Work

Spectrum broadcast structures from von Neumann type interaction Hamiltonians with continuous variables

Year: 2026

Type: article

Abstract: In this paper, we contribute to the mathematical foundations of the recently established theory of Spectrum Broadcast Structures (SBS). These are multipartite quantum states, encoding an operational notion of objectivity and exhibiting a more advanced form of decoherence. We study SBS and asymptotic convergence to SBS in the case of a central system interacting with N environments via the von Neumann-type measurement interactions, ubiquitous in the theory of open quantum systems. We will be focusing on the case where the system is modeled by an infinite-dimensional Hilbert space and the operators associated with the system in the Hamiltonian have purely continuous spectrum. Such a setup yields mathematical complications that have hitherto not been addressed in the theory of SBS.

Source: Journal of Mathematical Physics

DOI: 10.1063/5.0244740

Authors: Alberto Acevedo, Jarek Korbicz, Janek Wehr

Institutions: University of Arizona, Universidad Cardenal Herrera CEU, Center for Theoretical Physics, Polish Academy of Sciences

Language: English

Topic: Quantum Mechanics and Applications

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funder: Generalitat Valenciana

Award: G5881792215