Dresden 2009 – scientific programme
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TT: Fachverband Tiefe Temperaturen
TT 20: Correlated Electrons: (General) Theory 1
TT 20.2: Talk
Tuesday, March 24, 2009, 15:45–16:00, HSZ 301
Entanglement and relative local entropies: Introducing a quantitative measure of correlations in correlated electron systems — •Krzysztof Byczuk1, Walter Hofstetter2, and Dieter Vollhardt3 — 1Institute of Theoretical Physics, University of Warsaw, ul. Hoza 69, PL-00-681 Warszawa, Poland — 2Institut fur Theoretische Physik, Johann Wolfgang Goethe-Universitaet, D-60438 Frankfurt/Main, Germany — 3Theoretical Physics III, Center for Electronic Correlations and Magnetism, Institute for Physics, University of Augsburg, D-86135 Augsburg, Germany
We employ the concept of entanglement and relative local entropies to provide a quantitative measure of the strength of correlations in interacting electronic systems. As an application we solve the Hubbard model within the dynamical mean-field theory and extract the entanglement local entropy as well as the relative local entropy, using different Hartree-Fock-like ground states as reference states. The strength of the correlations in the paramagnetic and antiferromagnetic phase, expressed by the relative entropies with respect to the Hartree-Fock solutions, is discussed.