Transport in anisotropic model systems analyzed by a correlated projection superoperator technique
arXiv:0801.2669 · doi:10.1103/PhysRevE.77.011118
Abstract
By using a correlated projection operator, the time-convolutionless (TCL) method to derive a quantum master equation can be utilized to investigate the transport behavior of quantum systems as well. Here, we analyze a three-dimensional anisotropic quantum model system according to this technique. The system consists of Heisenberg coupled two-level systems in one direction and weak random interactions in all other ones. Depending on the partition chosen, we obtain ballistic behavior along the chains and normal transport in the perpendicular direction. These results are perfectly confirmed by the numerical solution of the full time-dependent Schrödinger equation.
8 pages, 6 figures
References in corpus (18)
- Transport and conservation laws
- Real-time dynamics in spin-1/2 chains with adaptive time-dependent DMRG
- Magnon Heat Transport in (Sr,La)_14Cu_24O_41
- Non-Markovian generalization of the Lindblad theory of open quantum systems
- Zero-frequency transport properties of one dimensional spin-1/2 systems
- The thermal conductivity of the spin-1/2 XXZ chain at arbitrary temperature
- Non-Markovian quantum dynamics: Correlated projection superoperators and Hilbert space averaging
- Transport in Almost Integrable Models: Perturbed Heisenberg Chains
- Ergodic properties of a generic non-integrable quantum many-body system in thermodynamic limit
- Fourier's Law from Schroedinger Dynamics
- Strong Evidence of Normal Heat Conduction in a one-Dimensional Quantum System
- Fourier's Law confirmed for a class of small quantum systems
- Fourier's Law in a Quantum Spin Chain and the Onset of Quantum Chaos
- Transport anomaly in the low energy regime of spin chains
- Limited validity of the Kubo formula for thermal conduction in modular quantum systems
- Normal Transport Behavior in Finite One-Dimensional Chaotic Quantum Systems
- Heat conductivity in small quantum systems: Kubo formula in Liouville space
- Application of the Hilbert Space Average Method on Heat Conduction Models