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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