Expectation Values in the Lieb-Liniger Bose Gas
Márton KormosSISSA and INFN, Sezione di Trieste, via Beirut 2/4, I-34151 Trieste, ItalyGiuseppe MussardoInternational Centre for Theoretical Physics (ICTP), I-34151, Trieste, ItalyAndrea TrombettoniSISSA and INFN, Sezione di Trieste, via Beirut 2/4, I-34151, Trieste, Italy
2009en
ABI
Abstract
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.
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Cited by 20 references