MuSR method and tomographic probability representation of spin states

TL;DR

This paper introduces a novel tomographic probability approach to analyze muon spin rotation/relaxation/resonance (MuSR) data, linking experimental histograms to quantum spin states and exploring entanglement phenomena.

Contribution

It develops a new tomographic framework for MuSR, establishing relations between experimental data and quantum spin states, and investigates entanglement in muon-electron systems.

Findings

Established relation between MuSR histograms and muon spin tomograms

Studied time evolution of muonium and related systems in the tomographic representation

Analyzed entanglement using tomographic Bell number and PPT criterion

Abstract

Muon spin rotation/relaxation/resonance (MuSR) technique for studying matter structures is considered by means of a recently introduced probability representation of quantum spin states. A relation between experimental MuSR histograms and muon spin tomograms is established. Time evolution of muonium, anomalous muonium, and a muonium-like system is studied in the tomographic representation. Entanglement phenomenon of a bipartite muon-electron system is investigated via tomographic analogues of Bell number and positive partial transpose (PPT) criterion. Reconstruction of the muon-electron spin state as well as the total spin tomography of composed system is discussed.