Dynamics of entangled quantum optical system in independent media


Department of Physics, Ferdowsi University of Mashhad, 91775-1436, Mashhad, Iran


We study the dynamics of two three-level atoms interacting with independent bosonic Lorentzian reservoirs at zero temperature. Such systems can be created in far astronomical objects. Quantum mechanical behaviour of these particles can produce detectable effects on the spectroscopic identifications of these objects, if such behaviour remain stable during the interaction with their media. It is shown that de-tuning increases the robustness of negativity and geometric discord as the measures of entanglement and quantum correlation beyond entanglement, respectively against interaction with reservoirs. In separable and bound entangled regions, negativity is zero while the geometric discord remains not zero. We also study the evolution of geometric discord and negativity for an isotropic state.


[1] Unruh, W. and Schtzhold, R. Hawking radiation from phase horizons in laser filaments? Phys. Rev. D 86, 064006 (2012).

[2] Liberati, S., Prain, A. and Visser, M. Quantum vacuum radiation in optical glass. Phys. Rev. D 85, 084014 (2012).

[3] Steinhauer J., 2015, arXiv:1510.00621

[4] Ahn D., Kim M. S. , 2008, Phys.Rev. D 78, 064025

[5] Ahn D., 2007, JHEP 0703, 021

[6] Gomez J., 2009, Proceedings of science: PoS(QQ09) 015

[7] Weiss U., 2008, Quantum Dissipative System, World Scientific, Singapore

[8] Breuer H.P., Petruccione F., 2002, Oxford University Press, Oxford

[9] Goktug K., Gedik Z., 2011, Physics Letters A 375. 47, 4166-4171

[10] Peres A.,1996, Physical Review Letters 77, 8, 1413

[11] Horodecki R., et al. 2009, Reviews of Modern Physics 81,2 , 865

[12] Luo S., Shuangshuang F., 2010, Physical Review A 82,3 , 034302

[13] Hassan A. S., Behzad L., Pramod S. J., 2012, Physical Review A 85,2, 024302

[14] Xiao-Yun W., et al. 2012, Communications in Theoretical Physics 57,2,276

[15] Yu T., Eberly J. H.,2010, Optics Communications 283,5,676-680.

[16] Qiu L., et al. 2014, International Journal of Theoretical Physics 53,8,2769-2777.

[17] Horodecki P., Horodecki M., Horodecki R., 1999, Physical review letters 82,5, 1056.

[18] Xiao,X., et al. 2010, Optics Communications 283,14,3001-3005.

[19] Yan X. Q., Liu G. H., Chee J.. 2013, Physical Review A 87,2 ,022340.

[20] Arunachalam S, Johnston N, Russo V. Is absolute separability determined by the partial transpose? arXiv preprint arXiv:14055853. 2014.