311 citations · 2k across the 35 of their papers we have counts for
7 papers · 1 filter
Using a Fermionic Ensemble of Systems to Determine Excited States
Z. Burda, Pawel Sawicki
We discuss a new numerical method for the determination of excited states of a quantum system using a generalization of the Feynman-Kac formula. The method relies on introducing an…
Critical Equalities for Potts Models
P. Sawicki
We apply a simple analytical criterion for locating critical temperatures to Potts models on square and triangular lattices. In the self-dual case, i.e. on the square lattice we re…
Extension of a new method for locating critical temperatures
P. Sawicki
We investigate recently proposed method for locating critical temperatures and introduce some modifications which allow to formulate exact criterion for any self-dual model. We app…
Hubbard Model with Lüscher fermions
P. Sawicki
We study the basic features of the two-dimensional quantum Hubbard Model at half-filling by means of the Lüscher algorithm and the algorithm based on direct update of the determina…
Hubbard Model and Luscher fermions
P. Sawicki
We discuss numerical complexity of the Lüscher algorithm applied to the Hubbard Model. In particular we present comparison to a certain algorithm based on direct computation of the…
Hubbard Model with Luscher fermions - a progress report
P. Sawicki, J. Wosiek
Some modifications of the Luscher algorithm, which reduce the autocorelation time, are proposed and tested.
Hubbard Model with Luscher fermions
P. Sawicki, J. Wosiek
First applications of the new algorithm simulating dynamical fermions are reported. The method reproduces previous results obtained with different techniques.