Abstract
We study the genuine tripartite nonlocality of some qubit states in a triple JCM. In this model, each atom state (A, B or C) was initially prepared with an independent cavity (a, b or c). By using two kinds of GHZ-like states as the atomic initial states, we investigate the genuine tripartite nonlocality as the time evolutions for the non-interaction three-qubit subsystems. We also study the genuine tripartite nonlocality of the subsystems by using the Svetlichny inequality. For the subsystems of three atoms ABC and three cavity modes abc, we show that they are genuinely nonlocal at certain period intervals of time. The states of all the other inequivalent subsystems satisfy the Svetlichny inequality for two types of GHZ-like states.
Highlights
Bell demonstrated that quantum theory are not always compatible with other physical theories[1]
In ref. 14, the genuine tripartite entanglement dynamics was investigated via three-tangle for all the non-interaction three-qubit subsystems in a triple Jaynes-Cummings Model (JCM) numerically[14]
By analyzing the amount of maximal violation of the Svetlichny inequality, we show that the subsystems of three atoms and three cavity modes are genuinely nonlocal at certain period intervals of time when the three two-level atoms are given in a GHZ-like state in triple JCM
Summary
Bell demonstrated that quantum theory are not always compatible with other physical theories[1]. By analyzing the amount of maximal violation of the Svetlichny inequality, we show that the subsystems of three atoms and three cavity modes are genuinely nonlocal at certain period intervals of time when the three two-level atoms are given in a GHZ-like state in triple JCM. By studying the Svetlichny inequality, we obtain different results about the local realistic description of GHZ state in the triple JCM from the ref. We find that the two subsystems of three atoms and three cavity modes display genuine nonlocality by violating the Svetlichny inequality.
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