4 papers
On the Emergence of Exponential Decay from Discrete Spectra for Friedrichs Hamiltonians
Tamim Al-Qaiwani, Sören Petrat
We study a class of Friedrichs Hamiltonians, that is, operators describing an excited state coupled to a bath through a rank-one perturbation, in the case where the bath Hamiltonia…
Ground state energy of the Bose--Hubbard model with large coordination number with a polaron-type quantum de Finetti theorem
Shahnaz Farhat, Denis Périce, Sören Petrat
We consider the ground state energy of the Bose--Hubbard model on a graph with large and homogeneous coordination number. In the limit of infinite coordination number, we prove con…
Filament Pairs, Dynamic Partitions, and Spiders for Post-Singularly Finite Entire Functions
David Pfrang, Sören Petrat, Bernhard Reinke +1
Filaments are a natural generalization of the well-known concept of dynamic rays in complex dynamics. In this article we investigate which periodic or preperiodic filaments land to…
Mean-Field Dynamics of the Bose-Hubbard Model in High Dimension
Shahnaz Farhat, Denis Périce, Sören Petrat
The Bose-Hubbard model effectively describes bosons on a lattice with on-site interactions and nearest-neighbour hopping, serving as a foundational framework for understanding stro…