Vorträge in der Woche 27.01.2025 bis 02.02.2025
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Montag, 27.01.2025: Vortrag in der Reihe "Mathematiker:innen im Beruf"
NN
In der Vortragsreihe "Mathematiker:innen im Beruf", die sich vor allem an die Studierenden des Fachbereichs Mathematik richtet, berichten Mathematiker über ihren Werdegang, ihr jetziges Arbeitsfeld und wie ihnen ihr Mathematikstudium dabei zu gute kommt.
| Uhrzeit: | 16:00 - 16:45 |
| Ort: | N14 |
| Gruppe: | Kolloquium |
| Einladender: | Fachschaft Mathematik + Studiendekan |
Donnerstag, 30.01.2025: Macroscopic Thermalization for Highly Degenerate Hamiltonians
Cornelia Vogel (Tübingen)
An isolated macroscopic quantum system thermalizes if its initial state eventually reaches a suitable thermal equilibrium subspace and stays there for most of the time. For non-degenerate Hamiltonians, a sufficient condition for the thermalization of every initial state is an appropriate version of the eigenstate thermalization hypothesis (ETH). Shiraishi and Tasaki recently proved the ETH for a perturbation of the Hamiltonian of a large number of free fermions on a one-dimensional lattice. The perturbation is needed to remove the high degeneracies of the Hamiltonian. We point out that also for degenerate Hamlitonians, all initial states thermalize if the ETH holds for every eigenbasis, and we show that this is the case for free fermions in 1d. Additionally, we develop another strategy of proving thermalization by adding small generic perturbations to Hamiltonians for which it can be shown that one eigenbasis (but not necessarily all) fufills the ETH. This strategy applies to arbitrarily small generic perturbations of the Hamiltonian of free fermions in arbitrary spatial dimensions. This is joint work with Barbara Roos, Stefan Teufel and Roderich Tumulka.
| Uhrzeit: | 14:30 |
| Ort: | C4H33 |
| Gruppe: | Oberseminar Mathematical Physics |
| Einladender: | Keppeler, Lemm, Pickl, Teufel, Tumulka |