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Exact Results for Three-Body Correlations in a Degenerate One-Dimensional Bose Gas

Vadim V. Cheianov·H. Smith·M. B. Zvonarev
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Abstract

Motivated by recent experiments we derive an exact expression for the correlation function entering the three-body recombination rate for a one-dimensional gas of interacting bosons. The answer, given in terms of two thermodynamic parameters of the Lieb-Liniger model, is valid for all values of the dimensionless coupling $γ$ and contains the previously known results for the Bogoliubov and Tonks-Girardeau regimes as limiting cases. We also investigate finite-size effects by calculating the correlation function for small systems of 3, 4, 5 and 6 particles.

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Vadim V. Cheianov, H. Smith, M. B. Zvonarev. 2005-06-23. Exact Results for Three-Body Correlations in a Degenerate One-Dimensional Bose Gas. https://doi.org/10.1103/physreva.73.051604

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