The term analytic continuation emerges in many branches of Mathematics, Physics, and,
more generally, applied Science. Generally speaking, in many situations, given some …

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 …

A bstract We define three fundamental solvable bilinear deformations for any massive non-
relativistic 2d quantum field theory (QFT). They include the\(\mathrm {T}\overline {\mathrm …

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 study the ground-state properties and excitation spectrum of the Lieb-Liniger model, ie
the one-dimensional Bose gas with repulsive contact interactions. We solve the Bethe …

As the spatial dimension is lowered, locally stabilizing interactions are reduced, leading to
the emergence of strongly fluctuating phases of matter without classical analogues. Here we …

We consider a zero-temperature one-dimensional system of bosons interacting via the soft-
shoulder potential in the continuum, typical of dressed Rydberg gases. We employ quantum …

Experiments with ultracold atoms provide a highly controllable laboratory setting with many
unique opportunities for precision exploration of quantum many-body phenomena. The …

We reveal an intriguing anomaly in the temperature dependence of the specific heat of a
one-dimensional Bose gas. The observed peak holds for arbitrary interaction and …

We present a thorough study of the thermodynamics of a one-dimensional repulsive Bose
gas, focusing in particular on corrections beyond the Luttinger-liquid description. We …