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Quantifying of quantum entanglement in Schrödinger cat states with the trapped ion-coherent system for the deep Lamb-Dick regime

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Abstract

The entangled qudits of three-level trapped ion and two phonons (in coherent state) in \(\Lambda \) configuration forming a Hilbert space of 12-D are investigated. The quantum entropy is analyzed “such as an elaborated measure” in trapped ion-coherent state system. Four values of Lamb-Dicke parameter (LDP), \(\eta =0.005, 0.07, 0.08\) and 0.09 are probed for deep Lamb-Dick regime. We elucidate that as \(\eta \) is increased, sudden death of entangled state in the trapped ion-coherent state system is decreased or vice versa. By this way, sudden birth of entangled state can be tuned by LDP. All graphs in this study are plotted with aid of the Wolfram Mathematica 9.

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Acknowledgements

I thank to S. K. Tellioğlu, I. Pehlivan for his patience. Thanks to Ozgür Mustecaplioğlu and T. Dermez, for their inspired communications. R. D. thanks in the Foreign Language Support Unit at Afyon Kocatepe University.

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Authors and Affiliations

  1. Department of Physics, Arts and Science Faculty, University of Afyon Kocatepe, 03200, Afyonkarahisar, Turkey

    Rasim Dermez

  2. Afyon Vocational School, University of Afyon Kocatepe, 03200, Afyonkarahisar, Turkey

    Rasim Dermez

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  1. Rasim Dermez
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Correspondence to Rasim Dermez.

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Dermez, R. Quantifying of quantum entanglement in Schrödinger cat states with the trapped ion-coherent system for the deep Lamb-Dick regime. Indian J Phys 95, 219–224 (2021). https://doi.org/10.1007/s12648-020-01697-4

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  • DOI: https://doi.org/10.1007/s12648-020-01697-4

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