Efficient and stable algorithms for the calculation of spectral quantities and correlation
functions are some of the key tools in computational condensed-matter physics. In this paper …

This article reviews quantum cluster theories, a set of approximations for infinite lattice
models which treat correlations within the cluster explicitly, and correlations at longer length …

Topological phases, like the Haldane phase in spin-1 chains, defy characterization through
local order parameters. Instead, nonlocal string order parameters can be employed to reveal …

We propose to use Ramsey interferometry and single-site addressability, available in
synthetic matter such as cold atoms or trapped ions, to measure real-space and time …

We study trace estimators for equilibrium thermodynamic observables that rely on the idea of
typicality and derivatives thereof such as the finite-temperature Lanczos method (FTLM). As …

In these lecture notes, we present a pedagogical review of a number of related numerically
exact approaches to quantum many‐body problems. In particular, we focus on methods …

Dynamical mean field theory (DMFT), combined with finite-temperature exact
diagonalization, is one of the methods used to describe electronic properties of strongly …

We present an efficient method to solve the impurity Hamiltonians involved in dynamical
mean-field theory at low but finite temperature based on the extension of the Lanczos …

Over the last decade, the spin-1/2 Heisenberg antiferromagnet on the square-kagome (SK)
lattice has attracted growing attention as a model system of highly frustrated quantum …

Quantum spin liquids are long-range entangled states of matter with emergent gauge fields
and fractionalized excitations. While candidate materials, such as the Kitaev honeycomb …