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arXiv:1210.7689 · Journal of Physics A Mathematical and Theoretical

Bipartite and tripartite entanglement of truncated harmonic oscillator coherent states via beam splitters

Mohammed Daoud A, Ahmed Jellal, El Bouâzzaoui Choubabi, El Hassan El Kinani

Published Jul 15, 2011• 5 citations
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Abstract

We introduce a special class of truncated Weyl–Heisenberg algebra and discuss the corresponding Hilbertian and analytical representations. Subsequently, we study the effect of a quantum network of beam splitting on coherent states of this nonlinear class of harmonic oscillators. We particularly focus on quantum networks involving one and two beam splitters and examine the degree of bipartite as well as tripartite entanglement using the linear entropy.

DOI
10.1088/1751-8113/44/32/325301

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We introduce a special class of truncated Weyl–Heisenberg algebra and discuss the corresponding Hilbertian and analytical representations. Subsequently, we study the effect of a quantum network of beam splitting on coherent states of this nonlinear class of harmonic oscillators. We particularly focus on quantum networks involving one and two beam splitters and examine the degree of bipartite as well as tripartite entanglement using the linear entropy.
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Some years ago Katriel and Solomon [1] described applications to the characterization of the photon statistics of nonideal lasers, nonclassical light, and deformed photon states using f -deformed coherent states. In this letter, we study the effect of a beam splitter on these nonlinear coherent states. We find that these states are useful for generating quantum entanglement as the deformation parameter gets farther form the unity and for strong input field regimes. The results are confirmed through the Werhl entropy.