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International Journal of Theoretical Physics

Quantum Discord in Optical Coherent States

Abderrahim El Allati, Salvador Robles-Pérez, M. El Baz

Published Sep 6, 2013• 4 citations
Publisher
DOI
10.1007/s10773-013-1782-1

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Quantum discord measures the fraction of the pair-wise mutual information that is locally inaccessible in a multipartite system. Nonzero quantum discord has interesting and significant applications because although non-zero entanglement guarantees the existence of quantum correlation in a bipartite quantum system, zero entanglement does not guarantee the absence of a quantum correlation. On the other hand, many quantum optics systems can be described as deformed quantum oscillators. In this work, we investigate the quantum discord of bipartite entangled nonlinear coherent states, in the context of the so-called f-deformed coherent states algebra. To calculate the quantum discord, we consider quasi- Werner mixed states bases on bipartite entangled f-deformed coherent states. Two explicit analytic expressions are derived for the quantum discord of two different nonlinear deformed coherent states. The first one considers deformed coherent states obtained as eigenstates of the annihilation deformed operator, and the second one is obtained by using a deformed displacement operator. We compare the quantum discord of those states, when the nonlinear deformation function is either associated with the SU(1,1) coherent states in the Gilmore-Perelomov or Barut-Girardello representations, respectively.
Geometrical quantum discord (GQD) is an effective measure of quantum correlation in quantum systems. We study GQD dynamics in an atom-cavity-fiber system. GQD between atoms and that between cavities are investigated. The influences of coupling constant between cavity and fiber and the intensity of the cavity field on GQD are discussed. Results show that GQD between atoms and that between cavities all display periodical evolutions, and their evolution frequencies increase with increasing coupling constant between cavity and fiber. On the other hand, the GQD between atoms and that between cavities are all strengthened with increasing intensity of the cavity field.