The quantum entanglement with negativity and concurrence calculations in trapped ion

Interaction in mind of trapped a three level ion with two laser beams is a review quantum entanglement of this system. Negativity and concurrence graphics as a measure of the amount of entanglement have been created in the Mathematica program. Three dimensional graphics have been obtained created under different conditions of these graphics can be drawn according to time. Also 3 eta value called as Lamb-Dicke parameter were created 6 concurrence, 6 negativity graphics to 12 graphics in total for zeroth order and first order. Amount of entanglement is interpreted on the resulting all these graphics. Besides the quantity of concurrence and negativity, after emerging from the interaction amplitude of the latest wave function, according to the time of change has been drawn in different conditions. However the Mathematica program has created this graph has been obtained in the 2-dimensions. As a result, we have identified that is done in cases increases the value of eta and the maximum amount of entanglement of the laser-ion wave function with amplitude that is equal of x and y. In addition, we have reached the conclusion that the maximum certain time value the amount of entanglement.