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Entanglement and nonlocality, two most striking features of quantum mechanics, are fundamental resources for quantum information processing. They play an important role in quantum information processing. Therefore, studying the dynamics of quantum nonlocality and entanglement is of importance for both fundamental research and practical applications. In this paper we consider the case that three identical two-level atoms are trapped respectively in the three separated equidistance single-mode cavities, which are placed at the vertices of an equilateral triangle and are coupled by three fibers. Each atom resonantly interacts with cavity via a one-photon hopping. The evolution of the state vector of the system is given by solving the schrodinger equation when the total excitation number of the system equals one. The dynamics of nonlocality in the system is investigated via Mermin-Ardehali-Belinksii-Klyshko (MABK) inequality. By the numerical calculations, the MABK inequality is studied when the initial state vector of three atoms is W state or the initial state vector of three cavities is also W state. The influence of cavity-fiber coupling constant on the MABK inequality is discussed. The evolution curves of the MABK parameters Ba and Bc are plotted. The curves show that Ba and Bc both display periodic oscillations, and their oscillation frequencies all increase with the increase of cavity-fiber coupling constant. Ba and Bc are both larger than 1 when the scaling time gt takes a certain value. The results show that the quantum state of three atoms or that of three cavities displays nonlocality. On the other hand, the nonlocality of three-atom quantum state is strengthened with the increase of cavity-fiber coupling constant.
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Keywords:
- quantum optics /
- coupled cavities /
- nonlocality /
- violation of Mermin-Ardehali-Belinksii-Klyshko
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[7] Ardehali M 1992 Phys. Rev. A 46 5375
[8] Belinskii A V, Klyshko D N 2002 Phys. Rev. Lett. 88 210401
[9] Zukowski M, Brukner C 2002 Phys. Rev. Lett. 88 210401
[10] Jaeger G, Ann K 2008 Phys. Lett. A 372 2212
[11] Chaves R, Cavalcanti D, Aolita L, et al. 2012 Phys. Rev. A 86 012108
[12] Zhen X L, Yang Q, Yang M, et al. 2014 Commun. Theor. Phys. 62 795
[13] Qiu L, Wang A M, Su X Q, et al. 2008 Optics Communications 281 5475
[14] Sohbi A, Zaquine I, Diamanti E, et al. 2015 Phys. Lett. A 91 022101
[15] Yang Q, Yang M, Cao Z L 2008 Phys. Lett. A 372 6843
[16] Zhao J Q, Cao L Z, Lu H X, et al. 2013 Acta. Phys. Sin. 62 120301 (in Chinese) [赵加强, 曹连振, 逯怀新等 2013 物理学报 62 120301]
[17] Peng P, Li F L 2007 Phys. Rev. A 75 062320
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[1] Wu Q, Zhu G J, Zhang Y D, et al. 2002 Acta Optica Sinica 22 1409 (in Chinese) [吴强, 朱国骏, 张永德 等 2002光学学报 22 1409]
[2] Luo C L, Liao C G, Chen Z H 2010 Optics Communications 283 316
[3] Lu H X, Li Y D 2009 Chin. Phys. B 18 40
[4] Li J Q, Liang J Q 2010 Phys. Rev. A 374 1975
[5] Ding Z Y, He J 2016 Int. J. Theor. Phys. 55 278
[6] Mermin N D 1990 Phys. Rev. Lett. 65 1838
[7] Ardehali M 1992 Phys. Rev. A 46 5375
[8] Belinskii A V, Klyshko D N 2002 Phys. Rev. Lett. 88 210401
[9] Zukowski M, Brukner C 2002 Phys. Rev. Lett. 88 210401
[10] Jaeger G, Ann K 2008 Phys. Lett. A 372 2212
[11] Chaves R, Cavalcanti D, Aolita L, et al. 2012 Phys. Rev. A 86 012108
[12] Zhen X L, Yang Q, Yang M, et al. 2014 Commun. Theor. Phys. 62 795
[13] Qiu L, Wang A M, Su X Q, et al. 2008 Optics Communications 281 5475
[14] Sohbi A, Zaquine I, Diamanti E, et al. 2015 Phys. Lett. A 91 022101
[15] Yang Q, Yang M, Cao Z L 2008 Phys. Lett. A 372 6843
[16] Zhao J Q, Cao L Z, Lu H X, et al. 2013 Acta. Phys. Sin. 62 120301 (in Chinese) [赵加强, 曹连振, 逯怀新等 2013 物理学报 62 120301]
[17] Peng P, Li F L 2007 Phys. Rev. A 75 062320
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