Burnett coefficients in quantum many-body systems
Statistical Mechanics
2013-06-03 v2
Abstract
The Burnett coefficient B is investigated for transport in one-dimensional quantum many-body systems. Extensive numerical computations in spin-1/2 chains suggest a linear growth with time, B(t) \sim t, for non-integrable chains exhibiting diffusive transport. For integrable spin chains in the metallic regime, on the other hand, we find a cubic growth with time, B(t) \sim -D_m^2 t^3, with the proportionality constant being simply a square of the Drude weight D_m. The results are corroborated with additional studies in non-interacting quantum chains and in the classical limit of large-spin chains.
Keywords
Cite
@article{arxiv.1302.4879,
title = {Burnett coefficients in quantum many-body systems},
author = {Robin Steinigeweg and Tomaž Prosen},
journal= {arXiv preprint arXiv:1302.4879},
year = {2013}
}
Comments
5 pages, 4 figures