Regensburg 2013 – scientific programme
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TT: Fachverband Tiefe Temperaturen
TT 7: Correlated Electrons: Spin Systems, Itinerant Magnets 1
TT 7.1: Talk
Monday, March 11, 2013, 09:30–09:45, H19
Eigenstate thermalization in isolated spin-chain systems — •Robin Steinigeweg1,2, Jacek Herbrych2, and Peter Prelovšek2 — 1Institute for Theoretical Physics, Technical University Braunschweig, D-38106 Braunschweig — 2Department of Theoretical Physics, Jožef Stefan Institute, SI-1000 Ljubljana
The thermalization phenomenon and many-body quantum statistical properties are studied on the example of several observables in isolated spin-chain systems, both integrable and generic non-integrable ones. While diagonal matrix elements for non-integrable models comply with the eigenstate thermalization hypothesis, the integrable systems show evident deviations and similarity to properties of noninteracting many-fermion models. The finite-size scaling reveals that the crossover between two regimes is given by a scale closely related to the scattering length. Low-frequency off-diagonal matrix elements related to d.c. transport quantities also follow in a generic system a behavior analogous to the eigenstate thermalization hypothesis, however unrelated to the one of diagonal elements.