Transport in Out-of-Equilibrium Chains: Exact Profiles of Charges and Currents

B Bertini, M Collura, J De Nardis, M Fagotti - Physical review letters, 2016 - APS
We consider the nonequilibrium time evolution of piecewise homogeneous states in the XXZ
spin-1/2 chain, a paradigmatic example of an interacting integrable model. The initial state …

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 …

Lecture notes on generalised hydrodynamics

B Doyon - SciPost Physics Lecture Notes, 2020 - scipost.org
These are lecture notes for a series of lectures given at the Les Houches Summer School on
Integrability in Atomic and Condensed Matter Physics, 30 July to 24 August 2018. The same …

Analytic solution of the domain-wall nonequilibrium stationary state

M Collura, A De Luca, J Viti - Physical Review B, 2018 - APS
We consider the out-of-equilibrium dynamics generated by joining two domains with
arbitrary opposite magnetizations. We study the stationary state which emerges by the …

Scaling of fronts and entanglement spreading during a domain wall melting

S Scopa, D Karevski - The European Physical Journal Special Topics, 2023 - Springer
We revisit the out-of-equilibrium physics arising during the unitary evolution of a one-
dimensional XXZ spin chain initially prepared in a domain wall state| ψ 0⟩=|⋯↑↑↓↓⋯⟩ …

Transport in out-of-equilibrium XXZ chains: Nonballistic behavior and correlation functions

L Piroli, J De Nardis, M Collura, B Bertini, M Fagotti - Physical Review B, 2017 - APS
We consider the nonequilibrium protocol where two semi-infinite gapped XXZ chains,
initially prepared in different equilibrium states, are suddenly joined together. At large times …

Dynamics of hard rods with initial domain wall state

B Doyon, H Spohn - Journal of Statistical Mechanics: Theory and …, 2017 - iopscience.iop.org
Inspired by recent results on the non-equilibrium dynamics of many-body quantum systems,
we study the classical hard rod problem in one dimension with initial domain wall condition …

Higher-order generalized hydrodynamics in one dimension: The noninteracting test

M Fagotti - Physical Review B, 2017 - APS
We derive a dynamical equation that describes the exact time evolution in generic
(inhomogeneous) noninteracting spin-chain models. Assuming quasistationarity, we …

Non-stationarity and dissipative time crystals: spectral properties and finite-size effects

C Booker, B Buča, D Jaksch - New Journal of Physics, 2020 - iopscience.iop.org
We discuss the emergence of non-stationarity in open quantum many-body systems. This
leads us to the definition of dissipative time crystals which display experimentally …

Exact hydrodynamic solution of a double domain wall melting in the spin-1/2 XXZ model

S Scopa, P Calabrese, J Dubail - SciPost Physics, 2022 - scipost.org
We investigate the non-equilibrium dynamics of a one-dimensional spin-1/2 XXZ model at
zero-temperature in the regime $|\Delta|< 1$, initially prepared in a product state with two …