Towards a more fundamental understanding of eigenstate thermalization

ORAL

Abstract

The eigenstate thermalization hypothesis (ETH) connects the field of statistical physics with quantum mechanics. It suggests that an eigenstate of a quantum many-body system acts as a (micro)canonical ensemble for small local subsystems. In this presentation, we discuss how it can be understood more fundamentally by employing concepts from random matrix theory. In particular, we report on random matrix computations for the reduced density matrix of a spin system with random couplings.

*The work is funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) through Project-ID 258499086 - SFB 1170 and through the Würzburg-Dresden Cluster of Excellence on Complexity and Topology in Quantum Matter–ct.qmat Project-ID 390858490 - EXC2147.

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Publication: Tobias Helbig, Tobias Hofmann, Ronny Thomale, and Martin Greiter. Aspects of Eigenstate Thermalization. In preparation.

Presenters

  • Tobias Hofmann

    • Julius-Maximilians University of Wuerzburg
    • Julius-Maximilians-University Wuerzburg

Authors

  • Tobias Hofmann

    • Julius-Maximilians University of Wuerzburg
    • Julius-Maximilians-University Wuerzburg

  • Tobias Helbig

    • Julius-Maximilians University of Wuerzburg
    • Julius-Maximilians-University Wuerzburg

  • Ronny Thomale

    • Julius-Maximilians University of Wuerzbu
    • Julius-Maximilians University of Wuerzburg
    • Julius-Maximilians University of Wuerzbug
    • Julius-Maximilians-University Wuerzburg

  • Martin Greiter

    • Julius-Maximilians University of Wuerzburg