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Thermal Global Expansion Coefficient Measurement for a Harmonic Trapped Gas Across Bose-Einstein Condensation

Abstract

We report the measurement of the global thermal expansion coefficient of a confined Bose gas of 87Rb in a harmonic potential around the Bose-Einstein condensation transition temperature. We use the concept of global thermodynamic variable, previously introduced and appropriated for a non-homogeneous system. We observe the behavior of the thermal expansion coefficient above and below the critical temperature showing the lambda-like shape present in superfluid helium. The study demonstrates the potentiality of global thermodynamic variables for the investigation of properties across the critical temperature, and a new way to study the thermodynamic properties of the quantum systems.

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References

  1. 1.

    G. Baym, J.-P. Blaizot, M. Holzmann, F. Laloë, D. Vautherin, Phys. Rev. Lett. 83, 1703 (1999)

    ADS  Article  Google Scholar 

  2. 2.

    T.C.P.C.J.A. Nissen, J.A. Lipa, J. Low Temp. Phys. 92 (1993)

  3. 3.

    V. Romero-Rochín, Phys. Rev. Lett. 94, 130601 (2005)

    ADS  Article  Google Scholar 

  4. 4.

    V. Romero-Rochín, Braz. J. Phys. 35, 607 (2005)

    ADS  Article  Google Scholar 

  5. 5.

    N. Sandoval-Figueroa, V Romero-Rochín, Phys. Rev. E. 78, 061129 (2008)

    ADS  Article  Google Scholar 

  6. 6.

    A.G. Sotnikov, K.V. Sereda, Y.V. Slyusarenko, Low Temp. Phys. 43, 144 (2017). https://doi.org/10.1063/1.4975807

    ADS  Article  Google Scholar 

  7. 7.

    V.R. Rochín, V.S. Bagnato, Braz. J. Phys. 35, 607 (2005)

    ADS  Article  Google Scholar 

  8. 8.

    V. Romero-Rochin, R.F. Shiozaki, M. Caracanhas, E.A.L. Henn, K. M. F. Magalhães, G. Roati, V.S. Bagnato, Phys. Rev. A. 85, 023632 (2012)

    ADS  Article  Google Scholar 

  9. 9.

    R.F. Shiozaki, G.D. Telles, P. Castilho, F.J. Poveda-Cuevas, S.R. Muniz, G. Roati, V. Romero-Rochin, V.S. Bagnato, Phys. Rev. A. 90, 043640 (2014)

    ADS  Article  Google Scholar 

  10. 10.

    F.J. Poveda-Cuevas, P.C.M. Castilho, E.D. Mercado-Gutierrez, A.R. Fritsch, S.R. Muniz, E. Lucioni, G. Roati, V.S. Bagnato, Phys. Rev. A. 92, 013638 (2015)

    ADS  Article  Google Scholar 

  11. 11.

    P.C.M. Castilho, F.J. Poveda-Cuevas, J.A. Seman, R.F. Shiozaki, G. Roati, S.R. Muniz, D.V. Magalhães, V.S. Bagnato, New J. Phys. 18, 023014 (2016)

    ADS  Article  Google Scholar 

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Acknowledgements

We greatly appreciate the collaboration with V. Romero-Rochín (UNAM - México), D. Varela Magalhães, S. R. Muniz, K. Magalhães, G. Telles, Emanuel Henn, and G. Roati.

Funding

This study received financial support from Fapesp, program CEPID, and Capes.

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Correspondence to E. D. Mercado-Gutiérrez.

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Mercado-Gutiérrez, E.D., Poveda-Cuevas, F.J. & Bagnato, V.S. Thermal Global Expansion Coefficient Measurement for a Harmonic Trapped Gas Across Bose-Einstein Condensation. Braz J Phys 48, 539–542 (2018). https://doi.org/10.1007/s13538-018-0593-5

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Keywords

  • Thermal expansion coefficient
  • Bose-Einstein condensate
  • Global thermodynamics variables