Abstract
In recent years increasing use has been made of methods of quantum statistics and stochastic processes in a variety of problems in quantum optics. A comprehensive list of references can be found in the review articles of Agarwal [1] and Haken [2], see also a recent work of Gronchi and Lugiato [3]. In many cases of practical interest one is concerned with the dynamics of an open systems S moving irreversibly under the influence of a reservoir R. Ultimately, the properties of S are inferred through the elimination of the R-variables. This is usually accomplished by two complementary approaches:
-
(i)
The elimination procedure in the Schrödinger picture leads to an equation for a reduced density operator (master equation).
-
(ii)
The elimination procedure in the Heisenberg picture leads to a generalized, including memory effects, Langevin equation.
Research supported by the National Research Council of Canada.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
G.S. Agarwal, in Progress in Optics, Vol. XI, ed. E. Wolf ( North-Holland, Amsterdam, 1973 ) p. 3.
H. Haken, Rev. Mod. Phys. 47, 67 (1975).
M. Gronchi and L.A. Lugiato, Phys. Rev. A13, 830 (1976).
S.K. Bose and D.T. Ng, Phys. Rev. A11, 1001 (1975).
S.K. Bose and D.T. Ng, Phys. Rev. A13, 1548 (1976).
W.H. Louisell, Quantum Statistical Properties of Radiation (John Wiley, New York,1973) chapters 6 and 7.
W. Weidlich, Z. Physik, 241, 325 (1971).
H. Mori, Prog. Theoret. Phys. (Kyoto) 33, 423 (1965).
W. Weidlich, Z. Physik, 248, 234 (1971).
R. Bonifacio and F. Haake, Z. Physik, 200, 526 (1967).
T. Kawasaki, Progr. Theoret. Phys. 49, 2151 (1973).
R. Bonifacio, P. Schwendimann and F. Haake, Phys. Rev. A4, 302 (1971).
R.J. Glauber and F. Haake, Phys. Rev. A13, 357 (1976).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1978 Springer Science+Business Media New York
About this paper
Cite this paper
Zardecki, A. (1978). Memory Function Methods for Quantum Systems in Contact with Reservoirs. In: Mandel, L., Wolf, E. (eds) Coherence and Quantum Optics IV. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-0665-9_6
Download citation
DOI: https://doi.org/10.1007/978-1-4757-0665-9_6
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4757-0667-3
Online ISBN: 978-1-4757-0665-9
eBook Packages: Springer Book Archive