Abstract
We define generalized cat states as linear superpositions of the semi-coherent states. They can be considered as superpositions of two distinguishable components of the Schrödinger cat states. We study the statistical properties of the introduced states in detail. The physical properties of these states, like the sub-Poissonian statistics and normal-order as well as amplitude-squared squeezing effect, are discussed analytically. Moreover, we find some interesting properties of their optical tomogram derived in terms of the exponential function. Finally, we suggest a new theoretical framework for preparing generalized cat states.
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References
V. V. Dodonov, I. A. Malkin, and V. I. Man’ko, Physica, 72, 597 (1974).
N. A. Ansari and V. I. Man’ko, J. Russ. Laser Res., 15, 377 (1994).
V. V. Dodonov, S. Y. Kalmykov, and V. I. Man’ko, Phys. Lett. A, 199, 123 (1995).
V. V. Dodonov, J. Opt. B: Quantum Semiclass. Opt., 4, R1 (2002).
P. M. Mathews and K. Eswaran, Nuovo Cimento B, 17, 332 (1973).
V. V. Dodonov and M. B. Reno, J. Phys. A: Math. Gen., 39, 7411 (2006).
A. Dehghani and B. Mojaveri, Int. J. Theor. Phys., 54, 3507 (2015).
V. V. Dodonov and M. B. Horovits, J. Phys. A: Math. Gen., 47, 315301 (2014).
S. M. Dutra, P. L. Knight, and H. M. Cessa, Phys. Rev. A, 49, 1993 (1994).
V. V. Dodonov and V. I. Man’ko, Theory of Nonclassical States of Light, Taylor and Francis, London (2003), p. 3.
A. Dehghani, B. Mojaveri, and M. Mahdian, Rep. Math. Phys., 75, 267 (2015).
J. S. Neergaard-Nielsen, M. Takeuchi, K. Wakui, et al., Phys. Rev. Lett., 105, 053602 (2010).
S. Haroche and J. Raimond, Exploring the Quantum: Atoms, Cavities and Photons, Oxford University Press (2006).
R. L. Matos Filho and W. Vogel, Phys. Rev. Lett., 76, 608 (1996).
D. F. Walls, Nature, 306, 141 (1983).
V. Bu\( \tilde{z} \)ek, J. Mod. Opt., 37, 303 (1990).
S. N. Filippov and V. I. Man’ko, Phys. Scr., 83, 058101 (2011).
Y. A. Korennoy and V. I. Man’ko, Phys. Rev. A, 83, 053817 (2011).
A. I. Lvovsky and M. G. Raymer, Rev. Mod. Phys., 81, 299 (2009).
S. M. Barnett and P. M. Radmore, Methods in Theoretical Quantum Optics, Oxford University Press (1997).
Ya. A. Korennoy and V. I. Man’ko, J. Russ. Laser Res., 32, 74 (2011).
M. R. Bazrafkan and V. I. Man’ko, J. Russ. Laser Res., 24, 80 (2003).
O. V. Man’ko, J. Russ. Laser Res., 17, 439 (1996) .
G. C. de Oliveira, A. R. de Almeida, I. P. de Queiros, et al., Physica A, 351, 251 (2005).
J. M. C. Malbouisson, B. Baseia, and A. T. Avelar, Physica A, 376, 275 (2007).
C. M. Savage, S. L. Braunstein, and D. F. Walls, Opt. Lett., 15, 628 (1990).
K. Gerry and P. Knight, Introductory Quantum Optics, Cambridge University Press (2004).
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Dehghani, A., Mojaveri, B. Semi-Cats: Nonclassicality and Generation. J Russ Laser Res 39, 222–230 (2018). https://doi.org/10.1007/s10946-018-9712-6
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DOI: https://doi.org/10.1007/s10946-018-9712-6