This article reviews theoretical and experimental developments for one-dimensional Fermi
gases. Specifically, the experimentally realized two-component delta-function interacting …

We derive exact analytic expressions for the n-body local correlations in the one-
dimensional Bose gas with contact repulsive interactions (Lieb-Liniger model) in the …

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 consider the XY spin chain with arbitrary time-dependent magnetic field and anisotropy.
We argue that a certain subclass of Gaussian states, called Coherent Ensemble (CE) …

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 derive the low-temperature large-distance asymptotics of the transversal two-point
functions of the XXZ chain by summing up the asymptotically dominant terms of their …

A quantum system exhibits off-diagonal long-range order (ODLRO) when the largest
eigenvalue $\lambda_0 $ of the one-body-density matrix scales as $\lambda_0\sim N …

We address the problem of calculating the correlation functions of one-dimensional two-
component gases with strong repulsive contact interactions. The model considered in this …