Entanglement, Berry phases, and level crossings for the atomic Breit-Rabi Hamiltonian

Sangchul Oh, Zhen Huang, Uri Peskin, Sabre Kais

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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.

Original languageEnglish
Article number062106
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Issue number6
Publication statusPublished - 9 Dec 2008
Externally publishedYes


ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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