Abstract
The negativity of Wigner function (WF) is one of the important symbols of non-classical properties of light field. Therefore, it is of great significance to study the evolution of WF in dissipative process. The evolution formula of WF in laser process under the action of linear resonance force is given by virtue of thermo entangled state representation and the technique of integration within an ordered product of operator. As its application, the evolution of WF of thermal field and that of single-photon-added coherent state are discussed. The results show that the WF of thermal field maintains its original character. On the other hand, the negative region size and the depth of negativity of WF of single- photon-added coherent state decrease until it vanishes with dissipation. This shows that the non-classical property of single-photon-added coherent state is weakened, until it disappears with dissipation time increasing.
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References
Ren G and Du J M, Int. J. Theor. Phys. 51, 3452 (2012).
Hu L Y and Fan H Y, Chin. Phys. B 18, 902 (2009).
Du J M, He R, Ren G and Yu H J, Int. J. Theor. Phys. 54, 1225 (2015).
Siyouri F, Ei Baz M and Hassouni Y, Quantum Information Processing 15, 4237 (2016).
Pathak A and Banerji J, Phys. Lett. A 378, 117 (2014).
Yuan H C, Xu X X and Fan H Y, Chin. Phys. B 19, 104205 (2010).
Yao F, Wang J S and Xu T N, Chin. Phys. B 27, 070304 (2015).
Da C, Chen Q F and Fan H Y, Int. J. Theor. Phys. 53, 4372 (2014).
Xu X L, Li H Q and Fan H Y, Chinese Physics B 24, 070306 (2015).
Zhang H L, Jia F and Xu X X, Acta Phys. Sin. 62, 014208 (2013). (in Chinese)
Biswas A and Agarwal G. S., Phys. Rev. A 75, 032104 (2007).
Ricardo Wickert, Nadja Kolb Bernardes and Peter van Loock, Phys. Rev. A 81, 062344 (2010).
Pan C N, Zhao X H, Yang D W and Fang M F, Acta Phys. Sin. 59, 6814 (2010). (in Chinese)
Wang B, Xu Z Y and Chen Z Q, Phys. Rev. A 81, 014101 (2010).
Xu X X, Hu L Y and Fan H Y, Optics Communications 283, 1801 (2010).
Fan H Y and Hu L Y, Commun. Theor. Phys. 51, 729 (2009).
Fan H Y and Hu L Y, Entangled State Representation Theory of Quantum Decoherence in Open System, Shanghai: Shanghai Jiao Tong University Press, 176 (2011). (in Chinese)
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This work has been supported by the Natural Science Foundation of Fujian Province (No.2015J01020).
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Dao-ming, L. Evolution of Wigner function in laser process under the action of linear resonance force and its application. Optoelectron. Lett. 14, 236–240 (2018). https://doi.org/10.1007/s11801-018-7261-4
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DOI: https://doi.org/10.1007/s11801-018-7261-4