Abstract
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 κ is also calculated in the low- and high-temperature regimes. It is shown that κ decays as κ∼T−2 at high temperatures.