Phys. Rev. Lett. 103, 210404 (2009) [4 pages]Expectation Values in the Lieb-Liniger Bose GasReceived 10 August 2009; revised 20 August 2009; published 20 November 2009 We present a novel method to compute expectation values in the Lieb-Liniger model both at zero and finite temperature. These quantities, relevant in the physics of one-dimensional ultracold Bose gases, are expressed by a series that has a remarkable behavior of convergence. Among other results, we show the computation of the three-body expectation value at finite temperature, a quantity that rules the recombination rate of the Bose gas. © 2009 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.103.210404
DOI:
10.1103/PhysRevLett.103.210404
PACS:
05.30.Jp, 02.30.Ik, 03.75.Hh, 67.85.−d
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