Abstract
It is proposed to use a result of indirect measurements—the average relative frequency of counts of a detector selective for the states of atoms escaping from a micromaser—for time selection of subensembles of a field mode. Analytical expressions for the reduced density matrix, average number of photons, and Mandel Q parameter for mode subensembles were obtained by the method of periodic paths. The generation of a random sequence of results of indirect quantum measurements was performed by the Monte Carlo method. The results of the analytical and numerical calculations are compared. It is found that the statistics of subensembles is sub-Poisson even when the calculation based on the matrix for the entire ensemble (in the absence of quantum measurements) gives super-Poisson statistics. It is noted that the time selection of subensembles is possible within a limited range of variation in the pumping parameter Θ, when the probability of quantum jumps is relatively low.
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References
J. von Neumann, Mathematical Foundations of Quantum Mechanics (Princeton Univ. Press, Princeton, N.J., 1955; Nauka, Moscow, 1964).
L. I. Mandel’shtam, Lecture Notes in Optics, Relativity, and Quantum Mechanics (Nauka, Moscow, 1972).
K. Hepp, Helv. Phys. Acta 45, 237 (1972).
M. B. Menskiĭ, Usp. Fiz. Nauk 168, 1017 (1998) [Phys. Usp. 41, 923 (1998)].
V. P. Belavkin, Prog. Quantum Electron. 25, 1 (2001).
W. H. Zurek, Phys. Today 44, 36 (1991).
V. B. Braginskiĭ, Usp. Fiz. Nauk 156, 93 (1988) [Sov. Phys. Usp. 31, 836 (1988)].
N. Gisin, Phys. Rev. Lett. 52, 1657 (1984).
R. B. Griffiths, J. Stat. Phys. 36, 219 (1984).
J. M. Raimond, M. Brune, and S. Haroche, Rev. Mod. Phys. 73, 565 (2001).
P. Filipowicz, L. Javanainen, and P. Meystre, Phys. Rev. A 34, 3077 (1986).
P. Meystre and E. M. Wright, Phys. Rev. A 37, 2524 (1988).
H.-J. Briegel, B.-G. Englert, N. Sterpi, and H. Walter, Phys. Rev. A 49, 2962 (1994).
U. Herzog, Phys. Rev. A 50, 783 (1994).
C. Wagner, A. Schenzle, and H. Walther, Opt. Commun. 107, 318 (1994).
O. Benson, G. Raithel, and H. Walther, Phys. Rev. Lett. 72, 3506 (1994).
A. Buchleitner and R. N. Mantegna, Phys. Rev. Lett. 80, 3932 (1998).
G. Raithel, O. Benson, and H. Walther, Phys. Rev. Lett. 75, 3446 (1995).
G. Rempe, M. O. Scully, and H. Walther, Phys. Scr. 34, 5 (1991).
G. Rempe and H. Walther, Phys. Rev. A 42, 1650 (1990).
G. P. Miroshnichenko, Zh. Éksp. Teor. Fiz. 122, 965 (2002) [JETP 95, 833 (2002)].
E. T. Jaynes and F. W. Cummings, Proc. IEEE 89, 51 (1963).
I. P. Vadeĭko, G. P. Miroshnichenko, A. V. Rybin, and J. Timonen, Opt. Spektrosk. 89, 328 (2000) [Opt. Spectrosc. 89, 300 (2000)].
I. P. Vadeĭko, G. P. Miroshnichenko, A. V. Rybin, and J. Timonen, Pis’ma Zh. Éksp. Teor. Fiz. 72, 647 (2000) [JETP Lett. 72, 449 (2000)].
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Translated from Optika i Spektroskopiya, Vol. 96, No. 4, 2004, pp. 619–627.
Original Russian Text Copyright © 2004 by Miroshnichenko.
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Miroshnichenko, G.P. Sub-Poisson statistics of subensembles of a micromaser field mode. Opt. Spectrosc. 96, 560–568 (2004). https://doi.org/10.1134/1.1719145
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DOI: https://doi.org/10.1134/1.1719145