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Published on: June 8, 2018
Quantification of correlations in quantum many-particle systems.
Krzysztof Byczuk1, Jan Kuneš, Walter Hofstetter
1Physics Faculty, Institute of Theoretical Physics, University of Warsaw, Warszawa, Poland.
Physical Review Letters
|April 3, 2012
Summary
We present a new, unbiased method to measure quantum correlations using relative von Neumann entropy. This approach quantifies electron correlations in models like the Hubbard model and transition-metal oxides.
Area of Science:
- Quantum physics
- Condensed matter physics
- Quantum information science
Background:
- Understanding quantum correlations is crucial for many-body systems.
- Existing measures may lack unbiasedness or general applicability.
Purpose of the Study:
- Introduce a well-defined and unbiased measure for quantum many-particle correlations.
- Demonstrate the utility of this measure across different physical systems.
Main Methods:
- Utilized the relative von Neumann entropy.
- Computed entropy from the density operator of correlated and uncorrelated states.
- Employed dynamical mean-field theory for calculations.
Main Results:
- Developed a general and unbiased correlation measure.
- Quantified correlations in interacting electrons within the Hubbard model.
- Analyzed correlations in transition-metal oxides.
Conclusions:
- The proposed measure offers a robust way to assess quantum correlations.
- The method is applicable to various complex quantum systems.
- Provides insights into electron correlation strength in materials.
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