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Part B: Condensed Matter Physics

On self-energy contributions near Berezinskii–Kosterlitz–Thouless transition in interacting homogeneous 2D Bose system

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Pages 350-368 | Received 05 May 2022, Accepted 21 Oct 2022, Published online: 07 Dec 2022

References

  • A.L. Gaunt, T.F. Schmidutz, I. Gotlibovych, R.P. Smith, and Z. Hadzibabic, Bose–Einstein condensation of atoms in a uniform potential, Phys. Rev. Lett. 110 (2013), pp. 200406.
  • I. Gotlibovych, T.F. Schmidutz, A.L. Gaunt, N. Navon, R.P. Smith, and Z. Hadzibabic, Observing properties of an interacting homogeneous Bose–Einstein condensate: Heisenberg-limited momentum spread, interaction energy, and free-expansion dynamics, Phys. Rev. A 89 (2014), pp. 061604.
  • R. Lopes, C. Eigen, A. Barker, K.G.H. Viebahn, M. Robert-de-Saint-Vincent, N. Navon, Z. Hadzibabic, and R.P. Smith, Quasiparticle energy in a strongly interacting homogeneous Bose–Einstein condensate, Phys. Rev. Lett. 118 (2017), pp. 210401.
  • V. Berezinskii, Destruction of long-range order in one-dimensional and two-dimensional systems having a continuous symmetry group. I. Classical systems, Sov. Phys. JETP 32 (1971), pp. 493–500.
  • V. Berezinskii, Destruction of long-range order in one-dimensional and two-dimensional systems possessing a continuous symmetry group. II. Quantum systems, Sov. J. Exp. Theor. Phys 34 (1972), pp. 610.
  • J.M. Kosterlitz and D.J. Thouless, Ordering, metastability and phase transitions in two-dimensional systems, J. Phys. C Solid State Phys. 6 (1973), pp. 1181.
  • Z. Hadzibabic, P. Krüger, M. Cheneau, B. Battelier, and J. Dalibard, Berezinskii–Kosterlitz–Thouless crossover in a trapped atomic gas, Nature441 (2006), pp. 1118–1121.
  • P. Cladé, C. Ryu, A. Ramanathan, K. Helmerson, and W.D. Phillips, Observation of a 2d Bose gas: From thermal to quasicondensate to superfluid, Phys. Rev. Lett. 102 (2009), pp. 170401. doi:10.1103/PhysRevLett.102.170401.
  • T. Plisson, B. Allard, M. Holzmann, G. Salomon, A. Aspect, P. Bouyer, and T. Bourdel, Coherence properties of a two-dimensional trapped Bose gas around the superfluid transition, Phys. Rev. A 84 (2011), pp. 061606. doi:10.1103/PhysRevA.84.061606.
  • J.-y. Choi, S.W. Seo, and Y.-i. Shin, Observation of thermally activated vortex pairs in a quasi-2d Bose gas, Phys. Rev. Lett. 110 (2013), pp. 175302. doi:10.1103/PhysRevLett.110.175302.
  • D.R. Nelson and J. Kosterlitz, Universal jump in the superfluid density of two-dimensional superfluids, Phys. Rev. Lett. 39 (1977), pp. 1201.
  • D. Bishop and J. Reppy, Study of the superfluid transition in two-dimensional he 4 films, Phys. Rev. Lett. 40 (1978), pp. 1727.
  • V.N. Popov, Functional Integrals in Quantum Field Theory and Statistical Physics, Vol. 8. Springer Science & Business Media, 2001.
  • Y. Kagan, B. Svistunov, and G. Shlyapnikov, Influence on inelastic processes of the phase transition in a weakly collisional two-dimensional Bose gas, Sov. Phys. JETP 66 (1987), pp. 314.
  • D.S. Fisher and P. Hohenberg, Dilute Bose gas in two dimensions, Phys. Rev. B. 37 (1988), pp. 4936.
  • M. Holzmann, G. Baym, J.-P. Blaizot, and F. Laloë, Superfluid transition of homogeneous and trapped two-dimensional Bose gases, Proc. Natl. Acad. Sci. 104 (2007), pp. 1476–1481.
  • N. Prokof'ev, O. Ruebenacker, and B. Svistunov, Critical point of a weakly interacting two-dimensional Bose gas, Phys. Rev. Lett. 87 (2001), pp. 270402.
  • G. Baym, J.-P. Blaizot, M. Holzmann, F. Laloë, and D. Vautherin, The transition temperature of the dilute interacting Bose gas, Phys. Rev. Lett. 83 (1999), pp. 1703.
  • G. Baym, J.-P. Blaizot, M. Holzmann, F. Laloë, and D. Vautherin, Bose–Einstein transition in a dilute interacting gas, Eur. Phys. J. B Condens. Matter Complex Syst. 24 (2001), pp. 107–124.
  • J. Krieg, P. Lange, L. Bartosch, and P. Kopietz, Second-order interaction corrections to the fermi surface and the quasiparticle properties of dipolar fermions in three dimensions, Phys. Rev. A. 91 (2015), pp. 023612.
  • H.T. Stoof, K.B. Gubbels, and D. Dickerscheid, Ultracold Quantum Fields, Springer, 2009.
  • J.O. Andersen, Theory of the weakly interacting Bose gas, Rev. Mod. Phys. 76 (2004), pp. 599–639. doi:10.1103/RevModPhys.76.599.
  • G. Baym and C.J. Pethick, Landau critical velocity in weakly interacting Bose gases, Phys. Rev. A86 (2012), pp. 023602. doi:10.1103/PhysRevA.86.023602.
  • A. Jerri, Towards a discrete hanke! transform and its applications, Appl. Anal. 7 (1978), pp. 97–109.

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