Evolution of Wigner function in laser process under the action of linear resonance force and its application

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.

References

[1] RenG, DuJ M. Int. J. Theor. Phys., 2012, 51: 3452

[2] HuL Y, FanH Y. Chin. Phys. B, 2009, 18: 902

[3] DuJ M, HeR, RenG, YuH J. Int. J. Theor. Phys., 2015, 54: 1225

[4] SiyouriF, Ei BazM, HassouniY. Quantum Information Processing, 2016, 15: 4237

[5] PathakA, BanerjiJ. Phys. Lett. A, 2014, 378: 117

[6] YuanH C, XuX X, FanH Y. Chin. Phys. B, 2010, 19: 104205

[7] YaoF, WangJ S, XuT N. Chin. Phys. B, 2015, 27: 070304

[8] DaC, ChenQ F, FanH Y. Int. J. Theor. Phys., 2014, 53: 4372

[9] XuX L, LiH Q, FanH Y. Chinese Physics B, 2015, 24: 070306

[10] ZhangH L, JiaF, XuX X. Acta Phys. Sin., 2013, 62: 014208

[11] BiswasA, AgarwalG S. Phys. Rev. A, 2007, 75: 032104

[12] RicardoW, Nadja KolbB, van PeterL. Phys. Rev. A, 2010, 81: 062344

[13] PanC N, ZhaoX H, YangD W, FangM F. Acta Phys. Sin., 2010, 59: 6814

[14] WangB, XuZ Y, ChenZ Q. Phys. Rev. A, 2010, 81: 014101

[15] XuX X, HuL Y, FanH Y. Optics Communications, 2010, 283: 1801

[16] FanH Y, HuL Y. Commun. Theor. Phys., 2009, 51: 729

[17] FanH Y, HuL Y. Entangled State Representation Theory of Quantum Decoherence in Open System, 2011, Shanghai, Shanghai Jiao Tong University Press, 176

Just Accepted

This article has successfully passed peer review and final editorial review, and will soon enter typesetting, proofreading and other publishing processes. The currently displayed version is the accepted final manuscript. The officially published version will be updated with format, DOI and citation information upon launch. We recommend that you pay attention to subsequent journal notifications and preferentially cite the officially published version. Thank you for your support and cooperation.