140 citations · 1.1k across the 59 of their papers we have counts for
42 papers · 1 filter
Canonical Typicality For Other Ensembles Than Micro-Canonical
Stefan Teufel, Roderich Tumulka, Cornelia Vogel
We generalize Lévy's lemma, a concentration-of-measure result for the uniform probability distribution on high-dimensional spheres, to a much more general class of measures, so-cal…
Typical Macroscopic Long-Time Behavior for Random Hamiltonians
Stefan Teufel, Roderich Tumulka, Cornelia Vogel
We consider a closed macroscopic quantum system in a pure state evolving unitarily and take for granted that different macro states correspond to mutually orthogonal subspace…
From orbital magnetism to bulk-edge correspondence
Horia D. Cornean, Massimo Moscolari, Stefan Teufel
By extending the gauge covariant magnetic perturbation theory to operators defined on half-planes, we prove that for random ergodic magnetic Schrödinger operators, the zero-te…
Local stability of ground states in locally gapped and weakly interacting quantum spin systems
Joscha Henheik, Stefan Teufel, Tom Wessel
Based on a result by Yarotsky (J. Stat. Phys. 118, 2005), we prove that localized but otherwise arbitrary perturbations of weakly interacting quantum spin systems with uniformly ga…
Adiabatic theorem in the thermodynamic limit: Systems with a gap in the bulk
Joscha Henheik, Stefan Teufel
We prove a generalised super-adiabatic theorem for extended fermionic systems assuming a spectral gap only in the bulk. More precisely, we assume that the infinite system has a uni…
Adiabatic theorem in the thermodynamic limit: Systems with a uniform gap
Joscha Henheik, Stefan Teufel
We show that recent results on adiabatic theory for interacting gapped many-body systems on finite lattices remain valid in the thermodynamic limit. More precisely, we prove a gene…
A new approach to transport coefficients in the quantum spin Hall effect
Giovanna Marcelli, Gianluca Panati, Stefan Teufel
We investigate some foundational issues in the quantum theory of spin transport, in the general case when the unperturbed Hamiltonian operator does not commute with the spin…
Justifying Kubo's formula for gapped systems at zero temperature: a brief review and some new results
Joscha Henheik, Stefan Teufel
We first review the problem of a rigorous justification of Kubo's formula for transport coefficients in gapped extended Hamiltonian quantum systems at zero temperature. In particul…
Existence of Schrodinger Evolution with Absorbing Boundary Condition
Lawrence Frolov, Stefan Teufel, Roderich Tumulka
Consider a non-relativistic quantum particle with wave function inside a region , and suppose that detectors are placed along the boundary . The…
Interior-Boundary Conditions for Many-Body Dirac Operators and Codimension-1 Boundaries
Julian Schmidt, Stefan Teufel, Roderich Tumulka
We are dealing with boundary conditions for Dirac-type operators, i.e., first order differential operators with matrix-valued coefficients, including in particular physical many-bo…
Derivation of the 1d Gross-Pitaevskii equation from the 3d quantum many-body dynamics of strongly confined bosons
Lea Boßmann, Stefan Teufel
We consider the dynamics of interacting bosons initially forming a Bose-Einstein condensate. Due to an external trapping potential, the bosons are strongly confined in two dime…
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…
Non-equilibrium almost-stationary states and linear response for gapped quantum systems
Stefan Teufel
We prove the validity of linear response theory at zero temperature for perturbations of gapped Hamiltonians describing interacting fermions on a lattice. As an essential innovatio…
Adiabatic currents for interacting electrons on a lattice
Domenico Monaco, Stefan Teufel
We prove an adiabatic theorem for general densities of observables that are sums of local terms in finite systems of interacting fermions, without periodicity assumptions on the Ha…
Particle Creation at a Point Source by Means of Interior-Boundary Conditions
Julian Schmidt, Jonas Lampart, Stefan Teufel +1
We consider a way of defining quantum Hamiltonians involving particle creation and annihilation based on an interior-boundary condition (IBC) on the wave function, where the wave f…
Optimal decay of Wannier functions in Chern and Quantum Hall insulators
D. Monaco, G. Panati, A. Pisante +1
We investigate the localization properties of independent electrons in a periodic background, possibly including a periodic magnetic field, as e.g. in Chern insulators and in Quant…
Wannier functions and Z_2 invariants in time-reversal symmetric topological insulators
Horia D. Cornean, Domenico Monaco, Stefan Teufel
We provide a constructive proof of exponentially localized Wannier functions and related Bloch frames in 1- and 2-dimensional time-reversal symmetric (TRS) topological insulators.…
The NLS limit for bosons in a quantum waveguide
Johannes von Keler, Stefan Teufel
We consider a system of bosons confined to a thin waveguide, i.e.\ to a region of space within an -tube around a curve in . We show that when taking…
Generalised Quantum Waveguides
Stefan Haag, Jonas Lampart, Stefan Teufel
We study general quantum waveguides and establish explicit effective Hamiltonians for the Laplacian on these spaces. A conventional quantum waveguide is an -tubular ne…
The adiabatic limit of Schrödinger operators on fibre bundles
Jonas Lampart, Stefan Teufel
We consider Schrödinger operators on a fibre bundle with compact fibres and a metric that blows up directions perpend…
Peierls substitution for magnetic Bloch bands
Silvia Freund, Stefan Teufel
We consider the Schrödinger operator in two dimensions with a periodic potential and a strong constant magnetic field perturbed by slowly varying non-periodic scalar and vector pot…
Semiclassics for particles with spin via a Wigner-Weyl-type calculus
Omri Gat, Max Lein, Stefan Teufel
We show how to relate the full quantum dynamics of a spin-1/2 particle on R^d to a classical Hamiltonian dynamics on the enlarged phase space R^d x S^2 up to errors of second order…
Non-adiabatic transitions in a massless scalar field
Johannes von Keler, Stefan Teufel
We consider the dynamics of a massless scalar field with time-dependent sources in the adiabatic limit. This is an example of an adiabatic problem without spectral gap. The main go…
Orbital polarization and magnetization for independent particles in disordered media
Hermann Schulz-Baldes, Stefan Teufel
Formulas for the contribution of the conduction electrons to the polarization and magnetization are derived for disordered systems and within a one-particle framework. These result…