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-hydrodynamic approach to inhomogeneous quenches: correlations, entanglement and quantum effects

V Alba, B Bertini, M Fagotti, L Piroli… - Journal of Statistical …, 2021 - iopscience.iop.org
We give a pedagogical introduction to the generalized hydrodynamic approach to
inhomogeneous quenches in integrable many-body quantum systems. We review recent …

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 …

Magnetic excitations in the one-dimensional Heisenberg–Ising model with external fields and their experimental realizations

J Yang, X Wang, J Wu - Journal of Physics A: Mathematical and …, 2023 - iopscience.iop.org
The one dimensional (1D) spin-1/2 Heisenberg–Ising model, a prototype quantum many-
body system, has been intensively studied for many years. In this review, after a short …

Time-dependent impurity in ultracold fermions: Orthogonality catastrophe and beyond

M Knap, A Shashi, Y Nishida, A Imambekov… - Physical Review X, 2012 - APS
The recent experimental realization of strongly imbalanced mixtures of ultracold atoms
opens new possibilities for studying impurity dynamics in a controlled setting. In this paper …

Sine-Gordon model from coupled condensates: A generalized hydrodynamics viewpoint

A Bastianello - Physical Review B, 2024 - APS
The sine-Gordon model captures the low-energy effective dynamics of a wealth of one-
dimensional quantum systems, stimulating the experimental efforts in building a versatile …

One-particle density matrix and momentum distribution of the out-of-equilibrium one-dimensional Tonks-Girardeau gas: Analytical results at large

S Scopa, P Ruggiero, P Calabrese, J Dubail - Physical Review A, 2023 - APS
In one-dimensional (1D) quantum gases, the momentum distribution (MD) of the atoms is a
standard experimental observable, routinely measured in various experimental setups. The …

Observation of Complex Bound States in the Spin- Heisenberg Chain <?format ?>Using Local Quantum Quenches

M Ganahl, E Rabel, FHL Essler, HG Evertz - Physical review letters, 2012 - APS
We consider the nonequilibrium evolution in the spin-1/2 XXZ Heisenberg chain for fixed
magnetization after a local quantum quench. This model is equivalent to interacting spinless …

Integrability breaking and bound states in Google's decorated XXZ circuits

A Hudomal, R Smith, A Hallam, Z Papić - PRX Quantum, 2024 - APS
Recent quantum simulation by Google [Nature 612, 240 (2022)] has demonstrated the
formation of bound states of interacting photons in a quantum-circuit version of the XXZ spin …

A form factor approach to the asymptotic behavior of correlation functions in critical models

N Kitanine, KK Kozlowski, JM Maillet… - Journal of Statistical …, 2011 - iopscience.iop.org
We propose a form factor approach for the computation of the large distance asymptotic
behavior of correlation functions in quantum critical (integrable) models. In the large …