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Joule expansion of a quantum gas

Christopher J. Ho*,†,‡, Simon M. Fischer*, Gevorg Martirosyan, Sebastian J. Morris, Jiří Etrych, Christoph Eigen, and Zoran Hadzibabic

  • *These authors contributed equally to this work.
  • †Present address: Centre for Cold Matter, Blackett Laboratory, Imperial College London, Prince Consort Road, London SW7 2AZ, United Kingdom.
  • ‡Contact author: cjh211@ic.ac.uk
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Phys. Rev. Research 7, L022048 – Published 2 June, 2025

DOI: https://doi.org/10.1103/PhysRevResearch.7.L022048

Abstract

We revisit the classic Joule-expansion experiments, now with a quantum-degenerate atomic Bose gas. In contrast to the classical-gas experiments, where no temperature change was measured, here we observe and quantitatively explain both cooling and heating effects, which arise, respectively, due to quantum statistics and interparticle interactions.

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References (28)

  1. L. J. Gay-Lussac, First attempt to determine the changes in temperature which gases experience owing to changes of density, and considerations on their capacity of heat, Mem. Soc. d'Arcueil 1, 180 (1807).
  2. J. P. Joule, On the changes of temperature produced by the rarefaction and condensation of air, Lond. Edinb. Dubl. Phil. Mag., 26, 369 (1845).
  3. D. S. L. Cardwell, From Watt to Clausius: The rise of thermodynamics in the early industrial age (Cornell University Press, New York, 1971).
  4. J.-O. Goussard and B. Roulet, Free expansion for real gases, Am. J. Phys. 61, 845 (1993).
  5. M. W. Zemansky and R. H. Dittman, Heat and Thermodynamics, 7th ed. (McGraw-Hill, New York, 1997).
  6. Typically, this ratio is ∼10−3.
  7. J. R. Roebuck, The Joule-Thomson effect in Air. Second paper, Proc. Am. Acad. Arts Sci. 64, 287 (1930).
  8. 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, 200406 (2013).
  9. N. Navon, R. P. Smith, and Z. Hadzibabic, Quantum gases in optical boxes, Nat. Phys. 17, 1334 (2021).
  10. D. Kothari and B. Srinivasa, Joule-Thomson effect and quantum statistics, Nature (London) 140, 970 (1937).
  11. T. F. Schmidutz, I. Gotlibovych, A. L. Gaunt, R. P. Smith, N. Navon, and Z. Hadzibabic, Quantum Joule-Thomson effect in a saturated homogeneous Bose gas, Phys. Rev. Lett. 112, 040403 (2014).
  12. Y. Ji, J. Chen, G. L. Schumacher, G. G. T. Assumpçao, S. Huang, F. J. Vivanco, and N. Navon, Observation of the fermionic Joule-Thomson effect, Phys. Rev. Lett. 132, 153402 (2024).
  13. In harmonically trapped quantum gases many fascinating thermodynamic studies were performed in the regime where the interaction energy is comparable to or dominates the kinetic one [14, 15, 16, 17, 18, 19], but these systems are not naturally suited for the textbook gas-expansion experiments.
  14. F. Gerbier, J. H. Thywissen, S. Richard, M. Hugbart, P. Bouyer, and A. Aspect, Experimental study of the thermodynamics of an interacting trapped Bose-Einstein condensed gas, Phys. Rev. A 70, 013607 (2004).
  15. S. Nascimbène, N. Navon, K. J. Jiang, F. Chevy, and C. Salomon, Exploring the thermodynamics of a universal Fermi gas, Nature (London) 463, 1057 (2010).
  16. N. Navon, S. Piatecki, K. Günter, B. Rem, T. C. Nguyen, F. Chevy, W. Krauth, and C. Salomon, Dynamics and thermodynamics of the low-temperature strongly interacting Bose gas, Phys. Rev. Lett. 107, 135301 (2011).
  17. T. Yefsah, R. Desbuquois, L. Chomaz, K. J. Günter, and J. Dalibard, Exploring the thermodynamics of a two-dimensional Bose gas, Phys. Rev. Lett. 107, 130401 (2011).
  18. M. J. H. Ku, A. T. Sommer, L. W. Cheuk, and M. W. Zwierlein, Revealing the superfluid lambda transition in the universal thermodynamics of a unitary Fermi gas, Science 335, 563 (2012).
  19. C. Mordini, D. Trypogeorgos, A. Farolfi, L. Wolswijk, S. Stringari, G. Lamporesi, and G. Ferrari, Measurement of the canonical equation of state of a weakly interacting 3D Bose gas, Phys. Rev. Lett. 125, 150404 (2020).
  20. J. Etrych, G. Martirosyan, A. Cao, J. A. P. Glidden, L. H. Dogra, J. M. Hutson, Z. Hadzibabic, and C. Eigen, Pinpointing Feshbach resonances and testing Efimov universalities in K39, Phys. Rev. Res. 5, 013174 (2023).
  21. See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevResearch.7.L022048 for details of our numerical calculations and temperature measurements, which includes Ref. [28].
  22. C. Pethick and H. Smith, Bose-Einstein Condensation in Dilute Gases (Cambridge University Press, Cambridge, 2002).
  23. G. Gauthier, T. A. Bell, A. B. Stilgoe, M. Baker, H. Rubinsztein-Dunlop, and T. W. Neely, Dynamic high-resolution optical trapping of atoms, in Advances in Atomic, Molecular and Optical Physics, Vol. 70, edited by L. F. Dimauro, H. Perrin, and S. F. Yelin (Academic Press, 2021), pp. 1–101.
  24. N. M. Myers, O. Abah, and S. Deffner, Quantum thermodynamic devices: From theoretical proposals to experimental reality, AVS Quantum Sci. 4, 027101 (2022).
  25. J. Koch, K. Menon, E. Cuestas, S. Barbosa, E. Lutz, T. Fogarty, T. Busch, and A. Widera, A quantum engine in the BEC-BCS crossover, Nature (London) 621, 723 (2023).
  26. J. A. Estrada, F. Mayo, A. J. Roncaglia, and P. D. Mininni, Quantum engines with interacting Bose-Einstein condensates, Phys. Rev. A 109, 012202 (2024).
  27. https://doi.org/10.17863/CAM.116975.
  28. C. Eigen, A. L. Gaunt, A. Suleymanzade, N. Navon, Z. Hadzibabic, and R. P. Smith, Observation of weak collapse in a Bose-Einstein condensate, Phys. Rev. X 6, 041058 (2016).

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Phys. Rev. Research 7, L022048– Published 2 June, 2025
  • Received 2 December 2024
  • Accepted 6 April 2025
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