4 papers
Uniform-in-temperature locality estimates for weakly interacting quantum systems
Arka Adhikari, Joscha Henheik, Marius Lemm +1
The locality of thermal quantum states has emerged as a key input for applications to thermalization, response theory, and efficient simulability. Locality is either captured by th…
Enhanced Lieb-Robinson bounds for commuting long-range interactions
Marius Lemm, Tom Wessel
Recent works have revealed the intricate effect of long-range interactions on information transport in quantum many-body systems: In spatial dimensions, interactions decaying a…
Gaussian filters in quantum lattice systems: Applications to spectral flow, local perturbations, clustering, and the quantum Hall effect
Sven Bachmann, Zhiqian, Du +2
We consider the locality and spectral properties of the smearing \[ Ï_f(A) = \int_{-\infty}^\infty dt \, f(t) \, Ï_t(A) \] when applied to the dynamics of quantum spin sys…
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…