Determination of Scale-Invariant Equations of State without Fitting Parameters: Application to the Two-Dimensional Bose Gas Across the Berezinskii-Kosterlitz-Thouless Transition. Desbuquois, R.; Yefsah, T.; Chomaz, L.; Weitenberg, C.; Corman, L.; Nascimbène, S.; and Dalibard, J. Physical Review Letters, 113(2):020404, July, 2014.
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We present a general “fit-free” method for measuring the equation of state (EoS) of a scale-invariant gas. This method, which is inspired from the procedure introduced by Ku et al. [Science 335, 563 (2012)] for the unitary three-dimensional Fermi gas, provides a general formalism which can be readily applied to any quantum gas in a known trapping potential, in the frame of the local density approximation. We implement this method on a weakly interacting two-dimensional Bose gas across the Berezinskii-Kosterlitz-Thouless transition and determine its EoS with unprecedented accuracy in the critical region. Our measurements provide an important experimental benchmark for classical-field approaches which are believed to accurately describe quantum systems in the weakly interacting but nonperturbative regime.
@article{ desbuquois_determination_2014,
  title = {Determination of {Scale}-{Invariant} {Equations} of {State} without {Fitting} {Parameters}: {Application} to the {Two}-{Dimensional} {Bose} {Gas} {Across} the {Berezinskii}-{Kosterlitz}-{Thouless} {Transition}},
  volume = {113},
  shorttitle = {Determination of {Scale}-{Invariant} {Equations} of {State} without {Fitting} {Parameters}},
  doi = {10.1103/PhysRevLett.113.020404},
  abstract = {We present a general “fit-free” method for measuring the equation of state (EoS) of a scale-invariant gas. This method, which is inspired from the procedure introduced by Ku et al. [Science 335, 563 (2012)] for the unitary three-dimensional Fermi gas, provides a general formalism which can be readily applied to any quantum gas in a known trapping potential, in the frame of the local density approximation. We implement this method on a weakly interacting two-dimensional Bose gas across the Berezinskii-Kosterlitz-Thouless transition and determine its EoS with unprecedented accuracy in the critical region. Our measurements provide an important experimental benchmark for classical-field approaches which are believed to accurately describe quantum systems in the weakly interacting but nonperturbative regime.},
  language = {en},
  number = {2},
  urldate = {2014-09-05},
  journal = {Physical Review Letters},
  author = {Desbuquois, Rémi and Yefsah, Tarik and Chomaz, Lauriane and Weitenberg, Christof and Corman, Laura and Nascimbène, Sylvain and Dalibard, Jean},
  month = {July},
  year = {2014},
  pages = {020404},
  annote = {lien de la fiche : http://link.aps.org/doi/10.1103/PhysRevLett.113.020404},
  file = {APS Snapshot:C\:\\Users\̧onsultation\\AppData\\Roaming\\Mozilla\\Firefox\\Profiles\\1rk8mjlp.julien\\zotero\\storage\\E6UWJ3Z5\\PhysRevLett.113.html:text/html}
}
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