Spin Hamilton Operators, Symmetry Breaking, Energy Level Crossing and Entanglement

Physics – Quantum Physics

Scientific paper

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Scientific paper

We study finite-dimensional product Hilbert spaces, coupled spin systems,
entanglement and energy level crossing. The Hamilton operators are based on the
Pauli group. We show that swapping the interacting term can lead from
unentangled eigenstates to entangled eigenstates and from an energy spectrum
with energy level crossing to avoided energy level crossing.

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