Local correlations in a strongly interacting one-dimensional Bose gas

We develop an analytical method for calculating local correlations in strongly interacting one-dimensional (1D) Bose gases, based on the exactly solvable Lieb–Liniger model. The results are obtained at zero and finite temperatures. They describe the interaction-induced reduction of local many-body correlation functions and can be used for achieving and identifying the strong-coupling Tonks–Girardeau regime in experiments with cold Bose gases in the 1D regime.