One-Mode Wigner Quasi-Probability Distribution Function for Entangled Coherent States Generated by Beam Splitter and Cavity QED. Issue 1 (March 2019)

• Record Type: Journal Article
• Authors: Mirzaei, S.; Najarbashi, G.
• Is Part Of: Reports on mathematical physics. Volume 83:Issue 1(2019)
• Page Start: 1
• Page End: 20
• Publication Date: 2019-03
• Subjects: coherent state -- concurrence -- entanglement -- Wigner function; 03.65.Ud; Mathematical physics -- Periodicals; Physique mathématique -- Périodiques; 530.15
• DOI: 10.1016/S0034-4877(19)30020-5
• Languages: English
• ISSNs: 0034-4877

Abstract

Abstract : In this paper, we use the displacement operator together with parity operation to construct the superposition of two coherent states. By transmitting this superposition from 50–50 beam splitter the two-mode qubit-like entangled coherent state (ECS) is generated. Moreover, we introduce a controllable method for producing qutrit-like ECS using atom–field interaction in cavity QED and beam splitter. We will show that the distances of peaks of Wigner functions for reduced density matrices of two-mode ECS's are entanglement sensitive and can be witnesses of entanglement. To confirm the results we use concurrence measure to compare bipartite entanglement of ECS's with the behaviour of peaks of Wigner functions. Moreover, we investigate decoherence effects on Wigner function, arising from transmitting ECS's through noisy channels.