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arXiv · 1302.4879

Burnett coefficients in quantum many-body systems

Robin Steinigeweg·Tomaž Prosen
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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.

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Robin Steinigeweg, Tomaž Prosen. 2013-05-31. Burnett coefficients in quantum many-body systems. https://doi.org/10.1103/physreve.87.050103

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