From the 1 of 5 linked papers with an AI index.
5 papers
Standard basis operator method for ground-state and temperature properties of single and two-component Bose-Hubbard model
Oliwier UrbaÅski, Tomasz P. Polak
The paper develops an improved standard basis operator method to study ground‑state and finite‑temperature properties of single‑ and two‑component Bose‑Hubbard models in three dime…
Resolving problems with the continuum limit in coherent-state path integrals
Oliwier UrbaÅski
The paper solves the problem of continuum limit in bosonic thermal coherent-state path integrals. For this purpose, exact discrete versions of the path integral are constructed for…
Quantum phase transition in transverse-field Ising model on SierpiÅski gasket lattice
Tymoteusz Braciszewski, Oliwier UrbaÅski, Piotr Tomczak
We investigate the quantum phase transition in the transverse-field Ising model on the SierpiÅski gasket using finite-size scaling (FSS) and numerical renormalization group (NRG).…
Exploring the variational method for thermodynamic models
Oliwier UrbaÅski
This work explores the possibilities of the Gibbs-Bogoliubov-Feynman variational method, aiming at finding room for designing various drawing schemes. For example, mean-field appro…
An infinite grid of mesoscopic resistors: investigation and visualization of ballistic conduction
Oliwier UrbaÅski
A square lattice of mesoscopic resistors is considered. Each bond is modeled as a narrow waveguide, while junctions are sources of elastic scattering given by a scattering matrix \…