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Yang-Yang thermometry and momentum distribution of a trapped one-dimensional Bose gas

M. J. Davis, P. B. Blakie, A. H. van Amerongen, N. J. van Druten, and K. V. Kheruntsyan
Phys. Rev. A 85, 031604(R) – Published 23 March 2012

Abstract

We describe the use of the exact Yang-Yang solutions for the one-dimensional Bose gas to enable accurate kinetic-energy thermometry based on the root-mean-square width of an experimentally measured momentum distribution. Furthermore, we use the stochastic projected Gross-Pitaevskii theory to provide a quantitative description of the full momentum distribution measurements of Van Amerongen et al. [Phys. Rev. Lett. 100, 090402 (2008)]. We find the fitted temperatures from the stochastic projected Gross-Pitaevskii approach are in excellent agreement with those determined by Yang-Yang kinetic-energy thermometry.

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  • Received 17 August 2011

DOI:https://doi.org/10.1103/PhysRevA.85.031604

©2012 American Physical Society

Authors & Affiliations

M. J. Davis1, P. B. Blakie2, A. H. van Amerongen3,*, N. J. van Druten3, and K. V. Kheruntsyan1

  • 1School of Mathematics and Physics, The University of Queensland, Queensland 4072, Australia
  • 2Jack Dodd Centre for Quantum Technology, Department of Physics, University of Otago, Dunedin, New Zealand
  • 3Van der Waals-Zeeman Institute, University of Amsterdam, Science Park 904, 1098 XH Amsterdam, The Netherlands

  • *Current address: SRON, Netherlands Institute for Space Research, Utrecht, The Netherlands.

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Vol. 85, Iss. 3 — March 2012

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