Determination of Scale-Invariant Equations of State without Fitting Parameters: Application to the Two-Dimensional Bose Gas Across the Berezinskii-Kosterlitz-Thouless Transition
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PhysRevLett.113.020404.pdf
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Author(s)
Desbuquois, Remi
Yefsah, Tarik
Chomaz, Lauriane
Weitenberg, Christof
Corman, Laura
Nascimbene, Sylvain
Dalibard, Jean
Date Issued
July 2014
Journal
Physical Review Letters
Publisher
American Physical Society
Citation
Desbuquois, Remi, Tarik Yefsah, Lauriane Chomaz, Christof Weitenberg, Laura Corman, Sylvain Nascimbene, and Jean Dalibard. “Determination of Scale-Invariant Equations of State Without Fitting Parameters: Application to the Two-Dimensional Bose Gas Across the Berezinskii-Kosterlitz-Thouless Transition.” Physical Review Letters 113, no. 2 (July 2014). © 2014 American Physical Society
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Final published version
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.
MIT Department
Massachusetts Institute of Technology. Department of Physics
Massachusetts Institute of Technology. Research Laboratory of Electronics
MIT-Harvard Center for Ultracold Atoms
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DOI of Published Version
https://doi.org/10.1103/PhysRevLett.113.020404
