One-dimensional quantum liquids: Beyond the Luttinger liquid paradigm

A Imambekov, TL Schmidt, LI Glazman - Reviews of Modern Physics, 2012 - APS
For many years, the Luttinger liquid theory has served as a useful paradigm for the
description of one-dimensional (1D) quantum fluids in the limit of low energies. This theory is …

Generalized hydrodynamics in strongly interacting 1D Bose gases

N Malvania, Y Zhang, Y Le, J Dubail, M Rigol… - Science, 2021 - science.org
The dynamics of strongly interacting many-body quantum systems are notoriously complex
and difficult to simulate. A recently proposed theory called generalized hydrodynamics …

Generalized hydrodynamics in the one-dimensional Bose gas: theory and experiments

I Bouchoule, J Dubail - Journal of Statistical Mechanics: Theory …, 2022 - iopscience.iop.org
We review the recent theoretical and experimental progress regarding the generalized
hydrodynamics (GHD) behavior of the one-dimensional (1D) Bose gas with contact …

Diffusion in generalized hydrodynamics and quasiparticle scattering

J De Nardis, D Bernard, B Doyon - SciPost Physics, 2019 - scipost.org
We extend beyond the Euler scales the hydrodynamic theory for quantum and classical
integrable models developed in recent years, accounting for diffusive dynamics and local …

The quench action

JS Caux - Journal of Statistical Mechanics: Theory and …, 2016 - iopscience.iop.org
We give a pedagogical introduction to the methodology of the Quench Action, which is an
effective representation for the calculation of time-dependent expectation values of physical …

Understanding many-body physics in one dimension from the Lieb–Liniger model

YZ Jiang, YY Chen, XW Guan - Chinese Physics B, 2015 - iopscience.iop.org
This article presents an elementary introduction on various aspects of the prototypical
integrable model the Lieb–Liniger Bose gas ranging from the cooperative to the collective …

Solution for an interaction quench in the Lieb-Liniger Bose gas

J De Nardis, B Wouters, M Brockmann, JS Caux - Physical Review A, 2014 - APS
We study a quench protocol where the ground state of a free many-particle bosonic theory in
one dimension is let unitarily evolve in time under the integrable Lieb-Liniger Hamiltonian of …

The effect of atom losses on the distribution of rapidities in the one-dimensional Bose gas

I Bouchoule, B Doyon, J Dubail - SciPost Physics, 2020 - scipost.org
We theoretically investigate the effects of atom losses in the one-dimensional (1D) Bose gas
with repulsive contact interactions, a famous quantum integrable system also known as the …

Exact large-scale correlations in integrable systems out of equilibrium

B Doyon - SciPost Physics, 2018 - scipost.org
Using the theory of generalized hydrodynamics (GHD), we derive exact Euler-scale
dynamical two-point correlation functions of conserved densities and currents in …

Exact local correlations and full counting statistics for arbitrary states of the one-dimensional interacting Bose gas

A Bastianello, L Piroli, P Calabrese - Physical review letters, 2018 - APS
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 …