Correlation functions of a Lieb-Liniger Bose gas

Physics – Condensed Matter – Other Condensed Matter

Scientific paper

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10 pages, 8 figures, contribution to Cortona BEC JPB special issue

Scientific paper

10.1088/0953-4075/39/10/S01

The ground-state correlation functions of a one-dimensional homogeneous Bose system described by the Lieb-Liniger Hamiltonian are investigated by using exact quantum Monte Carlo techniques. This article is an extension of a previous study published in Phys. Rev. A {\bf 68}, 031602 (2003). New results on the local three-body correlator as a function of the interaction strength are included and compared with the measured value from three-body loss experiments. We also carry out a thorough study of the short- and long-range behavior of the one-body density matrix.

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