoogle Scholar
  18. 18.
    L. Salasnich, Phys. Rev. Lett. 118, 130402 (2017) ADSCrossRefGoogle Scholar
  19. 19.
    E. Braaten, H.W. Hammer, S. Hermans, Phys. Rev. A 63, 063609 (2001) ADSCrossRefGoogle Scholar
  20. 20.
    S.R. Beane, Phys. Rev. A 82, 063610 (2010) ADSCrossRefGoogle Scholar
  21. 21.
    E. Braaten, A. Nieto, Phys. Rev. B 55, 8090 (1997) ADSCrossRefGoogle Scholar
  22. 22.
    B.J. Verhaar, J.P.H.W. van den Eijnde, M.A.J. Voermans, M.M.J. Schaffrath, J. Phys. A 17, 595 (1984) ADSCrossRefGoogle Scholar
  23. 23.
    S. Pilati, J. Boronat, J. Casulleras, S. Giorgini, Phys. Rev. A 71, 023605 (2005) ADSCrossRefGoogle Scholar
  24. 24.
    G.E. Astrakharchik, J. Boronat, J. Casulleras, I.L. Kurbakov, Y.E. Lozovik, Phys. Rev. A 79, 051602 (2009) ADSCrossRefGoogle Scholar
  25. 25.
    H.R. Fiebig, A. Dominguez, R.M. Woloshyn, Nucl. Phys. B 418, 649 (1994) ADSCrossRefGoogle Scholar
  26. 26.
    S.R. Beane, W. Detmold, M.J. Savage, Phys. Rev. D 76, 074507 (2007) ADSCrossRefGoogle Scholar
  27. 27.
    W. Detmold, M.J. Savage, Phys. Rev. D 77, 057502 (2008) ADSCrossRefGoogle Scholar

Copyright information

© EDP Sciences, SIF, Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of PhysicsUniversity of WashingtonSeattleUSA

Personalised recommendations