20 citations · 72 across the 28 of their papers we have counts for
7 papers · 1 filter
Cusp Universality for Correlated Random Matrices
László Erdős, Joscha Henheik, Volodymyr Riabov
For correlated real symmetric or complex Hermitian random matrices, we prove that the local eigenvalue statistics at any cusp singularity are universal. Since the density of states…
Multi-band superconductors have enhanced critical temperatures
Joscha Henheik, Edwin Langmann, Asbjørn Bækgaard Lauritsen
We introduce a multi-band BCS free energy functional and prove that for a multi-band superconductor the effect of inter-band coupling can only increase the critical temperature, ir…
Response theory for locally gapped systems
Joscha Henheik, Tom Wessel
We introduce a notion of a \emph{local gap} for interacting many-body quantum lattice systems and prove the validity of response theory and Kubo's formula for localized perturbatio…
Loschmidt Echo for Deformed Wigner Matrices
László Erdős, Joscha Henheik, Oleksii Kolupaiev
We consider two Hamiltonians that are close to each other, , and analyze the time-decay of the corresponding Loschmidt echo $\mathfrak{M}(t) := |\langle ψ_0, \mat…
Eigenvector decorrelation for random matrices
Giorgio Cipolloni, László Erdős, Joscha Henheik +1
We study the sensitivity of the eigenvectors of random matrices, showing that even small perturbations make the eigenvectors almost orthogonal. More precisely, we consider two defo…
How a Space-Time Singularity Helps Remove the Ultraviolet Divergence Problem
Joscha Henheik, Bipul Poudyal, Roderich Tumulka
Particle creation terms in quantum Hamiltonians are usually ultraviolet divergent and thus mathematically ill defined. A rather novel way of solving this problem is based on imposi…
Out-of-time-ordered correlators for Wigner matrices
Giorgio Cipolloni, László Erdős, Joscha Henheik
We consider the time evolution of the out-of-time-ordered correlator (OTOC) of two general observables and in a mean field chaotic quantum system described by a random Wign…