Quantum properties of k-photon Jaynes-Cummings model in a Kerr medium

Abstract

Abstract: The system under consideration consists of a two-level atom coupled an optical field in -photon Jaynes-Cummings model with a Kerr medium. The time evolution of field entropy squeezing and population inversion of the atom for three and four-photon transitions is discussed. The influence of the Kerr medium on field entropy squeezing and population inversion of the atom is also analyzed. The results show that the field entropy squeezing and population inversion of the atom are sensitive to the effect of the Kerr medium.

Key words: quantum optics, Kerr medium, entropy squeezing, photon

CLC Number:

O431.2

References

[1] Jaynes E T, Cummings F W. Comparison of quantum and semiclassical radiation theories with application to the beam Maser[J]. Proc. IEEE, 1963, 51: 89.
[2] Agarwal G S. Vacuum-field Rabi oscillations of atoms in a cavity[J]. J. Opt. Soc. Am. B, 1985, 2: 480.
[3] Zhou Peng, Peng Jinsheng. Dipole squeezing of an atom driven by a single-mode thermal radiation field[J]. Chinese Journal of Laser (中国激光), 1992, 19: 580 (in Chinese).
[4] Narozhny N B, Sanchez-Mongragon J J, Eberly J. H. Coherence versus incoherence: Collapse and revival in a simple quantum model[J]. Phys. Rev. A, 1981, 23: 236.
[5] Rempe G, Walther H, Klein N. Observation of quantum collapse and revival in a one-atom maser[J]. Phys. Rev. Lett., 1985, 58: 353.
[6] Vogel W, Welsch D G, Laine L. Test of squeezing and coherence of a single-mode cavity field[J]. J. Opt. Soc. Am. B, 1987, 4: 1633.
[7] Zhou Peng, Peng Jinsheng. Atomic squeezing effects in the two-photon jaynes-cummings model[J]. Acta Physica Sinica (物理学报), 1989, 38: 2044 (in Chinese).
[8] Zhou Peng. Collapse and revival effect of atomic inversion in the multiphoton Jaynes-Cummings model[J]. Chinese Journal of Laser (中国激光), 1993, 20: 117 (in Chinese).
[9] Luo Genxian, Guo Guangcan, Peng Shian. A quantum-statistical model of multiphoton interaction of a two-level atom with a single-mode thermal radiation field[J]. Chinese Journal of Laser (中国激光), 1990, 17: 99 (in Chinese).
[10] Zhou Peng, Peng Jinsheng. Evolution of the multiphoton Jaynes-Commings model[J]. Acta Optica Sinica (光学学报), 1990, 10: 837 (in Chinese).
[11] Fang Maofa, Zhou Peng. Evolution of field entropy for the multiphoton Jaynes-Cummings model[J]. Acta Optica Sinica (光学学报), 1993, 13: 799 (in Chinese).
[12] Li Yongping, Liu Yongliang, He Jinyu. The Entropy Squeezing Properties of Jaynes-
Cummings Model in Two-Photon Processes[J]. Acta Sinica Quantum Optica (量子光学学报), 2003, 9: 112 (in Chinese).
[13] Kang Dongpeng, Ren Min, Ma Aiqun, et al. Entropy squeezing of the optical filed in k-photon Jaynes-Cummings model[J]. Acta Physica Sinica (物理学报), 2008, 57: 873 (in Chinese).
[14] Buzek V, Jex I. Dynamics of a two-level atom in a Kerr-like medium[J]. Opt. Commun., 1990, 78: 425
[15] Joshi A, Puri R R. Dynamical evolution of the two-photon Jaynes-Cummings model in a Kerr-like medium[J]. Phys. Rev. A, 1992, 45: 5056.
[16] Fang Maofa, Zhou Peng. Entropy propertites of the filed in the two-photon Jaynes-
Cummings model with an additional Kerr medium[J]. Acta Physica Sinica (物理学报), 1994, 43: 570 (in Chinese).
[17] Fang Maofa, Liu Huien. Evolution of the Field Entropy in the Jaynes-Cummings Model with an Additional Kerr Medium[J]. Acta Optica Sinica (光学学报), 1994, 14: 475 (in Chinese).
[18] Fang Maofa, Liu Huien. Properties of entropy and phase of the field in the two-photon Jaynes-Cummings model with an added Kerr medium[J]. Phys. Lett. A, 1994, 200: 250.
[19] Tang Huiqin, Zhu Kaicheng, Huang Duzhi. Dynamical Evolution of the Two Photon Jaynes Cummings Model in a Kerr Like Medium with Saturable Nonlinearity[J]. Acta Optica Sinica (光学学报), 1996, 16: 1549 (in Chinese).
[20] Liu Tangkun, Peng Jinsheng. Fluctuations of Measured Phase Operators in Thermal Squeezed States[J]. Acta Optica Sinica (光学学报), 1997, 17: 991 (in Chinese).
[21] Obada A S F, Ahmed M M A, Faramawy F K, et al. Influence of Kerr-like medium on a nonlinear two-level atom[J]. Chaos,Solitons and Fractals, 2006, 28: 983.
[22] Zheng Xiaohu, Cao Zhuoliang. The Statistics of Photon of Entangled Fields Interacting with a Three-Level Atom in Kerr Medium[J]. Acta Optica Sinica (光学学报), 2005, 25: 419 (in Chinese).　
[23] Sebawe Abdalla M, Obada A S F, Abdel-Khalek S. Entropy squeezing of time dependent single-mode Jaynes-Cummings model in presence of non-linear effect[J]. Chaos, Solitons and Fractals, 2008, 36: 405.
[24] Bialynicki-Birula I, Mycielski J. Uncertainty relations for information entropy in wave mechanics[J]. Commun. Math.Phys, 1975, 44: 129.
[25] Jorge S R. Position-momentum entropic uncertainty relation and complementarity in single-slit and double-slit experiments[J]. Phys. Rev. A, 1998, 57: 1519.
[26] Michael J W H. Universal geometric approach to uncertainty, entropy, and information[J]. Phys. Rev. A, 1999, 59: 2602.
[27] Orlowski A. Information entropy and squeezing of quantum fluctuations[J]. Phys. Rev. A, 1997, 56: 2545.
[28] Fang Maofa, Chen Jumei. Entropic Uncertainty Relation and Entropic Squeezing of the Field[J]. Acta Optica Sinica (光学学报), 2001, 21: 8 (in Chinese).