Abstract
A quantum-stochastic description of a continuous photon counting measurement in the “atom plus a boson field” model has been developed. The statistics of photon counts has been found. The posterior stochastic Schrödinger equation for the atom under a continuous counting observation has been solved. It has been proved that the atom relaxes without mixing to its ground state.
Similar content being viewed by others
References
W. Neuhauser, M. Hohenstatt, P. E. Toschek and H. Dehmelt, Phys. Rev.A 22, 1137 (1980).
J. C. Bergquist, R. G. Hulet, W. M. Itano, Phys. Rev. Lett.57, 1699 (1986).
W. Nagourney, J. Sandberg, H. Dehmelt, Phys. Rev. Lett.58, 2797 (1986).
H. Dehmelt, Bull. Am. Phys. Soc.22, 60 (1980).
E. B. Davies, M. D. Srinivas, Optica Acta28, 981 (1981).
A. Barchielli, J. Phys. A: Math. Gen.20, 6341 (1987).
V. P. Belavkin, inStochastic methods in mathematics and physics, edited by R. Gielerak and W. Karwowski, World Scientific, Singapore 1989, p. 31.
V. P. Belavkin, J. Phys. A: Math. Gen.22, L1109 (1989).
V. P. Belavkin, P. Staszewski, Rep. Math. Phys.29, 213 (1991).
V. P. Belavkin, A. Barchielli, J. Phys. A: Math. Gen.24, 1495 (1991).
V. P. Belavkin, Radiotechnika i Elektronika25, 1445 (1980).
V. P. Belavkin, Phys. Lett. A140, 355 (1989).
V. P. Belavkin, P. Staszewski, Phys. Lett. A140, 359 (1989).
V. P. Belavkin, J. Math. Phys.31, 2930 (1990).
V. P. Belavkin, P. Staszewski, Phys. Rev. A45, 1347 (1992).
V. P. Belavkin,A continuous nondemolition observation of quantum Brownian motion, unpublished.
D. Chruściński, P. Staszewski, Physica Scripta45, 193 (1992).
B. Misra and E. C. G. Sudarshan, J. Math. Phys.18, 756 (1977).
V. B. Braginsky, Y. I. Vorontzov, and F. J. Halili, Zh. Eksp. Teor. Fiz.73, 1340 (1977) [Sov. Phys. - JETP46, 765(1977)].
R. L. Hudson, K. R. Parthasarathy, Commun. Math. Phys.93, 301 (1984).
C. W. Gardiner, M. J. Collett, Phys. Rev. A31, 3761 (1985).
A. Barchielli, Phys. Rev. A34, 1642 (1986).
A. Barchielli, inQuantum probability and applications III, edited by L. Accardi and W. von Waldenfels, Springer, Berlin 1988, p. 37.
E. B. Davies,Quantum theory of open systems, Academic, London 1976.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Staszewski, P., Staszewska, G. Atom relaxing under a counting observation. Open Syst Inf Dyn 1, 103–114 (1992). https://doi.org/10.1007/BF02228938
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02228938