47 citations · 236 across the 22 of their papers we have counts for
23 papers
Dynamics of low energy wave packets in the one-dimensional quantum Heisenberg ferromagnet
Mateusz Kwaśnicki, Marcin Napiórkowski, Sören Petrat +1
Spin wave theory plays a central role in the analysis of low-energy properties of the quantum ferromagnetic Heisenberg model. In this work, we present a first step towards a rigoro…
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…
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…
Expansion of the Many-body Quantum Gibbs State of the Bose-Hubbard Model on a Finite Graph
Zied Ammari, Shahnaz Farhat, Sören Petrat
We consider the many-body quantum Gibbs state for the Bose-Hubbard model on a finite graph at positive temperature. We scale the interaction with the inverse temperature, correspon…
A Note on the Binding Energy for Bosons in the Mean-field Limit
Lea Boßmann, Nikolai Leopold, David Mitrouskas +1
We consider a gas of N weakly interacting bosons in the ground state. Such gases exhibit Bose-Einstein condensation. The binding energy is defined as the energy it takes to remove…