We introduce a generic and accessible implementation of an exact diagonalization method for studying few-fermion models. Our aim is to provide a testbed for the newcomers to the field as well as a stepping stone for trying out novel optimizations and approximations. This userguide consists of a description of the algorithm, and several examples in varying orders of sophistication. In particular, we exemplify our routine using an effective-interaction approach that fixes the low-energy physics. We benchmark this approach against the existing data, and show that it is able to deliver state-of-the-art numerical results at a significantly reduced computational cost.Comment: 22 + 4 page
We study a few Fermi atoms interacting through attractive contact forces in a one-dimensional trap b...
We apply the general principles of effective field theories to the construction of effective interac...
Thesis (Ph.D.), Department of Physics and Astronomy, Washington State UniversityMuch progress has be...
The variational determination of the two-fermion reduced density matrix is described for harmonicall...
We provide an accurate calculation of the energy spectrum of three atoms interacting through a cont...
In this article we discuss the accuracy of effective one-dimensional theories used to describe the b...
We consider a system of $N$ spinless fermions, interacting with each other via a power-law interacti...
We describe a procedure to systematically improve direct diagonalization results for few-particle sy...
The system of interacting, trapped fermions in one dimension has been of interest in both the theore...
This thesis reports on experiments with few-fermion systems in quasi one dimensional confining poten...
Modern effective-theory techniques are applied to the nuclear many-body problem. A novel approach is...
We provide a detailed study of the properties of a few interacting spin 1/2 fermions trapped in a on...
Few- and many-fermion systems on the verge of stability, and consisting of strongly interacting part...
We describe a procedure to systematically improve direct diagonalization results for few-particle sy...
The ultra-cold and weakly-coupled Fermi gas in two spatial dimensions is studied in an effective fie...
We study a few Fermi atoms interacting through attractive contact forces in a one-dimensional trap b...
We apply the general principles of effective field theories to the construction of effective interac...
Thesis (Ph.D.), Department of Physics and Astronomy, Washington State UniversityMuch progress has be...
The variational determination of the two-fermion reduced density matrix is described for harmonicall...
We provide an accurate calculation of the energy spectrum of three atoms interacting through a cont...
In this article we discuss the accuracy of effective one-dimensional theories used to describe the b...
We consider a system of $N$ spinless fermions, interacting with each other via a power-law interacti...
We describe a procedure to systematically improve direct diagonalization results for few-particle sy...
The system of interacting, trapped fermions in one dimension has been of interest in both the theore...
This thesis reports on experiments with few-fermion systems in quasi one dimensional confining poten...
Modern effective-theory techniques are applied to the nuclear many-body problem. A novel approach is...
We provide a detailed study of the properties of a few interacting spin 1/2 fermions trapped in a on...
Few- and many-fermion systems on the verge of stability, and consisting of strongly interacting part...
We describe a procedure to systematically improve direct diagonalization results for few-particle sy...
The ultra-cold and weakly-coupled Fermi gas in two spatial dimensions is studied in an effective fie...
We study a few Fermi atoms interacting through attractive contact forces in a one-dimensional trap b...
We apply the general principles of effective field theories to the construction of effective interac...
Thesis (Ph.D.), Department of Physics and Astronomy, Washington State UniversityMuch progress has be...