Abstract
We investigate the entanglement of a trapped three-level ion interacting with two vibrational phonons, which form a fifteen-dimensional Hilbert space. We reveal analytic formulas describing both the concurrence and negativity. We show that, in such a system, a higher degree of entanglement with a concurrence of 0.999 and a negativity of 0.499 can be attained at a specific time of 16.9 fs. Derived expressions of concurrence and negativity include first-order terms in the interaction picture. Finally, an explicit solution for first-order terms shows that the amount of concurrence can be tuned between 0 and 1.0, while the amount of negativity changes between 0 and 0.5.
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Dermez, R. Generalized Concurrence and Negativity in Time-Dependent C 3 ⊗ C 5 = C 15 Dimensional Ionic–Phononic Systems. J Russ Laser Res 37, 572–580 (2016). https://doi.org/10.1007/s10946-016-9609-1
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DOI: https://doi.org/10.1007/s10946-016-9609-1