Spectrum Broadcast Structures from von Neumann type interaction Hamiltonians with continuous variables

Autor:	Acevedo, Alberto, Wehr, Janek, Korbicz, Jarosław
Rok vydání:	2024
Předmět:	Quantum Physics Mathematical Physics
Druh dokumentu:	Working Paper
Popis:	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. Comment: 31 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2409.12372 Zobrazit plný text záznamu View this record from Arxiv