Quantum Heat Transport: Perturbation Theory in Liouville Space
arXiv:cond-mat/0507642 · doi:10.1016/j.physe.2005.05.010
Abstract
We consider chains consisting of several identical subsystems weakly coupled by various types of next neighbor interactions. At both ends the chain is coupled to a respective heat bath with different temperature modeled by a Lindblad formalism. The temperature gradient introduced by this environment is then treated as an external perturbation. We propose a method to calculate the heat current and the local temperature profile of the resulting stationary state as well as the heat conductivity in such systems. This method is similar to Kubo techniques used e.g. for electrical transport but extended here to the Liouville space.
arXiv comment6 pages, 5 figures, accepted for publication in Physica E
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Cited by in corpus (5)
- Transport in open spin chains: A Monte Carlo wave-function approach
- Limited validity of the Kubo formula for thermal conduction in modular quantum systems
- Quantum Mechanical Heat Transport in Disordered Harmonic Chains
- Microscopic Quantum Mechanical Foundation of Fourier's Law
- Application of the Hilbert Space Average Method on Heat Conduction Models