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

ABSTRACT

In this paper, we consider the situation that three identical two-level atoms are separately trapped in the three single-mode cavities. Each atom resonantly interacts with cavity via a one-photon hopping. The dynamics of nonlocality in the system is investigated via Mermin–Ardehali–Belinksii–Klyshko inequality. The results show that when three atoms are initially in W state and three-cavity fields are in vacuum states both the quantum state of three atoms and that of three cavities all display nonlocality On the other hand, when three atoms are initially in Greenberger–Horne–Zeilinger state and three-cavity fields are in vacuum states, the quantum state of three atoms and that of three cavities all do not display nonlocality.

KEYWORDS:

• Quantum optics
• three-Jaynes–Cummings model
• nonlocality
• violation of Mermin–Ardehali–Belinksii–Klyshko’s inequality

PACC:

• 42.50
• 03.65

PACS:

• 03.65.Ud
• 42.50.Dv

Additional information

Funding

This work is supported by the Natural Science Foundation of Fujian Province of China [grant number 2015J01020].