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

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

2005-06-23

arxiv.org/abs/cond-mat/0506609v1

Phys. Rev. A 73, 051604(R) (2006)

Physics

Condensed Matter

Other Condensed Matter

4 pages, 2 figures

Scientific paper

10.1103/PhysRevA.73.051604

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 $\gamma$ 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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