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The Virial Expansion of a Dilute Bose Gas in Two Dimensions

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Abstract

In terms of the s-wave phase shift of the two-body scattering at thermal wavelength, a systematic perturbative expansion of the Virial coefficients is developed for a two-dimensional dilute system of bosons in its gaseous phase at low temperature. The thermodynamic functions are calculated to the second order of the expansion parameter. The observability of the universal low energy limit of the two dimensional phase shift with a quasi-two dimensional atomic gas in an anisotropic trap is discussed.

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REFERENCES

  1. F. Dalfovo, S. Giorgini, L. P. Pitaevskii, and S. Stringari, Rev. Mod. Phys. 71:463 (1999).

    Google Scholar 

  2. T. D. Lee and C. N. Yang, Phys. Rev. 105:1119 (1957).

    Google Scholar 

  3. T. D. Lee and C. N. Yang, Phys. Rev. 113:1165 (1959); 116:25 (1959).

    Google Scholar 

  4. E. Lieb, J. Math. Phys. 8:43 (1967).

    Google Scholar 

  5. M. Schick, Phys. Rev. A 3:1067 (1971).

    Google Scholar 

  6. V. N. Popov, Theor. and Math. Phys. 11:565 (1977).

    Google Scholar 

  7. D. F. Hines, N. E. Frankel, and D. J. Mitchell, Phys. Lett. A 3:1067 (1978)

    Google Scholar 

  8. D. S. Fisher and P. C. Hohenberg, Phys. Rev. B 37:4936 (1988).

    Google Scholar 

  9. A. A. Ovchinnikov, J. Phys. Condens. Mat. 5:8665 (1993).

    Google Scholar 

  10. J. O. Anderson, Eur. Phys. J. B 28:389 (2002).

    Google Scholar 

  11. S. K. Adhikari, Amer. J. Phys. 54:362 (1986).

    Google Scholar 

  12. K. Chadan, N. N. Khuri, A. Martin, and T. T. Wu, Phys. Rev. D 58:025014 (1998).

    Google Scholar 

  13. P. C. Hohenberg, Phys. Rev. 158:383 (1967).

    Google Scholar 

  14. R. Friedberg, T. D. Lee, and Hai-cang Ren, Phys. Rev. B 50:10190 (1994).

    Google Scholar 

  15. E. Beth and G. E. Uhlenbeck, Physica 4:915 (1937).

    Google Scholar 

  16. T. D. Lee and C. N. Yang, Phys. Rev. 117:12 (1960).

    Google Scholar 

  17. E. H. Lieb and J. Yngvason, J. Stat. Phys. 103:509 (2001).

    Google Scholar 

  18. D. S. Petrov, M. Holzmann, and G. V. Shlyapnikov, Phys. Rev. Lett. 84:2551 (2000).

    Google Scholar 

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  1. Physics Department, The Rockefeller University, 1230 York Avenue, New York, New York, 10021-6399

    Hai-cang Ren

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  1. Hai-cang Ren
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Ren, Hc. The Virial Expansion of a Dilute Bose Gas in Two Dimensions. Journal of Statistical Physics 114, 481–501 (2004). https://doi.org/10.1023/B:JOSS.0000003117.00478.77

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  • DOI: https://doi.org/10.1023/B:JOSS.0000003117.00478.77

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