Dienstag, 01.07.2025: Derivation of the Effective Dynamics for the Bose Polaron
Siegfried Spruck (Tübingen)
We consider the dynamics of a dense quantum gas consisting of $N$ bosons evolving in
$\mathbb{R}^3$ in the presence of an impurity particle in the mean-field scaling with initially high
density $\rho$ and large volume $\Lambda$ of the gas. In the initial state of the system almost all
bosons are in the Bose-Einstein condensate, with a few excitations. For this system we derive from
the microscopic dynamics in the limit of large densities and volumes the effective description by a
quantum field theory modelled by the Bogoliubov-Fröhlich Hamiltonian which describes a quasi-
particle, the Bose polaron.
Uhrzeit: |
14:00 |
Ort: |
C3N14 |
Gruppe: |
Promotionsvortrag |
Einladender: |
Pickl, Teufel, Tumulka |
Donnerstag, 03.07.2025: Sharp lower bound for the charged Hawking mass in the electrostatic space
Prof. Dr. Benedito Leandro Neto (Universidade de Brasilia)
We prove sharp lower bounds for the charged Hawking mass of stable surfaces in electrostatic space-times in various contexts. An upper bound for the genus of stable surfaces in the electrostatic system is provided. We also study the positivity for the charged Hawking mass of a minimal surface with index one in the electrostatic space-times. A criterion for a CMC surface in the Reissner-Nordstrom deSitter space to be stable is presented.
Uhrzeit: |
14:00 |
Ort: |
Seminarraum C4H33 and virtual via zoom, for zoom link please contact Martina Neu |
Gruppe: |
Oberseminar Geometrische Analysis, Differentialgeometrie und Relativitätstheorie |
Einladender: |
Carla Cederbaum, Gerhard Huisken, zusammen mit Jan Metzger (Potsdam) |