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Geometry of a two-spin quantum state in evolution
Published 8 Jul 2015 in quant-ph | (1507.02197v2)
Abstract: We study the quantum evolution of a two-spin system described by the isotropic Heisenberg Hamiltonian in the external magnetic field. It is shown that this evolution happens on a two-parametric closed manifold. The Fubini-Study metric of this manifold is obtained. It is found that this is the metric of the torus. The entanglement of the states which belong to this manifold is investigated.
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