Entanglement, Berry Phases, and Level Crossings for the Atomic Breit-Rabi Hamiltonian

Abstract

The relation between level crossings, entanglement, and Berry phases is investigated for the Breit-Rabi Hamiltonian of hydrogen and sodium atoms, describing a hyperfine interaction of electron and nuclear spins in a magnetic field. It is shown that the entanglement between nuclear and electron spins is maximum at avoided crossings. An entangled state encircling avoided crossings acquires a marginal Berry phase of a subsystem like an instantaneous eigenstate moving around real crossings accumulates a Berry phase. Especially, the nodal points of a marginal Berry phase correspond to the avoided crossing points.

5 figures, submitted to a journal

References in corpus (1)

• Detecting level crossings without looking at the spectrum

Cited by in corpus (5)

• Generation and protection of Maximally Entangled State between many modes in an optical network with dissipation
• Signatures of nonclassical effects in tomograms
• Electron Localization and Energy Levels' Oscillations Induced by Controlled Deformation
• Statistical correlation between quantum entanglement and spin-orbit coupling in crossed beam molecular dynamics
• Electron vacancy-level dependent hybrid photoionization of F-@C60+ molecule