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.

Expectation values in the Lieb-Liniger bose gas / Kormos, M; Mussardo, G; Trombettoni, A. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - 103:21(2009), pp. 1-4. [10.1103/PhysRevLett.103.210404]

Expectation values in the Lieb-Liniger bose gas

Mussardo, G;Trombettoni, A
2009-01-01

Abstract

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.
2009
103
21
1
4
210404
https://arxiv.org/abs/0909.1336
Kormos, M; Mussardo, G; Trombettoni, A
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/15036
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