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) \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.

5 pages, 4 figures

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• Thermodyamic bounds on Drude weights in terms of almost-conserved quantities
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Cited by in corpus (5)

• Finite-temperature transport in one-dimensional quantum lattice models
• Scaling of diffusion constants in the spin-1/2 XX ladder
• Hydrodynamic gauge fixing and higher order hydrodynamic expansion
• Exponential damping induced by random and realistic perturbations
• Modeling the Impact of Hamiltonian Perturbations on Expectation Value Dynamics