We present a comprehensive review on the state-of-the-art of the approximate analytic
approaches describing the finite-temperature thermodynamic quantities of the Lieb-Liniger …

We derive exact formulas for the expectation value of local observables in a one-
dimensional gas of bosons with point-wise repulsive interactions (Lieb–Liniger model) …

We present a comprehensive study shedding light on how thermal fluctuations affect
correlations in a Bose gas with contact repulsive interactions in one spatial dimension. The …

We provide a thorough characterisation of the zero-temperature one-particle density matrix
of trapped interacting anyonic gases in one dimension, exploiting recent advances in the …

We consider the ground-state properties of an extended one-dimensional Bose gas with
pointwise attractive interactions. We take the limit where the interaction strength goes to zero …

arXiv:1508.06085v1 [math-ph] 25 Aug 2015 Page 1 arXiv:1508.06085v1 [math-ph] 25 Aug 2015
Année: 2015 Institut de Mathématiques de Bourgogne Université de Bourgogne Th`ese …

We derive an exact formula for the field form factor in the anyonic Lieb–Liniger model, valid
for arbitrary values of the interaction c, anyonic parameter κ, and number of particles N …

Abstract Number fluctuations in a one-dimensional Bose gas consist of contributions from
grainy fluctuations of localized domains (the density grains). We have derived a set of …

In this paper we study a suitable limit of integrable QFT with the aim to identify continuous
non-relativistic integrable models with local interactions. This limit amounts to sending to …