The repulsive Lieb–Liniger model can be obtained as the non-relativistic limit of the Sinh–Gordon model: all physical quantities of the latter model (S-matrix, Lagrangian and operators) can be put in correspondence with those of the former. We use this mapping, together with the Thermodynamical Bethe Ansatz equations and the exact form factors of the Sinh–Gordon model, to set up a compact and general formalism for computing the expectation values of the Lieb–Liniger model both at zero and finite temperatures. The computation of one-point correlators is thoroughly detailed and when possible compared with known results in the literature.

One-dimensional Lieb-Liniger Bose gas as nonrelativistic limit of the sinh-Gordon model / Kormos, M.; Mussardo, G.; Trombettoni, A.. - In: PHYSICAL REVIEW A. - ISSN 1050-2947. - 81:4(2010), pp. 043606-043628. [10.1103/PhysRevA.81.043606]

One-dimensional Lieb-Liniger Bose gas as nonrelativistic limit of the sinh-Gordon model

Mussardo G.;Trombettoni A.
2010

Abstract

The repulsive Lieb–Liniger model can be obtained as the non-relativistic limit of the Sinh–Gordon model: all physical quantities of the latter model (S-matrix, Lagrangian and operators) can be put in correspondence with those of the former. We use this mapping, together with the Thermodynamical Bethe Ansatz equations and the exact form factors of the Sinh–Gordon model, to set up a compact and general formalism for computing the expectation values of the Lieb–Liniger model both at zero and finite temperatures. The computation of one-point correlators is thoroughly detailed and when possible compared with known results in the literature.
81
4
043606
043628
Kormos, M.; Mussardo, G.; Trombettoni, A.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11767/16312
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