2 research outputs found
Heat transport in an open transverse-field Ising chain
The heat conduction in an open transverse-field Ising chain is studied by
using quantization in the Fock space of operators in the weak coupling regimes,
i.e. the coupling is much smaller than the transverse field. The
non-equilibrium steady state is obtained for large size systems coupled to
Markovian baths at its ends. The ballistic transport is observed in the uniform
chain and normal diffusion in the random-exchange chain. {In addition, the
ballistic-diffusive transition is found at the intermediate disorder regime.}
The thermal conductivity is also calculated in the low and high
temperature regimes. It is shown that decays as at
high temperatures.Comment: 6 pages, 7 figure
Markovian Master Equations: A Critical Study
We derive Markovian master equations of single and interacting harmonic
systems in different scenarios, including strong internal coupling. By
comparing the dynamics resulting from the corresponding Markovian master
equations with exact numerical simulations of the evolution of the global
system, we precisely delimit their validity regimes and assess the robustness
of the assumptions usually made in the process of deriving the reduced
dynamics. The proposed method is sufficiently general to suggest that the
conclusions made here are widely applicable to a large class of settings
involving interacting chains subject to a weak interaction with an environment.Comment: 40 pages, 14 figures, final versio