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

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

2008-10-16

arxiv.org/abs/0810.2912v1

Phys. Rev. A 78, 062106 (2008)

Physics

Quantum Physics

5 figures, submitted to a journal

Scientific paper

10.1103/PhysRevA.78.062106

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.

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