- Local correlations in the 1D Bose gas from a scaling limit of the XXZ chain
- Journal of Statistical Mechanics : Theory and Experiment
- Volume | Issue number
- 2011 | 11
- Article number
- Number of pages
- Document type
- Faculty of Science (FNWI)
- Institute for Theoretical Physics Amsterdam (ITFA)
We consider the K-body local correlations in the (repulsive) 1D Bose gas for general K, both at finite size and in the thermodynamic limit. Concerning the latter we develop a multiple integral formula which applies for arbitrary states of the system with a smooth distribution of Bethe roots, including the ground state and finite-temperature Gibbs states. In the cases K ≤ 4 we perform the explicit factorization of the multiple integral. In the case of K = 3 we obtain the recent result of Kormos et al, whereas our formula for K = 4 is new. Numerical results are presented as well.
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