Publications (40)
Higher order corrections to the mean-field description of the dynamics of interacting bosons
Lea BoÃmann, NataÅ¡a PavloviÄ, Peter Pickl +1
In this paper, we introduce a novel method for deriving higher order corrections to the mean-field description of the dynamics of interacting bosons. More precisely, we consider th…
Effective Dynamics for the Bose Polaron in the Large-Volume Mean-Field Limit
Jonas Lampart, Peter Pickl, Siegfried Spruck
We consider the dynamics of the Bose polaron system, a dense quantum gas consisting of bosons evolving in in the presence of an impurity particle. The system is…
A mean field limit for the Hamiltonian Vlasov system
Robert A. Neiss, Peter Pickl
The derivation of effective equations for interacting many body systems has seen a lot of progress in the recent years. While dealing with classical systems, singular potentials ar…
Ecological feedback in quorum-sensing microbial populations can induce heterogeneous production of autoinducers
Matthias Bauer, Johannes Knebel, Matthias Lechner +2
Autoinducers are small signaling molecules that mediate intercellular communication in microbial populations and trigger coordinated gene expression via "quorum sensing". Elucidati…
Derivation of the Time Dependent Gross-Pitaevskii Equation in Two Dimensions
Maximilian Jeblick, Nikolai Leopold, Peter Pickl
We present a microscopic derivation of the defocusing two-dimensional cubic nonlinear Schrödinger equation as a mean field equation starting from an interacting -particle syste…
Existence of Spontaneous Pair Creation
Peter Pickl
A prove of the existence of spontaneous pair creation as an external field problem in second quantized Dirac theory. PHD Thesis