Analyzing of Quantum Entanglement with Concurrence in the Deep Lamb-Dicke Regime

Authors : Rasim DERMEZ

Pages : 339-352

Doi:10.37094/adyujsci.666654

View : 17 | Download : 8

Publication Date : 2020-06-25

Article Type : Research Paper

Abstract :The entangled states of three-level of trapped ion and two phonons (into coherent state) in Lambda configuration forming a Hilbert space of 12-dimensional (D) are analyzed. The concurrence is considered "such as a quantum 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 investigated by the worths of concurrence. We demonstrate that as eta is increased, sudden birth of entangled states in the system is increased. Thus, establishing of entangled states can be tuned by LDP.
Keywords : Trapped ion coherent system, Interaction Hamiltonians, Probability amplitudes, Frequency of harmonic trap