title: Burnett coefficients in quantum many-body systems.
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)~t, for nonintegrable 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)~-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 noninteracting quantum chains and in the classical limit of large-spin chains.
authors.affiliation: Institute for Theoretical Physics, Technical University Braunschweig, D-38106 Braunschweig, Germany.
authors.forename: R
authors.initials: R
authors.lastname: Steinigeweg
authors.forename: T
authors.initials: T
authors.lastname: Prosen
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D004058:Diffusion; D008956:Models, Chemical; D011789:Quantum Theory