Quenching the Anisotropic Heisenberg Chain: Exact Solution and Generalized Gibbs Ensemble Predictions
Abstract
We study quenches in integrable spin-1/2 chains in which we evolve the ground state of the antiferromagnetic Ising model with the anisotropic Heisenberg Hamiltonian. For this nontrivially interacting situation, an application of the first-principles-based quench action method allows us to give an exact description of the postquench steady state in the thermodynamic limit. We show that a generalized Gibbs ensemble, implemented using all known local conserved charges, fails to reproduce the exact quench action steady state and to correctly predict postquench equilibrium expectation values of physical observables. This is supported by numerical linked-cluster calculations within the diagonal ensemble in the thermodynamic limit.
Keywords
Cite
@article{arxiv.1405.0172,
title = {Quenching the Anisotropic Heisenberg Chain: Exact Solution and Generalized Gibbs Ensemble Predictions},
author = {Bram Wouters and Jacopo De Nardis and Michael Brockmann and Davide Fioretto and Marcos Rigol and Jean-Sébastien Caux},
journal= {arXiv preprint arXiv:1405.0172},
year = {2014}
}
Comments
14 pages, 3 figures, including supplementary material [from v3: figures updated and corrected, author added]