Article Dans Une Revue Nuclear Physics B Année : 2001

Discrete thermodynamic Bethe ansatz

Résumé

We propose discrete TBA equations for models with discrete spectrum. We illustrate our construction on the Calogero-Moser model and determine the discrete 2-body TBA function which yields the exact N-body Calogero-Moser thermodynamics. We apply this algorithm to the Lieb-Liniger model in a harmonic well, a model which is relevant for the microscopic description of harmonically trapped Bose-Einstein condensates in one dimension. We find that the discrete TBA reproduces correctly the N-body groundstate energy of the Lieb-Liniger model in a harmonic well at first order in perturbation theory, but corrections do appear at second order.

Dates et versions

hal-00002236 , version 1 (21-07-2004)

Identifiants

Citer

Michel Bergere, Ken-Ichiro Imura, Stéphane Ouvry. Discrete thermodynamic Bethe ansatz. Nuclear Physics B, 2001, 608, pp.577. ⟨hal-00002236⟩
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