40 citations · 41 across the 9 of their papers we have counts for
10 papers
Fractional Hall Conductance of Laughlin States from a Topological Index
Sven Bachmann, Severin Schraven, Jacob Shapiro +1
We provide a rigorous Laughlin-pump argument that establishes the fractional quantization of the Hall conductance directly from the Laughlin state as a topological index. Our proof…
Mermin-Wagner theorems for quantum systems with multipole symmetries
Timo Feistl, Severin Schraven, Simone Warzel
We prove Mermin-Wagner-type theorems for quantum lattice systems in the presence of multipole symmetries. These theorems show that the presence of higher-order symmetries protects…
Fractional Quantum Hall States: Infinite Matrix Product Representation and its Implications
Severin Schraven, Simone Warzel
We present a novel matrix product representation of the Laughlin and related fractional quantum Hall wavefunctions based on a rigorous version of the correlators of a chiral quantu…
Two-sided Lieb-Thirring bounds
Sven Bachmann, Richard Froese, Severin Schraven
We prove upper and lower bounds for the number of eigenvalues of semi-bounded Schrödinger operators in all spatial dimensions. As a corollary, we obtain two-sided estimates for the…
Counting eigenvalues of Schrödinger operators using the landscape function
Sven Bachmann, Richard Froese, Severin Schraven
We prove an upper and a lower bound on the rank of the spectral projections of the Schrödinger operator in terms of the volume of the sublevel sets of an effective potentia…
Local to global principle for higher moments over function fields
Andy Hsiao, Junhong Ma Blackmer, Severin Schraven +1
We establish a local to global principle for higher moments over holomorphy rings of global function fields and use it to compute the higher moments of rectangular unimodular matri…
Local to global principle over number fields for higher moments
Giacomo Micheli, Severin Schraven, Simran Tinani +1
The local to global principle for densities is a very convenient tool proposed by Poonen and Stoll to compute the density of a given subset of the integers. In this paper we provid…
Bogoliubov Theory for Trapped Bosons in the Gross-Pitaevskii Regime
Christian Brennecke, Benjamin Schlein, Severin Schraven
We consider systems of bosons in , trapped by an external potential. The interaction is repulsive and has a scattering length of the order (Gross-Pitaevs…
Bose-Einstein Condensation with Optimal Rate for Trapped Bosons in the Gross-Pitaevskii Regime
Christian Brennecke, Benjamin Schlein, Severin Schraven
We consider a Bose gas consisting of particles in , trapped by an external field and interacting through a two-body potential with scattering length of order $N^{…
Local to global principle for expected values
Giacomo Micheli, Severin Schraven, Violetta Weger
This paper constructs a new local to global principle for expected values over free -modules of finite rank. In our strategy we use the same philosophy as Ekedhal's Sie…