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Add to Calendar 11/30/2017 12:30 pm 11/30/2017 America/Chicago Mathematical and Theoretical Physics Seminar: "Eigenstate Thermalization and Locality and Random Matrices" DESCRIPTION:

Eigenstate Thermalization Hypothesis (ETH) is a set of properties which explain the emergence of equilibrium statistical mechanics for an isolated quantum chaotic system. It is believed to be a characteristic feature, and even used as a working definition, of quantum chaos. At the technical level ETH can be understood as an ansatz for the matrix elements of certain observables. We start by showing how ETH can help define a novel order parameter which would distinguish chaotic and non-chaotic phases. We then proceed by constraining the ETH ansatz in case of the systems with local interactions. For the systems exhibiting diffusive transport we find a new stringent bound limiting applicability of Random Matrix Theory to describe the observables satisfying the ETH.

 

\n\nSPEAKER:

Anatoly Dymarsky, University of Kentucky

222 Loomis

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Mathematical and Theoretical Physics Seminar: "Eigenstate Thermalization and Locality and Random Matrices"

Speaker Anatoly Dymarsky, University of Kentucky
Date: 11/30/2017
Time: 12:30 p.m.
Location:

222 Loomis

Sponsor:

Physics and Mathematics

Event Type: Seminar/Symposium
 

Eigenstate Thermalization Hypothesis (ETH) is a set of properties which explain the emergence of equilibrium statistical mechanics for an isolated quantum chaotic system. It is believed to be a characteristic feature, and even used as a working definition, of quantum chaos. At the technical level ETH can be understood as an ansatz for the matrix elements of certain observables. We start by showing how ETH can help define a novel order parameter which would distinguish chaotic and non-chaotic phases. We then proceed by constraining the ETH ansatz in case of the systems with local interactions. For the systems exhibiting diffusive transport we find a new stringent bound limiting applicability of Random Matrix Theory to describe the observables satisfying the ETH.

 

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