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12. Dec 2023

Prethermalization for deformed Wigner matrices

Mathphys Analysis Seminar

Datum: 12. December 2023 | 16:15 – 17:15
Sprecher: Joscha Henheik, ISTA
Veranstaltungsort: Heinzel Seminar Room (I21.EG.101), Office Building West, ISTA
Sprache: Englisch

We prove that a class of weakly perturbed Hamiltonians of the form $H_\lambda = H_0 + \lambda W$, with $W$ being a Wigner matrix, exhibits prethermalization. That is, the time evolution generated by $H_\lambda$ relaxes to its ultimate thermal state via an intermediate prethermal state with a lifetime of order $\lambda^{-2}$. Moreover, we obtain a general relaxation formula, expressing the perturbed dynamics via the unperturbed dynamics and the ultimate thermal state. The proof relies on a two-resolvent law for the deformed Wigner matrix $H_\lambda$. 

Based on a joint work with L. Erdös, J. Reker, and V. Riabov. 

Weitere Informationen:

Datum:
12. December 2023
16:15 – 17:15

Sprecher:
Joscha Henheik, ISTA

Veranstaltungsort:
Heinzel Seminar Room (I21.EG.101), Office Building West, ISTA

Sprache:
Englisch

Ansprechpartner:

Birgit Oosthuizen-Noczil

Email:
birgit.oosthuizen-noczil@ist.ac.at

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