34 citations · 223 across the 28 of their papers we have counts for
32 papers
A quasi-linear Schr{ö}dinger equation for nucleons : existence, uniqueness and asymptotic behavior
Meriem Bahhi, Jonas Lampart, Simona Rota Nodari
We study a quasi-linear Schr{ö}dinger-type equation arising in the description of particle dynamics within atomic nuclei. Under suitable assumptions on the model parameters, we est…
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 numerical study of stability for solitary waves of a quasi-linear Schr{ö}dinger equation
Meriem Bahhi, Jonas Lampart, Christian Klein +1
We discuss the (in)stability of solitary waves for a quasi-linear Schr{ö}dinger equation. The equation contains a quasi-linear term, responsible for a saturation effect, as well as…
Dynamics and equilibrium states of infinite systems of lattice bosons
Andreas Deuchert, Jonas Lampart, Marius Lemm
We consider the dynamics of systems of lattice bosons with infinitely many degrees of freedom. We show that their dynamics defines a group of automorphisms on a --algebra intr…
Ultraviolet Renormalization of Spin Boson Models I. Normal and 2-Nilpotent Interactions
Benjamin Hinrichs, Jonas Lampart, Javier Valentín Martín
We study the ultraviolet problem for models of a finite-dimensional quantum mechanical system linearly coupled to a bosonic quantum field, such as the (many-)spin boson model or it…
Validity of the Fröhlich model for a mobile impurity in a Bose-Einstein condensate
Jonas Lampart, Arnaud Triay
We analyze the many-body Hamiltonian describing a mobile impurity immersed in a Bose-Einstein condensate (BEC). Using exact unitary transformations and rigorous error estimates, we…
Equality of magnetization and edge current for interacting lattice fermions at positive temperature
Jonas Lampart, Massimo Moscolari, Stefan Teufel +1
We prove that the magnetization is equal to the edge current in the thermodynamic limit for a large class of models of lattice fermions with finite-range interactions satisfying lo…
The excitation spectrum of a Bose gas with an impurity in the Gross-Pitaevskii regime
Jonas Lampart, Arnaud Triay
We study a dilute system of interacting bosons coupled to an impurity particle via a pair potential in the Gross--Pitaevskii regime. We derive an expansion of the ground state…
A Lower Bound on the Critical Momentum of an Impurity in a Bose-Einstein Condensate
Benjamin Hinrichs, Jonas Lampart
In the Bogoliubov-Fröhlich model, we prove that an impurity immersed in a Bose-Einstein condensate forms a stable quasi-particle when the total momentum is less than its mass times…
Renormalized Bogoliubov Theory for the Nelson Model
Marco Falconi, Jonas Lampart, Nikolai Leopold +1
We consider the time evolution of the renormalized Nelson model, which describes bosons linearly coupled to a quantized scalar field, in the mean-field limit of many particles…
On the global minimum of the energy-momentum relation for the polaron
Jonas Lampart, David Mitrouskas, Krzysztof Myśliwy
For the Fröhlich model of the large polaron, we prove that the ground state energy as a function of the total momentum has a unique global minimum at momentum zero. This implies th…
Hamiltonians for polaron models with subcritical ultraviolet singularities
Jonas Lampart
We treat the ultraviolet problem for polaron-type models in nonrelativistic quantum field theory. Assuming that the dispersion relations of particles and the field have the same gr…
The Dirac-Klein-Gordon system in the strong coupling limit
Jonas Lampart, Loïc Le Treust, Simona Rota Nodari +1
We study the Dirac equation coupled to scalar and vector Klein-Gordon fields in the limit of strong coupling and large masses of the fields. We prove convergence of the solutions t…
The Nelson Model on Static Spacetimes
Janik Kruse, Jonas Lampart
The Nelson model describes the interaction of nonrelativistic quantum particles with a relativistic quantum field of scalar bosons. Nelson rigorously demonstrated in 1964 the exist…
An abstract framework for interior-boundary conditions
Tim Binz, Jonas Lampart
In a configuration space whose boundary can be identified with a subset of its interior, a boundary condition can relate the behaviour of a function on the boundary and in the inte…
Dynamics of a tracer particle interacting with excitations of a Bose-Einstein condensate
Jonas Lampart, Peter Pickl
We consider the quantum dynamics of a large number of interacting bosons coupled a tracer particle, i.e. a particle of another kind, on a torus. We assume that in the initial s…
The resolvent of the Nelson Hamiltonian improves positivity
Jonas Lampart
We prove that the resolvent of the renormalised Nelson Hamiltonian at fixed total momentum P improves positivity in the (momentum) Fock-representation, for every P. Our argument is…
The Renormalised Bogoliubov-Fröhlich Hamiltonian
Jonas Lampart
The Bogoliubov-Fröhlich Hamiltonian models the interaction of an impurity with the excitations of a Bose-Einstein condensate. It has been observed that the dependence of the ground…
A remark on the attainable set of the Schrödinger equation
Jonas Lampart
We discuss the set of wavefunctions that can be obtained from a given initial condition by applying the flow of the Schrödinger operator and varying the…
Canonical quantization for quantum plasmonics with finite nanostructures
V. Dorier, J. Lampart, S. Guérin +1
The quantization of plasmons has been analyzed mostly under the assumption of an infinite-sized bulk medium interacting with the electromagnetic field. We reformulate it for finite…
A nonrelativistic quantum field theory with point interactions in three dimensions
Jonas Lampart
We construct a Hamiltonian for a quantum-mechanical model of nonrelativistic particles in three dimensions interacting via the creation and annihilation of a second type of nonrela…
On Nelson-type Hamiltonians and abstract boundary conditions
Jonas Lampart, Julian Schmidt
We construct Hamiltonians for systems of nonrelativistic particles linearly coupled to massive scalar bosons using abstract boundary conditions. The construction yields an explicit…
Quantum waveguides with magnetic fields
Stefan Haag, Jonas Lampart, Stefan Teufel
We study generalised quantum waveguides in the presence of moderate and strong external magnetic fields. Applying recent results on the adiabatic limit of the connection Laplacian…
The adiabatic limit of the connection Laplacian
Stefan Haag, Jonas Lampart
We study the behaviour of Laplace-type operators H on a complex vector bundle E M in the adiabatic limit of the base space. This space is a fibre bundle M $\rightarro…