3 papers
math-ph2026
On the structural properties of Lie algebras via associated labeled directed graphs
Tim Heib, David Edward Bruschi
We present a method for associating labeled directed graphs to finite-dimensional Lie algebras, thereby enabling rapid identification of key structural algebraic features. To forma…
quant-ph2025
Finite-dimensional Lie algebras in bosonic quantum dynamics: The single-mode case
Tim Heib, Andreea Silvia Goia, Sona Baghiyan +2
We study, classify, and explore the mathematical properties of finite-dimensional Lie algebras occurring in the quantum dynamics of single-mode and self-interacting bosonic systems…
quant-ph2025
Bounding the rotating wave approximation for coupled harmonic oscillators
Tim Heib, Paul Lageyre, Alessandro Ferreri +5
In this work we study the validity of the rotating wave approximation of an ideal system composed of two harmonic oscillators evolving with a quadratic Hamiltonian and arbitrarily…