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

Sangchul Oh, Zhen Huang, Uri Peskin, Sabre Kais

Research output: Contribution to journalArticle

17 Citations (Scopus)

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.

Original languageEnglish
Article number062106
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume78
Issue number6
DOIs
Publication statusPublished - 9 Dec 2008
Externally publishedYes

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nuclear spin
electron spin
hydrogen atoms
eigenvectors
sodium
magnetic fields
atoms
interactions

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

Entanglement, Berry phases, and level crossings for the atomic Breit-Rabi Hamiltonian. / Oh, Sangchul; Huang, Zhen; Peskin, Uri; Kais, Sabre.

In: Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 78, No. 6, 062106, 09.12.2008.

Research output: Contribution to journalArticle

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