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Transport in anisotropic model systems analyzed by a correlated projection superoperator technique
Hendrik Weimer1, Mathias Michel, Jochen Gemmer
1Institute of Theoretical Physics I, University of Stuttgart, Pfaffenwaldring 57, D-70550 Stuttgart, Germany. hweimer@itpl.uni-stuttgart.de
Summary
This study uses the time-convolutionless (TCL) method to analyze quantum transport in a 3D anisotropic model. The research reveals distinct ballistic and normal transport behaviors depending on system partitioning.
Area of Science:
- Quantum mechanics
- Condensed matter physics
- Statistical mechanics
Background:
- Investigating quantum transport phenomena is crucial for understanding complex quantum systems.
- The time-convolutionless (TCL) method offers a powerful approach for deriving quantum master equations.
Purpose of the Study:
- To analyze the transport behavior of a three-dimensional anisotropic quantum model system using the TCL method.
- To explore how different system partitions influence transport characteristics.
Main Methods:
- Application of the correlated projection operator within the time-convolutionless (TCL) method.
- Analysis of a quantum model comprising Heisenberg-coupled two-level systems and weak random interactions.
- Numerical solution of the full time-dependent Schrödinger equation for validation.
Main Results:
- Ballistic transport behavior was observed along the chains of coupled two-level systems.
- Normal transport was identified in the direction perpendicular to the chains.
- The findings were consistent with numerical simulations of the quantum system's dynamics.
Conclusions:
- The TCL method effectively describes quantum transport in anisotropic systems.
- System partitioning significantly impacts observed transport properties, leading to anisotropic behavior.
- The study validates the TCL approach for predicting quantum transport phenomena.
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