Abstract
The statistical properties of a single quantum object and an ensemble of independent such objects are considered in detail for two-level systems. Computer simulations of dynamic zero-point quantum fluctuations for a single quantum object are reported and compared with analytic solutions for the ensemble case.
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REFERENCES
M. D. Srinivas and E. B. Davies, Opt. Acta 28, 981 (1981). H. J. Carmichael, An Open-System Approach to Quantum Optics(Lecture Notes in Physics, Vol. 18) (Springer-Verlag, Berlin, 1993). H. M Wiseman and G. J. Milburn, Phys. Rev. A 47, 1652 (1993).
J. Dalibard, Y. Castin, and K. Molmer, Phys. Rev. Lett. 68, 580 (1992).
N. Gisin and I. C. Percival, J. Phys. A 26, 2233 (1993). N. Gisin and I. C. Percival, J. Phys. A 26, 2246 (1993).
H. M. Wiseman, Quant. Semiclass. Opt. 8, 205 (1996). T. P. Spiller, Phys. Lett. A 192, 163 (1994).
J. von Neumann, Mathematical Foundations of Quantum Mechanics (Princeton University Press, Princeton, 1955), Chap. V.
M. Lax, “Fluctuation and coherence phenomena,” in Statistical Physics, Vol. II (1966 Brandeis University Summer Institute in Theoretical Physics), M. Chretien, E. P. Gross, and S. Deser, eds. (Gordon & Breach, New York, 1968).
E. Schrö dinger, Sitzber. Preuss. Akad. Wiss. Phys.-Math. 24, 418 (1930).
J. Diggins, R. Whiteman, T. D. Clark, R. J. Prance, H. Prance, J. F. Ralph, A. Widom, and Y. Srivastava, Physica B 233, 8 (1997).
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Ralph, J.F., Clark, T.D., Prance, H. et al. Solutions of the Time-Dependent Schrödinger Equation for a Two-State System. Foundations of Physics 28, 1271–1282 (1998). https://doi.org/10.1023/A:1018822809439
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DOI: https://doi.org/10.1023/A:1018822809439