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In this paper, we use the displacement operator together with parityoperation to construct the superposition of two coherent states. Bytransmitting this superposition from 50-50 beam splitter the two-mode qubitlike ECS is generated. Moreover, we introduce a controllable method forproducing qutrit like ECS using atom-field interaction in cavity QED and beamsplitter. We will show that the distances of peaks of Wigner functions forreduced density matrices of two-mode ECS's are entanglement sensitive and canbe a witness for entanglement. To confirm the results we use concurrencemeasure to compare bipartite entanglement of ECS's with the behavior of peaksof Wigner functions. Moreover, we investigate decoherence effects on Wignerfunction, arising from transmitting ECS's through noisy channels.

One-Mode Wigner Quasi-probability Distribution Function for Entangled Coherent States Generated by Beam Splitter and Cavity QED