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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
; | | Date: |
23 Jun 2005 | | Subject: | Other | cond-mat.other | | 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 $gamma$ 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. | | Source: | arXiv, cond-mat/0506609 | | Services: | Forum | Review | PDF | Favorites | |
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