English

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

Quantum Algebra 2010-04-05 v1

Abstract

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 suq(1,1)su_{q}(1,1) algebra. The quantum coproduct structure ensures this normalizable coherent state to be entangled. The entanglement disappears in the classical q1q \to 1 limit, giving rise to a factorizable state.

Keywords

Cite

@article{arxiv.math/0301036,
  title  = {Entanglement via Barut-Girardello coherent state for $su_{q}(1, 1)$ quantum algebra: bipartite composite system},
  author = {R. Chakrabarti and S. S. Vasan},
  journal= {arXiv preprint arXiv:math/0301036},
  year   = {2010}
}

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12 pages