1 citations · 3 across the 3 of their papers we have counts for
4 papers
Low energy properties of non-perturbative quantum systems: a space reduction approach
Tarek Khalil, Jean Richert
We propose and test a renormalization procedure which acts in Hilbert space. We test its efficiency on strongly correlated quantum spin systems by working out and analyzing the low…
An application of renormalization in Hilbert space at phase transition points in strongly interacting systems
Tarek Khalil, Jean Richert
We introduce an algorithm aimed to reduce the dimensions of Hilbert space. It is used here in order to study the behaviour of low energy states of strongly interacting quantum many…
Application of a renormalization algorithm in Hilbert space to the study of many-body quantum systems
Tarek Khalil, Jean Richert
We implement an algorithm which is aimed to reduce the number of basis states spanning the Hilbert space of quantum many-body systems. We test the efficiency of the procedure by wo…
Renormalisation and fixed points in Hilbert Space
Tarek Khalil, Jean Richert
The energies of low-lying bound states of a microscopic quantum many-body system of particles can be worked out in a reduced Hilbert space. We present here and test a specific non-…