20 citations · 46 across the 12 of their papers we have counts for
13 papers
Discontinuity of Continuum Fermion Dynamics
Oliver Siebert
We study the Heisenberg dynamics of continuum fermions in $\IR^d$ interacting through a pair potential. For a large class of nonconstant pair potentials and under suitable assumpti…
Learning Coulomb Potentials and Beyond with Free Fermions in Continuous Space
Andreas Bluhm, Marius Lemm, Tim Möbus +1
The first-principles formulation of quantum mechanics relevant for quantum chemistry and trapped quantum gases involves particles in the continuous space . We present…
On the thermodynamic limit of interacting fermions in the continuum
Oliver Siebert
We study the dynamics of non-relativistic fermions in interacting through a pair potential. Employing methods developed by Buchholz in the framework of resolvent alge…
On Lieb-Robinson bounds for a class of continuum fermions
Benjamin Hinrichs, Marius Lemm, Oliver Siebert
We consider the quantum dynamics of a many-fermion system in with an ultraviolet regularized pair interaction as previously studied in [M. Gebert, B. Nachtergaele, J.…
Non-Fock Ground States in the Translation-Invariant Nelson Model Revisited Non-Perturbatively
David Hasler, Benjamin Hinrichs, Oliver Siebert
The Nelson model, describing a quantum mechanical particle linearly coupled to a bosonic field, exhibits the infrared problem in the sense that no ground state exists at arbitrary…
Ground States for Infrared Renormalized Translation-Invariant Non-Relativistic QED
David Hasler, Oliver Siebert
We consider a translation-invariant Pauli-Fierz model describing a non-relativistic charged quantum mechanical particle interacting with the quantized electromagnetic field. The ch…
Thermal Area Law for Lattice Bosons
Marius Lemm, Oliver Siebert
A physical system is said to satisfy a thermal area law if the mutual information between two adjacent regions in the Gibbs state is controlled by the area of their boundary. Therm…
Bose-Einstein condensation on hyperbolic spaces
Marius Lemm, Oliver Siebert
A well-known conjecture in mathematical physics asserts that the interacting Bose gas exhibits Bose-Einstein condensation (BEC) in the thermodynamic limit. We consider the Bose gas…
FKN Formula and Ground State Energy for the Spin Boson Model with External Magnetic Field
David Hasler, Benjamin Hinrichs, Oliver Siebert
We consider the spin boson model with external magnetic field. We prove a path integral formula for the heat kernel, known as Feynman-Kac-Nelson (FKN) formula. We use this path int…
Correlation Bound for a One-Dimensional Continuous Long-Range Ising Model
David Hasler, Benjamin Hinrichs, Oliver Siebert
We consider a measure given as the continuum limit of a one-dimensional Ising model with long-range translationally invariant interactions. Mathematically, the measure can be descr…
On Existence of Ground States in the Spin Boson Model
David Hasler, Benjamin Hinrichs, Oliver Siebert
We show the existence of ground states in the massless spin boson model without any infrared regularization. Our proof is non-perturbative and relies on a compactness argument. It…
Ground States for translationally invariant Pauli-Fierz Models at zero Momentum
David Hasler, Oliver Siebert
We consider the translationally invariant Pauli-Fierz model describing a charged particle interacting with the electromagnetic field. We show under natural assumptions that the fib…
Thermal Ionization for Short-Range Potentials
David Hasler, Oliver Siebert
We study a concrete model of a confined particle in form of a Schrödinger operator with a compactly supported smooth potential coupled to a bosonic field at positive temperature. W…