3 papers
quant-ph2025
Separability and entanglement in classical eigenfunctions as a criterion for Hamiltonian chaos
A. D. Bermúdez Manjarres
We study the eigenfunctions of the classical Liouville operator and investigate the conditions they must obey to be separable as a product state. We point out that the conditions f…
quant-ph2025
Hamiltonian point of view of quantum perturbation theory
A. D. Bermúdez Manjarres
We explore the relation of Van Vleck-Primas perturbation theory of quantum mechanics with the Lie-series-based perturbation theory of Hamiltonian systems in classical mechanics. In…
quant-ph2024
Three statistical descriptions of classical systems and their extensions to hybrid quantum-classical systems
Andrés DarÃo Bermúdez Manjarres, Marcel Reginatto, Sebastian Ulbricht
We present three statistical descriptions for systems of classical particles and consider their extension to hybrid quantum-classical systems. The classical descriptions are ensemb…