Back
Full-text
Journal article

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 Institute for Quantum Electronics, ETH Zurich, 8093 Zurich, Switzerland.
  • Yefsah T MIT-Harvard Center for Ultracold Atoms, Research Laboratory of Electronics, Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA.
  • Chomaz L Laboratoire Kastler Brossel, CNRS, UPMC, ENS, 24 rue Lhomond, F-75005 Paris, France and Collège de France, 11 Place Marcelin Berthelot, 75231 Paris Cedex 05, France.
  • Weitenberg C Institut für Laserphysik, Universität Hamburg, Luruper Chaussee 149, D-22761 Hamburg, Germany.
  • Corman L Laboratoire Kastler Brossel, CNRS, UPMC, ENS, 24 rue Lhomond, F-75005 Paris, France.
  • Nascimbène S Laboratoire Kastler Brossel, CNRS, UPMC, ENS, 24 rue Lhomond, F-75005 Paris, France.
  • Dalibard J Laboratoire Kastler Brossel, CNRS, UPMC, ENS, 24 rue Lhomond, F-75005 Paris, France and Collège de France, 11 Place Marcelin Berthelot, 75231 Paris Cedex 05, France.
Show more…
  • 2014-07-26
Published in:
  • Physical review letters. - 2014
General Physics and Astronomy
English 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
  • English
Open access status
green
Identifiers
Persistent URL
https://sonar.ch/global/documents/52084
Statistics
Document views: 23 File downloads:
  • Full-text: 0