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quant-ph2026
Universality from Quadratic Angular-Momentum Operations: Exact Dynamical Lie Algebras and the Role of the Casimir Obstruction
Tim Heib, Pérola Milman
Universality relies on combining operators with different algebraic properties, which depend on the physical structure of the Hilbert space encoding the information. Systems of ide…
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-ph2024★ 1 cited
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…