Transport in anisotropic model systems analyzed by a correlated projection superoperator technique

TL;DR

This paper employs a correlated projection superoperator technique within the TCL method to analyze transport properties in a 3D anisotropic quantum system, revealing directional transport behaviors confirmed by numerical simulations.

Contribution

It introduces a novel application of the TCL method with correlated projections to study anisotropic quantum transport, providing analytical and numerical insights.

Findings

Ballistic transport along chains

Normal transport perpendicular to chains

Analytical results confirmed by Schrödinger equation simulations

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 Schr\"odinger equation.