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TT: Fachverband Tiefe Temperaturen

TT 20: Correlated Electrons: (General) Theory 1

TT 20.2: Vortrag

Dienstag, 24. März 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.