Abstract
We show that, in the weak coupling limit, the laser model process converges in law to a quantum diffusion whose equation is explicitly obtained.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Bibliography
Accardi, L. Quantum Markov chains. Proceedings School of Mathematical Physics, University of Camerino 1974
Accardi L., and Bach, A.(1988): The harmonic oscillator as quantum central limit theorem of Bernoulli processes. Prob. Th. Rel. Fields, to appear
Accardi, L., Frigerio, A., and Lewis, J.T.(1982): Publ. RIMS (Kyoto Univ.) 18, 97–133.
Accardi, L., J. Quaegebeur: The Ito algebra of quantum Gaussian fields. J.Funct.Anal. to appear
Accardi, L., Frigerio, A., Lu Y.G.: The weak coupling limit in the finite temperature case. Proceedings 2-d Ascona Conference on Stochastic Processes and Mathematical Physics, to appear
Davies, E.B.(1974): Commun. Math. Phys. 39, 91–110.
Davies, E.B.(1976): Quantum Theory of Open Systems, Academic Press, London and New York
Davies, E. B.(1982): One-Parameter Semigroups. Academic Press, London and New York
Frigerio, A.: SLN in Mathematics vol. 1303(1988), 107–127
Gorini, V., Kossakowski, A., and Sudarshan, E.C.G.(1976): J. Math. Phys. 17, 821–825.
Haken H. Laser theory. Springer 1984
Hudson, R.L., and Parthasarathy, K.R.(1984a): Commun. Math Phys. 91, 301–323.
Hudson, R.L., and Lindsay, J.M.(1985b): Springer Lecture Notes in Mathematics vol. 1136, pp. 276–305.
Lindblad, G.(1976): Commun. Math. Phys. 48, 119–130.
Pule, J.V.(1974): Commun. Math. Phys. 38, 241–256.
Spohn, H.(1980): Rev. Mod. Phys. 53, 569–615.
van Hove, L.(1955): Physica 21,517–540
Yoshida K. (1966): Functional Analysis. Springer
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1989 Springer-Verlag
About this paper
Cite this paper
Accardi, L., Frigerio, A., Lu, Y.G. (1989). On the weak coupling limit problem. In: Accardi, L., von Waldenfels, W. (eds) Quantum Probability and Applications IV. Lecture Notes in Mathematics, vol 1396. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083542
Download citation
DOI: https://doi.org/10.1007/BFb0083542
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-51613-2
Online ISBN: 978-3-540-46713-7
eBook Packages: Springer Book Archive