Entanglement via Barut-Girardello coherent state for $su_{q}(1, 1)$ quantum algebra: bipartite composite system

Details Entanglement via Barut-Girardello coherent state for $su_{q}(1, 1)$ quantum algebra: bipartite composite system Entanglement via Barut-Girardello coherent state for $su_{q}(1, 1)$ quantum algebra: bipartite composite system

2003-01-06

arxiv.org/abs/math/0301036v1

Mathematics

Quantum Algebra

12 pages

Scientific paper

10.1016/S0375-9601(03)00653-4

Using noncocommutative coproduct properties of the quantum algebras, we introduce and obtain, in a bipartite composite system, the Barut-Girardello coherent state for the q-deformed $su_{q}(1,1)$ algebra. The quantum coproduct structure ensures this normalizable coherent state to be entangled. The entanglement disappears in the classical $q \to 1$ limit, giving rise to a factorizable state.

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