EXPECTATION VALUES IN THE LIEB-LINIGER BOSE GAS

Giuseppe Mussardo, SISSA Trieste

I will show that the repulsive Lieb-Liniger model of bosonic cold atoms can be regarded as the non-relativistic limit of the Sinh-Gordon quantum field theory: all physical quantities of the latter model (S-matrix, Lagrangian and operators) can be put in correspondence with those of the former. I use this mapping, together with the Thermodynamic 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 temperature. The computation of one-point correlators is thoroughly detailed and, when possible, compared with known results.