It was recently observed that chiral two-body interactions can be efficiently represented
using matrix factorization techniques such as the singular value decomposition. However …

The extension of ab initio quantum many-body theory to higher accuracy and larger systems
is intrinsically limited by the handling of large data objects in form of wave-function …

Background: The computational resources needed to generate the ab initio solution of the
nuclear many-body problem for increasing mass number and/or accuracy necessitates …

Ab initio calculations for nuclei and nuclear matter are limited by the computational
requirements of processing large data objects. In this work, we develop low-rank singular …

The solution of the nuclear A-body problem encounters severe limitations from the size of
many-body operators that are processed to solve the stationary Schrödinger equation …

The construction of predictive models of atomic nuclei from first principles is a challenging
(yet necessary) task towards the systematic generation of theoretical predictions (and …

We employ the unitary correlation operator method (UCOM) to construct correlated, low-
momentum matrix elements of realistic nucleon-nucleon interactions. The dominant short …

This chapter builds upon the review of lattice methods and effective field theory of the
previous chapter. We begin with a brief overview of lattice calculations using chiral effective …

We derive a separable representation of the two-body T matrix, which is exact half on shell
at all energies even when truncated to one single term. Moreover, the truncated expansion …

We introduce a new approach for solving quantum many-body systems called wave function
matching. Wave function matching transforms the interaction between particles so that the …