Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2001-04-06
Nucl.Phys. B608 (2001) 577-590
Physics
Condensed Matter
Statistical Mechanics
Scientific paper
10.1016/S0550-3213(01)00271-1
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.
Bergere Michel
Imura Ken-ichiro
Ouvry Stéphane
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