Violation of Mermin–Ardehali–Belinksii–Klyshko inequality in the three-Jaynes–Cummings model

Violation of Svetlichny inequality in Triple Jaynes-Cummings Models

“…Since the quantum state of three atoms and of three cavities all do not display nonlocality via the MABK inequality as shown in ref. 15 , it seems that MABK inequality is not always the optimum way to test the local realism according to our results. As for the other cases, we know the Svetlichny inequalities of the corresponding subsystems hold for all possible Svetlichny operators.…”

“…In ref. 15 , they consider three identical atoms trapped in three cavities separately. The results show that both the system of three atoms and the system of three cavities display nonlocality via Mermin-Ardehali-Belinksii-Klyshko (MABK) inequality, if the atoms are in W state and three cavity fields are in vacuum states.…”

“…By studying the Svetlichny inequality, we obtain different results about the local realistic description of GHZ state in the triple JCM from the ref. 15 . We find that the two subsystems of three atoms and three cavity modes display genuine nonlocality by violating the Svetlichny inequality.…”

Multipartite entanglement dynamics and transfer in double and triple Tavis–Cummings models

“…The Jaynes-Cummings model (JCM) [7], as an exactly solvable model of the interaction between a two-level atom and a quantized radiation field, has been exploited for investigating the dynamics of entanglement and nonlocality [8][9][10][11][12][13][14]. In references [8,9], Yönac ¸et al studied the entanglement dynamics and transfer in the double JCM, and found that bipartite * Author to whom any correspondence should be addressed.…”

“…Whereas Kim et al [11] investigated the dynamics of genuine tripartite entanglement via three-tangle in the triple JCM numerically, Qiang et al [12] studied the dynamics of multipartite entanglement in the triple JCM by considering the genuine multipartite concurrence. In references [13,14], the dynamics of nonlocality in the triple JCM were investigated via Mermin-Ardehali-Belinksii-Klyshko inequality and Svetlichny inequality, respectively. Recently, Shen et al [15,16] investigated methods that allow analytical treatments of the entanglement dynamics of separate Jaynes-Cummings nodes with continuous-variable fields when the fields are vacuum and coherent states.…”