Logarithmic current fluctuations in non-equilibrium quantum spin chains
Statistical Mechanics
2009-01-09 v2 Strongly Correlated Electrons
Abstract
We study zero-temperature quantum spin chains which are characterized by a non-vanishing current. For the XX model starting from the initial state |... + + + - - - ...> we derive an exact expression for the variance of the total spin current. We show that asymptotically the variance exhibits an anomalously slow logarithmic growth; we also extract the sub-leading constant term. We then argue that the logarithmic growth remains valid for the XXZ model in the critical region.
Cite
@article{arxiv.0808.3514,
title = {Logarithmic current fluctuations in non-equilibrium quantum spin chains},
author = {Tibor Antal and P. L. Krapivsky and A. Rákos},
journal= {arXiv preprint arXiv:0808.3514},
year = {2009}
}
Comments
9 pages, 4 figures, minor alterations