Expectation Values in the Lieb-Liniger Bose Gas

Details Expectation Values in the Lieb-Liniger Bose Gas Expectation Values in the Lieb-Liniger Bose Gas

2009-09-07

arxiv.org/abs/0909.1336v2

Phys. Rev. Lett. 103, 210404 (2009); Virtual Journal of Atomic Quantum Fluids, Vol.1, Issue 6

Physics

Condensed Matter

Statistical Mechanics

Published version. Selected for the December 2009 issue of Virtual Journal of Atomic Quantum Fluids

Scientific paper

10.1103/PhysRevLett.103.210404

Taking advantage of an exact mapping between a relativistic integrable model and the Lieb-Liniger model we present a novel method to compute expectation values in the Lieb-Liniger Bose gas 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.

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