Entropy squeezing of a multi-photon Jaynes-Cummings atom in the presence of noise

Öz In this work, we study the entropy squeezing of a two-level atom interacting with a single-mode quantum field by a multi-photon Jaynes-Cummings Model in the presence of the two-state random phase telegraph noise. We show that the entropy squeezing is very sensitive to the noise. It disappears in time quickly due to the strongly destructive effect of the noise.

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E. T. Jaynes and F. W. Cummings, Proc. IEEE 51, 89 (1963).

H.-I. Yoo and J. H. Eberly, Phys. Rep. 118, 239 (1985).

B. W. Shore and P. L. Knight, J. Mod. Opt. 40, 1195 (1993).

M. O. Scully and M. S. Zubairy, Quantum Optics (UK:Cambridge University Press), (1997).

G. Rempe, H. Walther and N. Klein, Phys. Rev. Lett. 58, 353 (1987).

X. S. Li, D. L. Lin, T. F. George and Z. D. Liu, Phys. Rev. A 40, 228 (1989).

X. S. Li, D. L. Lin and T. F. George, Phys. Rev. A 40, 2504 (1989).

P. Zhou and J. S. Peng, Phys. Rev. A 44, 3331 (1991).

M. M. Ashraf and M. S. K. Razmi, Phys. Rev. A 45, 8121 (1992).

K. Wódkiewicz, P. L. Knight, S. J. Buckle and S. M. Barnett, Phys. Rev. A 35, 2567 (1987).

I. I. Hirschman, Am. J. Math 79, 152 (1957).

J. Sanchez-Ruiz, Phys. Lett. A 201, 125 (1995). J. Sanchez-Ruiz, Phys. Lett. A 244, 189 (1998).

M.-F. Fang, P. Zhou and S. Swain, J. Mod. Opt. 47, 1043 (2000).

M. Abdel-Aty, M. S. Abdalla and A.-S. F. Obada, J. Phys. A: Math. Gen. 34, 9129 (2001).

T. M. El-Shahat, S. Abdel-Khalek, M. Abdel-Aty and A.-S. F. Obada, Chaos, Solitons & Fractals 18, 289 (2003).

T. M. El-Shahat, S. Abdel-Khalek and A.-S. F. Obada, Chaos, Solitons & Fractals 26, 1293 (2005).

X.-Q. Yan, B. Shao and J. Zou, Chaos, Solitons & Fractals 40, 215 (2009).

H. Kayhan, Phys. Scr. 84, 045401 (2011).

S. V. Lawande, A. Joshi and Q. V. Lawande, Phys. Rev. A 52, 619 (1995).

A. Joshi, J. Mod. Optics 42, 2561 (1995).

B. Buck and C. V. Sukumar, Phys. Lett. A 81, 132 (1981).

C. C. Gerry, Phys. Rev. A 37, 2683 (1988).

V. Buzek et.al., Phys. Rev. A 56, 2352 (1997).

A. I. Burshtein, Zh. Eksp. Teor. Fiz. 49, 1362 (1965) [Sov. Phys.-JETP 22, 939 (1966)].

A. I. Burshtein and Y. S. Oseledchilk, Zh. Eksp. Teor. Fiz. 51, 1071 (1966) [Sov. Phys.-JETP 24, 716 (1967)].

L. D. Zusman and A. I. Burshtein, Zh. Eksp. Teor. Fiz. 61, 976 (1971) [Sov. Phys.-JETP 34, 520 (1972)].

H. Kayhan, Eur. Phys. J. D 48, 443 (2008).

H. Kayhan, Int. J. Quantum Inform. 9, 1229 (2011).