Physics – Quantum Physics
Scientific paper
2007-03-07
Phys. Rev. E 76, 031115 (2007)
Physics
Quantum Physics
7 pages, 2 figures
Scientific paper
10.1103/PhysRevE.76.031115
We investigate heat transport in a spin-1/2 Heisenberg chain, coupled locally to independent thermal baths of different temperature. The analysis is carried out within the framework of the theory of open systems by means of appropriate quantum master equations. The standard microscopic derivation of the weak-coupling Lindblad equation in the secular approximation is considered, and shown to be inadequate for the description of stationary nonequilibrium properties like a non-vanishing energy current. Furthermore, we derive an alternative master equation that is capable to describe a stationary energy current and, at the same time, leads to a completely positive dynamical map. This paves the way for efficient numerical investigations of heat transport in larger systems based on Monte Carlo wave function techniques.
Breuer Heinz-Peter
Gemmer Jochen
Henrich Markus J.
Michel Mathias
Wichterich Hannu
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