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 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) -Dm2 t3, with the proportionality constant being simply a square of the Drude weight Dm. The results are corroborated with additional studies in non-interacting quantum chains and in the classical limit of large-spin chains.
0