This is a review of the Sachdev-Ye-Kitaev (SYK) model of compressible quantum many-
body systems without quasiparticle excitations, and its connections to various theoretical …

The progress of charge manipulation in semiconductor-based nanoscale devices opened
up a novel route to realise a flying qubit with a single electron. In the present review, we …

We use tensor network techniques to obtain high-order perturbative diagrammatic
expansions for the quantum many-body problem at very high precision. The approach is …

We introduce an efficient method to simulate the dynamics of an interacting quantum
impurity coupled to noninteracting fermionic reservoirs. Viewing the impurity as an open …

We present a numerically exact steady-state inchworm Monte Carlo method for
nonequilibrium quantum impurity models. Rather than propagating an initial state to long …

We present an efficient basis for imaginary time Green's functions based on a low-rank
decomposition of the spectral Lehmann representation. The basis functions are simply a set …

The simulation of strongly correlated quantum impurity models is a significant challenge in
modern condensed matter physics that has multiple important applications. Thus far, the …

We investigate the momentum-resolved spin and charge susceptibilities, as well as the
chemical potential and double occupancy in the two-dimensional Hubbard model as …

We propose a method to improve the computational and memory efficiency of numerical
solvers for the nonequilibrium Dyson equation in the Keldysh formalism. It is based on the …

Recent technological advancement in scanning tunneling microscopes has enabled the
measurement of spin-field and spin–spin interactions in single atomic or molecular junctions …