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Nonequilibrium dynamical mean-field theory: an auxiliary quantum master equation approach
Enrico Arrigoni1, Michael Knap, Wolfgang von der Linden
1Institute of Theoretical and Computational Physics, Graz University of Technology, 8010 Graz, Austria. arrigoni@tugraz.at
Physical Review Letters
|March 12, 2013
Summary
We present a new method using dynamical mean-field theory (DMFT) to calculate electronic properties of quantum systems out of equilibrium. This approach extends exact diagonalization to nonequilibrium situations, enabling study of complex systems like the Hubbard model.
Area of Science:
- Condensed Matter Physics
- Quantum Chemistry
- Materials Science
Background:
- Strongly correlated quantum systems are crucial in condensed matter physics.
- Understanding these systems out of equilibrium presents significant theoretical challenges.
- Existing methods often struggle with the complexity of nonequilibrium steady states.
Purpose of the Study:
- To develop a versatile computational method for electronic steady-state properties.
- To extend dynamical mean-field theory (DMFT) to nonequilibrium scenarios.
- To provide a robust framework for studying strongly correlated extended quantum systems.
Main Methods:
- The method employs dynamical mean-field theory (DMFT).
- The system is mapped to an auxiliary nonequilibrium impurity problem in a Markovian environment.
- Steady-state Green's functions are solved via full diagonalization of the Lindblad equation.
Main Results:
- A novel, versatile method for computing nonequilibrium steady-state properties is introduced.
- The approach is a significant extension of exact-diagonalization-based DMFT to nonequilibrium.
- First application to a Hubbard layer shows results for steady-state current and density of states.
Conclusions:
- The developed method offers a powerful tool for investigating driven quantum systems.
- It enables accurate computation of electronic properties in challenging nonequilibrium regimes.
- This work paves the way for deeper understanding of correlated electron phenomena.
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